+
PDF
Chat
|
The One-Dimensional Version of Peixoto's Structural Stability Theorem: A Calculus-Based Proof
|
2023
|
Aminur Rahman
Denis Blackmore
|
+
|
The One-dimensional Version of Peixoto's Structural Stability Theorem: A Calculus-based Proof
|
2023
|
Aminur Rahman
Denis Blackmore
|
+
|
New Dubrovin-type integrability theory applications of differential rings
|
2023
|
Orest D. Artemovych
Denis Blackmore
R. A. Kycia
Anatolij K. Prykarpatski
|
+
PDF
Chat
|
Entropy and Ergodicity of Boole-Type Transformations
|
2021
|
Denis Blackmore
Alexander Balinsky
R. A. Kycia
Anatolij K. Prykarpatski
|
+
PDF
Chat
|
Solutocapillary Marangoni flow induced in a waterbody by a solute source
|
2021
|
Islam Benouaguef
Naga Musunuri
Edison Amah
Denis Blackmore
Ian S. Fischer
Pushpendra Singh
|
+
PDF
Chat
|
Interesting Features of Three-Dimensional Discrete Lotka-Volterra Dynamics
|
2021
|
Yogesh M. Joshi
Micelle Savescu
Musa Syed
Denis Blackmore
|
+
PDF
Chat
|
Generalized Attracting Horseshoe in the Rössler Attractor
|
2020
|
K.S.N. Murthy
Ian Jordan
Parth Sojitra
Aminur Rahman
Denis Blackmore
|
+
PDF
Chat
|
Walking droplets through the lens of dynamical systems
|
2020
|
Aminur Rahman
Denis Blackmore
|
+
|
Topological Characterization of Isolated Singularities of Infinite Dimensional Complex Hypersurfaces
|
2020
|
Denis Blackmore
|
+
|
Solutocapillary Marangoni flow induced in waterbody by solute source
|
2020
|
Islam Benouaguef
Naga Musunuri
Edison Amah
Denis Blackmore
Ingo Fischer
Prithi Pal Singh
|
+
|
Interesting bifurcations in walking droplet dynamics
|
2020
|
Aminur Rahman
Denis Blackmore
|
+
PDF
Chat
|
Solvability, Completeness and Computational Analysis of A Perturbed Control Problem with Delays
|
2020
|
Ludwik Byszewski
Denis Blackmore
Alexander Balinsky
Anatolij K. Prykarpatski
Mirosław Luśtyk
|
+
PDF
Chat
|
Non-associative structures of commutative algebras related with quadratic Poisson brackets
|
2020
|
Orest D. Artemovych
Denis Blackmore
Anatolij K. Prykarpatski
|
+
|
Theory of Multidimensional Delsarte–Lions Transmutation Operators. II
|
2019
|
А. М. Самойленко
Y. A. Prykarpatsky
Denis Blackmore
Anatoliy K. Prykarpatsky
|
+
PDF
Chat
|
Dispersionless Multi-Dimensional Integrable Systems and Related Conformal Structure Generating Equations of Mathematical Physics
|
2019
|
Oksana Ye. Hentosh
Yarema A. Prykarpatsky
Denis Blackmore
Anatolij K. Prykarpatski
|
+
PDF
Chat
|
A Dynamical Systems-Based Hierarchy for Shannon, Metric and Topological Entropy
|
2019
|
Raymond Addabbo
Denis Blackmore
|
+
|
Theory of Multidimensional Delsarte–Lions Transmutation Operators. I
|
2019
|
А. М. Самойленко
Y. A. Prykarpatsky
Denis Blackmore
Anatoliy K. Prykarpatsky
|
+
|
On some class of factorized operator dynamical systems and their integrability
|
2019
|
Denis Blackmore
Anatoliy K. Prykarpatsky
|
+
|
The dispersionless multi-dimensional integrable systems and related conformal structure generating equations of mathematical physics
|
2019
|
O. E. Hentosh
Yarema A. Prykarpatsky
Denis Blackmore
Anatolij K. Prykarpatski
|
+
|
The dispersionless integrable systems and related conformal structure generating equations of mathematical physics
|
2019
|
O. E. Hentosh
Yarema A. Prykarpatsky
