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Setting the stage: Building and maintaining a habitable world and the
early conditions that could favor life's beginnings on Earth and beyond
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2024
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Christopher K. R. T. Jones
Michaela Leung
Chenyi Tu
Saleheh Ebadirad
N. Justin Marshall
Lin Tan
Tim Lyons
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The impact of a wind switch on the stability of traveling fronts in a
reaction-diffusion model of fire propagation
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2024
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Olivia Sarita Chandrasekhar
Christopher K. R. T. Jones
Blake Barker
Rodman Linn
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Tipping mechanisms in a carbon cycle model
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2024
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Katherine Slyman
Emmanuel Fleurantin
Christopher K. R. T. Jones
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PDF
Chat
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Tipping in a low-dimensional model of a tropical cyclone
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2023
|
Katherine Slyman
John A. Gemmer
Nicholas K. Corak
Claire Kiers
Christopher K. R. T. Jones
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PDF
Chat
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A dynamical systems approach for most probable escape paths over periodic boundaries
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2023
|
Emmanuel Fleurantin
Katherine Slyman
Blake Barker
Christopher K. R. T. Jones
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PDF
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Rate and noise-induced tipping working in concert
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2023
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Katherine Slyman
Christopher K. R. T. Jones
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A Dynamical Systems Approach for Most Probable Escape Paths over Periodic Boundaries
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2023
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Emmanuel Fleurantin
Katherine Slyman
Blake Barker
Christopher K. R. T. Jones
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Tipping in a Low-Dimensional Model of a Tropical Cyclone
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2023
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Katherine Slyman
John A. Gemmer
Nicholas K. Corak
Claire Kiers
Christopher K. R. T. Jones
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PDF
Chat
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Generalized Maslov Indices for Non-Hamiltonian Systems
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2022
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Thomas John Baird
Paul Cornwell
Graham Cox
Christopher K. R. T. Jones
Robert Marangell
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Rate and Noise-Induced Tipping Working in Concert
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2022
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Katherine Slyman
Christopher K. R. T. Jones
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PDF
Chat
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Bifurcation to Instability Through the Lens of the Maslov Index
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2021
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Paul Cornwell
Christopher K. R. T. Jones
Claire Kiers
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Bifurcation to instability through the lens of the Maslov index.
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2021
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Paul Cornwell
Christopher K. R. T. Jones
Claire Kiers
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+
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Bifurcation to instability through the lens of the Maslov index
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2021
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P. B. Cornwell
Christopher K. R. T. Jones
Claire Kiers
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PDF
Chat
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An international initiative of predicting the SARS-CoV-2 pandemic using ensemble data assimilation
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2020
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Geir Evensen
Javier Amezcua
Marc Bocquet
Alberto Carrassi
Alban Farchi
Alison Fowler
P. L. Houtekamer
Christopher K. R. T. Jones
Rafael J. de Moraes
Manuel Pulido
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PDF
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The essential spectrum of periodically stationary solutions of the complex GinzburgâLandau equation
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2020
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J. Zweck
Yuri Latushkin
Jeremy L. Marzuola
Christopher K. R. T. Jones
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A Maslov index for non-Hamiltonian systems
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2020
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Thomas John Baird
Paul Cornwell
Graham Cox
Christopher K. R. T. Jones
Robert Marangell
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An international assessment of the COVID-19 pandemic using ensemble data assimilation
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2020
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Geir Evensen
Javier Amezcua
Marc Bocquet
Alberto Carrassi
Alban Farchi
Alison Fowler
Peter Houtekamer
Christopher K. R. T. Jones
Rafael J. de Moraes
Manuel Pulido
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+
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The essential spectrum of periodically-stationary solutions of the complex Ginzburg-Landau equation
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2020
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J. Zweck
Yuri Latushkin
Jeremy L. Marzuola
Christopher K. R. T. Jones
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PDF
Chat
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Exponential Dichotomies for Elliptic PDE on Radial Domains
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2020
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Margaret Beck
Graham Cox
Christopher K. R. T. Jones
Yuri Latushkin
Alim Sukhtayev
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The essential spectrum of periodically-stationary solutions of the complex Ginzburg-Landau equation
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2020
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J. Zweck
Yuri Latushkin
Jeremy L. Marzuola
Christopher K. R. T. Jones
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A dynamical approach to semilinear elliptic equations
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2019