Denis Blackmore
Anatolij K. Prykarpatski
|
+
|
Generalized Attracting Horseshoe in the R\"{o}ssler Attractor
|
2018
|
K.S.N. Murthy
Parth Sojitra
Aminur Rahman
Ian Jordan
Denis Blackmore
|
+
PDF
Chat
|
Reduced Pre-Lie Algebraic Structures, the Weak and Weakly Deformed Balinsky–Novikov Type Symmetry Algebras and Related Hamiltonian Operators
|
2018
|
Orest D. Artemovych
Alexander Balinsky
Denis Blackmore
Anatolij K. Prykarpatski
|
+
PDF
Chat
|
Generalized Lie-algebraic structures related to integrable dispersionless dynamical systems and their application
|
2018
|
O. E. Hentosh
Yarema A. PRYKARPATSKİ
Denis Blackmore
Anatolij K. Prykarpatski
|
+
|
New fractional nonlinear integrable Hamiltonian systems
|
2018
|
Oksana Ye. Hentosh
Bohdan Kyshakevych
Denis Blackmore
Anatolij K. Prykarpatski
|
+
PDF
Chat
|
Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators
|
2018
|
Orest D. Artemovych
Anatolij K. Prykarpatski
Denis Blackmore
|
+
PDF
Chat
|
Qualitative models and experimental investigation of chaotic NOR gates and set/reset flip-flops
|
2018
|
Aminur Rahman
Ian Jordan
Denis Blackmore
|
+
PDF
Chat
|
A novel integrability analysis of a generalized Riemann type hydrodynamic hierarchy
|
2018
|
Anatolij M. Samoilenko
Yarema Prykarpatskyy
Denis Blackmore
Anatolij K. Prykarpatski
|
+
|
Generalized Attracting Horseshoe in the Rössler Attractor
|
2018
|
K.S.N. Murthy
Parth Sojitra
Aminur Rahman
Ian Jordan
Denis Blackmore
|
+
|
Exotic Bifurcations Inspired by Walking Droplet Dynamics
|
2017
|
Aminur Rahman
Denis Blackmore
|
+
|
Lie-algebraic structure of Lax–Sato integrable heavenly equations and the Lagrange–d’Alembert principle
|
2017
|
O. E. Hentosh
Yarema A. Prykarpatsky
Denis Blackmore
Anatolij K. Prykarpatski
|
+
|
The Novel Lie-Algebraic Approach to Studying Integrable Heavenly Type Multi-Dimensional Dynamical Systems
|
2017
|
Denis Blackmore
Hentosh EO
Prykarpatski AK
|
+
|
Exotic Bifurcations Inspired by Walking Droplet Dynamics
|
2017
|
Aminur Rahman
Denis Blackmore
|
+
PDF
Chat
|
Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems
|
2016
|
Orest D. Artemovych
Denis Blackmore
Anatolij K. Prykarpatski
|
+
PDF
Chat
|
Neimark-Sacker bifurcations and evidence of chaos in a discrete dynamical model of walkers
|
2016
|
Aminur Rahman
Denis Blackmore
|
+
|
The Pfeiffer-Lax-Sato type vector field equations and the related integrable versal deformations
|
2016
|
Denis Blackmore
Anatolij K. Prykarpatski
Myroslava Vovk
Петро Пукач
Ya. Prykarpatski
|
+
PDF
Chat
|
The Lagrangian and Hamiltonian Aspects of the Electrodynamic Vacuum-Field Theory Models
|
2016
|
Nikolai N. Bogolubov
Anatoliy K. Prykarpatsky
Denis Blackmore
Yarema A. Prykarpatsky
|
+
|
Generalized Attracting Horseshoes and Chaotic Strange Attractors
|
2016
|
Yogesh M. Joshi
Denis Blackmore
Aminur Rahman
|
+
|
The integrable heavenly type equations and their Lie-algebraic structure
|
2016
|
O. E. Hentosh
Y. A. Prykarpatsky
Denis Blackmore
Anatolij K. Prykarpatski
|
+
|
RS Flip-Flop Circuit Dynamics Revisited
|
2015
|
Aminur Rahman
Denis Blackmore
|
+
PDF
Chat
|
Integrability Analysis of a Two-Component Burgers-Type Hierarchy
|
2015
|
Denis Blackmore
Anatoliy K. Prykarpatsky
Emin Özçağ