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Margaret Beck
Graham Cox
Christopher K. R. T. Jones
Yuri Latushkin
Alim Sukhtayev
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PDF
Chat
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On Conditions for Rate-induced Tipping in Multi-dimensional Dynamical Systems
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2019
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Claire Kiers
Christopher K. R. T. Jones
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+
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A stability index for travelling waves in activator-inhibitor systems
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2019
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Paul Cornwell
Christopher K. R. T. Jones
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+
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On Conditions for Rate-induced Tipping in Multi-Dimensional Dynamical Systems
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2018
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Claire Kiers
Christopher K. R. T. Jones
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PDF
Chat
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On the Existence and Stability of Fast Traveling Waves in a Doubly Diffusive FitzHugh--Nagumo System
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2018
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Paul Cornwell
Christopher K. R. T. Jones
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+
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On Conditions for Rate-induced Tipping in Multi-Dimensional Dynamical Systems
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2018
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Claire Kiers
Christopher K. R. T. Jones
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+
PDF
Chat
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A coherent structure approach for parameter estimation in Lagrangian Data Assimilation
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2017
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John Maclean
Naratip Santitissadeekorn
Christopher K. R. T. Jones
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A Stability Index for Traveling Waves in Activator-Inhibitor Systems
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2017
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Paul Cornwell
Christopher K. R. T. Jones
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PDF
Chat
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Rank Deficiency of Kalman Error Covariance Matrices in Linear Time-Varying System With Deterministic Evolution
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2017
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Karthik S. Gurumoorthy
Colin Grudzien
Amit Apte
Alberto Carrassi
Christopher K. R. T. Jones
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PDF
Chat
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Manifold decompositions and indices of Schr\\\"{o}dinger operators
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2017
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Graham Cox
Christopher K. R. T. Jones
Jeremy L. Marzuola
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PDF
Chat
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Degenerate Kalman Filter Error Covariances and Their Convergence onto the Unstable Subspace
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2017
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Marc Bocquet
Karthik S. Gurumoorthy
Amit Apte
Alberto Carrassi
Colin Grudzien
Christopher K. R. T. Jones
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+
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A Stability Index for Traveling Waves in Activator-Inhibitor Systems
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2017
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P. B. Cornwell
Christopher K. R. T. Jones
|
+
PDF
Chat
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A coherent structure approach for parameter estimation in Lagrangian Data Assimilation
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2017
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John Maclean
Naratip Santitissadeekorn
Christopher K. R. T. Jones
|
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PDF
Chat
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On the spectral and modulational stability of periodic wavetrains for nonlinear Klein-Gordon equations
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2016
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Christopher K. R. T. Jones
Robert Marangell
Peter D. Miller
RamĂłn G. Plaza
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Counting spectrum via the Maslov index for one dimensional $\theta -$periodic Schrödinger operators
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2016
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Christopher K. R. T. Jones
Yuri Latushkin
Selim Sukhtaiev
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PDF
Chat
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The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials
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2016
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Graham Cox
Christopher K. R. T. Jones
Yuri Latushkin
Alim Sukhtayev
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Mixed-Mode Oscillations of El NiñoâSouthern Oscillation
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2016
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A. J. Roberts
John Guckenheimer
Esther Widiasih
Axel Timmermann
Christopher K. R. T. Jones
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PDF
Chat
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On the spectral and modulational stability of periodic wavetrains for nonlinear Klein-Gordon equations
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2016
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Christopher K. R. T. Jones
Robert Marangell
Peter D. Miller
RamĂłn G. Plaza
|
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PDF
Chat
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Mixed-Mode Oscillations of El NiñoâSouthern Oscillation
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2016
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Andrew Roberts
John Guckenheimer
Esther Widiasih
Axel Timmermann
Christopher K. R. T. Jones
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PDF
Chat
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Approximation of Random Slow Manifolds and Settling of Inertial Particles Under Uncertainty
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2015
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Jian Ren
Jinqiao Duan
Christopher K. R. T. Jones
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PDF
Chat
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A Morse Index Theorem for Elliptic Operators on Bounded Domains
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2015
|
Graham Cox
Christopher K. R. T. Jones
Jeremy L. Marzuola
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+
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Rank deficiency of Kalman error covariance matrices in linear perfect model
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2015
|
Karthik S. Gurumoorthy
Colin Grudzien
Amit Apte
Alberto Carrassi
Christopher K. R. T. Jones
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+
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Two-Stage Filtering for Joint State-Parameter Estimation
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2015
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Naratip Santitissadeekorn
Christopher K. R. T. Jones
|
+
PDF
Chat
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Two-Stage Filtering for Joint State-Parameter Estimation
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2015
|
Naratip Santitissadeekorn
Christopher K. R. T. Jones
|
+
PDF
Chat
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Approximation of Random Slow Manifolds and Settling of Inertial Particles Under Uncertainty
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2015
|
Jianan Ren
Jinqiao Duan
Christopher K. R. T. Jones
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+
PDF
Chat
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Mixed mode oscillations in a conceptual climate model
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2014
|
A. J. Roberts
Esther Widiasih
Martin Wechselberger
Christopher K. R. T. Jones
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+
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Spectral and modulational stability of periodic wavetrains for the nonlinear KleinâGordon equation
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2014
|
Christopher K. R. T. Jones
Robert Marangell
Peter D. Miller
RamĂłn G. Plaza
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+
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The Morse and Maslov indices for multidimensional Schr\"odinger operators with matrix-valued potentials
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2014
|
Graham Cox
Christopher K. R. T. Jones
Yuri Latushkin
Alim Sukhtayev
|
+
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A Morse index theorem for elliptic operators on bounded domains
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2014
|
Graham Cox
Christopher K. R. T. Jones
Jeremy L. Marzuola
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+
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Finding Eigenvalues the Rupert Way
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2014
|
Colin Grudzien
Tom J. Bridges
Christopher K. R. T. Jones
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+
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The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials
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2014
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Graham Cox
Christopher K. R. T. Jones
Yuri Latushkin
Alim Sukhtayev
|
+
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A Morse index theorem for elliptic operators on bounded domains
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2014
|
Graham Cox
Christopher K. R. T. Jones
Jeremy L. Marzuola
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+
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Spectral and Modulational Stability of Periodic Wavetrains for the Nonlinear Klein-Gordon Equation
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2013
|
Christopher K. R. T. Jones
Robert Marangell
Peter D. Miller
RamĂłn G. Plaza
|
+
PDF
Chat
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The Morse and Maslov indices for matrix Hillâs equations
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2013
|
Christopher K. R. T. Jones
Yuri Latushkin
Robert Marangell
|
+
PDF
Chat
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On the stability analysis of periodic sineâGordon traveling waves
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2013
|
Christopher K. R. T. Jones
Robert Marangell
Peter D. Miller
RamĂłn G. Plaza
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+
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Spectral Renormalization Applied to NLS in Hyperbolic Space and NLS with Singular Potentials
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2013
|
Matthew Scott Harris
Jeremy L. Marzuola
Christopher K. R. T. Jones
Michael E. Taylor
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+
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Spectral and Modulational Stability of Periodic Wavetrains for the Nonlinear Klein-Gordon Equation
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2013
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Christopher K. R. T. Jones
Robert Marangell
Peter D. Miller
RamĂłn G. Plaza
|
+
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The Morse and Maslov indices for matrix Hill's equations
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2013
|
Christopher K. R. T. Jones
Yuri Latushkin
Robert Marangell
|
+
PDF
Chat
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On the stability analysis of periodic sineâGordon traveling waves
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2013
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Christopher K. R. T. Jones
Robert Marangell
P. R. Miller
RamĂłn G. Plaza
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+
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Approximation of Random Slow Manifolds and Settling of Inertial Particles under Uncertainty
|
2012
|
Jian Ren
Jinqiao Duan
Christopher K. R. T. Jones
|
+
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Multi-dimensional Morse Index Theorems and a symplectic view of elliptic boundary value problems
|
2010
|
Jian Deng
Christopher K. R. T. Jones
|
+
PDF
Chat
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Localized standing waves in inhomogeneous Schrödinger equations
|
2010
|
Robert Marangell
Christopher K. R. T. Jones
H. Susanto
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+
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Stability of Travelling Wave Solutions to the Sine-Gordon Equation
|
2010
|
Christopher K. R. T. Jones
Robert Marangell
|
+
PDF
Chat
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Existence of Multi-Pulses of the Regularized Short-Pulse and Ostrovsky Equations
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2009
|
Vahagn Manukian
Nicola Costanzino
Christopher K. R. T. Jones
Björn Sandstede
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Capturing deviation from ergodicity at different scales
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2009
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Sherry E. Scott
Thomas C. Redd
L. Kuznetsov
Igor MeziÄ
Christopher K. R. T. Jones
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+