Kamal N. Soltanov
|
+
|
RS Flip-Flop Circuit Dynamics Revisited
|
2015
|
Aminur Rahman
Denis Blackmore
|
+
PDF
Chat
|
Strange attractors for asymptotically zero maps
|
2014
|
Yogesh M. Joshi
Denis Blackmore
|
+
|
Integrability of and differential–algebraic structures for spatially 1D hydrodynamical systems of Riemann type
|
2013
|
Denis Blackmore
Yarema A. Prykarpatsky
Nikolai N. Bogolubov
Anatolij K. Prykarpatski
|
+
|
The Lax integrability of a two-component hierarchy of the Burgers type dynamical systems within asymptotic and differential-algebraic approaches
|
2013
|
Denis Blackmore
Anatolij K. Prykarpatski
Emin Özçağ
Kamal N. Soltanov
|
+
|
MORSE INDEX FOR AUTONOMOUS LINEAR HAMILTONIAN SYSTEMS
|
2013
|
Denis Blackmore
C. Wang
|
+
PDF
Chat
|
Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations
|
2013
|
Denis Blackmore
Jolanta Golenia
A. K. Prykarpatsky
Y. A. Prykarpatsky
|
+
|
The AKNS hierarchy and the Gurevich-Zybin dynamical system integrability revisited
|
2013
|
Denis Blackmore
Yarema A. Prykarpatsky
Jolanta Golenia
Anatoliy K. Prykarpatsky
|
+
|
The Lax integrability of a two-component hierarchy of the Burgers type dynamical systems within asymptotic and differential-algebraic approaches
|
2013
|
Denis Blackmore
Anatolij K. Prykarpatski
Emin Özçağ
Kamal N. Soltanov
|
+
|
A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation
|
2012
|
Yarema A. Prykarpatsky
Denis Blackmore
Jolanta Golenia
Anatoliy K. Prykarpatsky
|
+
|
Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole type transformations
|
2012
|
Denis Blackmore
Jolanta Golenia
Yarema A. Prykarpatsky
Anatoliy K. Prykarpatsky
|
+
PDF
Chat
|
The AKNS Hierarchy Revisited: A Vertex Operator Approach and its Lie-Algebraic Structure
|
2012
|
Denis Blackmore
Anatoliy K. Prykarpatsky
|
+
|
On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System
|
2012
|
Denis Blackmore
Yarema A. Prykarpatsky
Orest D. Artemowych
Anatoliy K. Prykarpatsky
|
+
|
The Lagrangian and Hamiltonian Aspects of the Electrodynamic Vacuum-Field Theory Models
|
2012
|
Nikolai N. Bogolubov
Denis Blackmore
Anatolij K. Prykarpatsky
|
+
|
Isospectral integrability analysis of dynamical systems on discrete manifolds
|
2012
|
Denis Blackmore
Anatoliy K. Prykarpatsky
Yarema A. Prykarpatsky
|
+
|
Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole type transformations
|
2012
|
Denis Blackmore
Jolanta Golenia
Yarema A. Prykarpatsky
Anatoliy K. Prykarpatsky
|
+
|
A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation
|
2011
|
Yarema A. Prykarpatsky
Denis Blackmore
Jolanta Golenia
Anatoliy K. Prykarpatsky
|
+
|
A vertex operator representation of solutions to a Riemann type hydrodynamical hierarchy
|
2011
|
Yarema A. Prykarpatsky
Denis Blackmore
Jolanta Golenia
Anatoliy K. Prykarpatsky
|
+
|
A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation
|
2011
|
Yarema A. Prykarpatsky
Denis Blackmore
Jolanta Golenia
Anatoliy K. Prykarpatsky
|
+
|
Statistically Optimal Strategy Analysis of a Competing Portfolio Market with a Polyvariant Profit Function
|
2010
|
Bohdan Yu. Kyshakevych
Anatoliy K. Prykarpatsky
Denis Blackmore
Іван Твердохліб
|
+
|
The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure
|
2010