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Generalized exchange lemmas and orbits heteroclinic to invariant manifolds
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2009
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Christopher K. R. T. Jones
Siu-Kei Tin
|
+
PDF
Chat
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Solitary Waves of the Regularized Short Pulse and Ostrovsky Equations
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2009
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Nicola Costanzino
Vahagn Manukian
Christopher K. R. T. Jones
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PDF
Chat
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Existence of Multi-Pulses of the Regularized Short-Pulse and Ostrovsky Equations
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2009
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Vahagn Manukian
Nicola Costanzino
Christopher K. R. T. Jones
Björn Sandstede
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+
PDF
Chat
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Solitary Waves of the Regularized Short Pulse and Ostrovsky Equations
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2009
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Nicola Costanzino
Vahagn Manukian
Christopher K. R. T. Jones
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+
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Solitary waves of the regularized short pulse and Ostrovsky equations
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2008
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Nick Costanzino
Vahagn Manukian
Christopher K. R. T. Jones
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PDF
Chat
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Solitary waves under the competition of linear and nonlinear periodic potentials
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2007
|
Zoi Rapti
P. G. Kevrekidis
V. V. Konotop
Christopher K. R. T. Jones
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PDF
Chat
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Ultra-short pulses in linear and nonlinear media
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2005
|
Yeojin Chung
Christopher K. R. T. Jones
Tobias SchÀfer
C. Eugene Wayne
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+
PDF
Chat
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Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory
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2005
|
Emmanuel Grenier
Christopher K. R. T. Jones
Frédéric Rousset
Björn Sandstede
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+
PDF
Chat
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Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory
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2004
|
Emmanuel Grenier
Christopher K. R. T. Jones
Frédéric Rousset
Björn Sandstede
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+
PDF
Chat
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Stable Pulse Solutions for the Nonlinear Schrödinger Equation with Higher Order Dispersion Management
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2004
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J. Moeser
Christopher K. R. T. Jones
Vadim Zharnitsky
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+
PDF
Chat
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Stable Pulse Solutions for the Nonlinear Schrödinger Equation with Higher Order Dispersion Management
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2004
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Jamison T. Moesert
Christopher K. R. T. Jones
Vadim Zharnitsky
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+
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Weak finite-time Melnikov theory and 3D viscous perturbations of Euler flows
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2003
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Sanjeeva Balasuriya
Igor MeziÄ
Christopher K. R. T. Jones
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+
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Bifurcation of asymmetric solutions in nonlinear optical media
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2001
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Christopher K. R. T. Jones
Tassilo KĂŒpper
ArnaudâPierre Schaffner
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+
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Stabilizing effects of dispersion management
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2001
|
Vadim Zharnitsky
Emmanuel Grenier
Christopher K. R. T. Jones
Sergei K. Turitsyn
|
+
PDF
Chat
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Ground states of dispersion-managed nonlinear Schrödinger equation
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2000
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Vadim Zharnitsky
Emmanuel Grenier
Sergei K. Turitsyn
Christopher K. R. T. Jones
Jan S. Hesthaven
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+
PDF
Chat
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Melnikov theory for finite-time vector fields
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2000
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Björn Sandstede
Sanjeeva Balasuriya
Christopher K. R. T. Jones
Patrick D. Miller
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+
PDF
Chat
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A spectral mapping theorem and invariant manifolds for nonlinear Schrodinger equations
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2000
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Fritz Gesztesy
Christopher K. R. T. Jones
Yuri Latushkin
Milena Stanislavova
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+
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A Spectral Mapping Theorem and Invariant Manifolds for Nonlinear Schrödinger Equations
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1999
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Fritz Gesztesy
Christopher K. R. T. Jones
Yuri Latushkin
Milena Stanislavova
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+
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Proceedings of the workshop on Time-reversal symmetry in dynamical systems
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1998
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Jeroen S. W. Lamb
F. H. Busse
Christopher K. R. T. Jones
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+
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Quantifying transport in numerically generated velocity fields
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1997
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Patrick D. Miller
Christopher K. R. T. Jones
A. M. Rogerson
Lawrence J. Pratt
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+
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Stability of pulses on optical fibers with phase-sensitive amplifiers
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1997
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J. C. Alexander
Manoussos G. Grillakis
Christopher K. R. T. Jones
Björn Sandstede
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+
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Tracking Invariant Manifolds up to Exponentially Small Errors
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1996
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Christopher K. R. T. Jones
Tasso J. Kaper
Nancy Kopell
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+
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Instability of quasiperiodic solutions of the GinzburgâLandau equation
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1995
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Arjen Doelman
Rod Gardner
Christopher K. R. T. Jones
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+
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Geometric singular perturbation theory
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1995
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Christopher K. R. T. Jones
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+
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Invariant Manifolds and Singularly Perturbed Boundary Value Problems
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1994
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Siu-Kei Tin
Nancy Kopell
Christopher K. R. T. Jones
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+
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Tracking Invariant Manifolds with Differential Forms in Singularly Perturbed Systems
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1994
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Christopher K. R. T. Jones
Nancy Kopell
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+
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On the significance of homoclinic orbits to chaotic motion
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1994
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Christopher K. R. T. Jones
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+
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Stability of travelling waves for nonâconvex scalar viscous conservation laws
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1993
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Christopher K. R. T. Jones
Robert Gardner
Todd Kapitula
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+
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A Geometric Proof of the Kwong-McLeod Uniqueness Result
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1993
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C. B. Clemons
Christopher K. R. T. Jones
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+
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Competition between generic and nongeneric fronts in envelope equations
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1991
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James A. Powell
Alan C. Newell
Christopher K. R. T. Jones
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+
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A stability index for steady state solutions of boundary value problems for parabolic systems
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1991
|
Rod Gardner
Christopher K. R. T. Jones
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+
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Construction of the Fitzhugh-Nagumo Pulse Using Differential Forms
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1991
|
Christopher K. R. T. Jones
Nancy Kopell
Rudolph E. Langer
|
+
PDF
Chat
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Stability of travelling wave solutions of diffusive predator-prey systems
|
1991
|
Rod Gardner
Christopher K. R. T. Jones
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+
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TRAVELING WAVES OF A PERTURBED DIFFUSION EQUATION ARISING IN A PHASE FIELD MODEL
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1990
|
Rod Gardner
Christopher K. R. T. Jones
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+
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Jumping stable manifolds for dissipative maps of the plane
|
1989
|
Stephen Hammel
Christopher K. R. T. Jones
|
+
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Invariant Manifolds for Semilinear Partial Differential Equations
|
1989
|
Peter W. Bates
Christopher K. R. T. Jones
|
+
PDF
Chat
|
Instability of standing waves for non-linear Schrödinger-type equations
|
1988
|
Christopher K. R. T. Jones
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+
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Radial solutions of a semilinear elliptic equation at a critical exponent
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1988
|
Christopher K. R. T. Jones
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+
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An instability mechanism for radially symmetric standing waves of a nonlinear Schrödinger equation
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1988
|
Christopher K. R. T. Jones
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+
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A shooting argument with oscillation for semilinear elliptic radially symmetric equations
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1988
|
Christopher K. R. T. Jones
Tassilo KĂŒpper
H. Plakties
|
+
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Instability of standing waves in nonlinear optical waveguides
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1986
|
Christopher K. R. T. Jones
J. V. Moloney
|
+
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On the Infinitely Many Solutions of a Semilinear Elliptic Equation
|
1986
|
Christopher K. R. T. Jones
Tassilo KĂŒpper
|
+
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Chaos and coherent structures in partial differential equations
|
1986
|
Alejandro B. Aceves
H. Adachihara
Christopher K. R. T. Jones
Juan Carlos Lerman
David W. McLaughlin
Jerome V. Moloney
Alan C. Newell
|
+
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INVARIANT MANIFOID 'l'HEOREN) WITH APPLICATIONS
|
1986
|
Peter W. Bates
Christopher K. R. T. Jones
|
+
PDF
Chat
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Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
|
1984
|
Christopher K. R. T. Jones
|
+
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Characterisation of bifurcation from the continuous spectrum by nodal properties
|
1984
|
Christopher K. R. T. Jones
Tassilo KĂŒpper
|
+
|
Spherically symmetric solutions of a reaction-diffusion equation
|
1983
|
Christopher K. R. T. Jones
|
+
PDF
Chat
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Asymptotic behavior of a reaction-diÎusion equation in higher space dimensions
|
1983
|
Christopher K. R. T. Jones
|