|
Denis Blackmore
Anatoliy K. Prykarpatsky
|
+
|
Statistically Optimal Strategy Analysis of a Competing Portfolio Market with a Polyvariant Profit Function
|
2010
|
Bohdan Yu. Kyshakevych
Anatoliy K. Prykarpatsky
Denis Blackmore
Іван Твердохліб
|
+
|
A solution set analysis of a nonlinear operator equation using a Leray–Schauder type fixed point approach
|
2009
|
Anatoliy K. Prykarpatsky
Denis Blackmore
|
+
PDF
Chat
|
Discrete dynamical modeling and analysis of the R–S flip-flop circuit
|
2009
|
Denis Blackmore
Aminur Rahman
Jigar Shah
|
+
|
Upper and lower solutions method for a superlinear duffing equation
|
2009
|
Chengwen Wang
Denis Blackmore
Xiaoxia Wang
|
+
|
The ω-limit sets of a flow and periodic orbits
|
2008
|
Xiaoxia Wang
Denis Blackmore
Chengwen Wang
|
+
PDF
Chat
|
A coaxial vortex ring model for vortex breakdown
|
2008
|
Denis Blackmore
Morten Brøns
Arnaud Goullet
|
+
|
Analysis of the solutions of coupled nonlinear fractional reaction–diffusion equations
|
2008
|
V. V. Gafiychuk
Bohdan Datsko
V. Meleshko
Denis Blackmore
|
+
|
Critical Solutions of Three Vortex Motion in the Parabolic Case
|
2008
|
Ting Lu
Omar Knio
Denis Blackmore
|
+
PDF
Chat
|
Studies of perturbed three vortex dynamics
|
2007
|
Denis Blackmore
Lu Ting
Omar Knio
|
+
|
Pitchfork bifurcations of invariant manifolds
|
2007
|
Jyoti Champanerkar
Denis Blackmore
|
+
PDF
Chat
|
The Cartan-Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders
|
2007
|
Denis Blackmore
Natalia K. Prykarpatska
В. Г. Самойленко
Eugeniusz Wachnicki
Marzenna Pytel-Kudela
|
+
|
On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity
|
2007
|
N. N. Bogoli︠u︡bov
Denis Blackmore
Valeriy Hr Samoylenko
Anatoliy K. Prykarpatsky
|
+
|
On Benney type hydrodynamical systems and their Boltzmann-Vlasov equations kinetic models
|
2006
|
B.N. NJr
Anatoliy K. Prykarpatsky
Denis Blackmore
|
+
|
Perturbed three point vortex problems
|
2005
|
Denis Blackmore
Omar Knio
Lu Ting
|
+
|
The uniqueness of limit cycles for Liénard system
|
2005
|
Yurong Zhou
Chengwen Wang
Denis Blackmore
|
+
PDF
Chat
|
Integrability by quadratures of Hamiltonian systems and Picard-Fuchs type equations: The modern differential-geometric aspects
|
2005
|
Y. A. Prykarpatsky
А. М. Самойленко
Denis Blackmore
Anatoliy K. Prykarpatsky
|
+
PDF
Chat
|
A generalized Poincaré-Birkhoff theorem with applications to coaxial vortex ring motion
|
2004
|
Chengwen Wang
Jyoti Champanerkar
Denis Blackmore
|
+
|
A geometrical approach to quantum holonomic computing algorithms
|
2004
|
А. М. Самойленко
Y. A. Prykarpatsky
Ufuk Taneri
Anatoliy K. Prykarpatsky
Denis Blackmore
|
+
|
On the Liouville-Arnold integrable flows related with quantum algebras and their Poissonian representations
|
2004
|
Anatoliy M. Samoilenko
Yarema A. Prykarpatsky
Denis Blackmore
Anatoliy K. Prykarpatsky
|
+
PDF
Chat
|
Hopf Algebras and Integrable Flows Related to the Heisenberg–Weil Coalgebra
|
2004
|
Anatoliy K. Prykarpatsky
А. М. Самойленко
Denis Blackmore
|
+
|
Pitchfork Bifurcations of Invariant Manifolds
|
2004
|
Jyoti Champanerkar
Denis Blackmore
|
+
|
The Lax solution to a Hamilton–Jacobi equation and its generalizations: Part 2
|
2003
|
Ya.V. Mykytiuk
Anatoliy K. Prykarpatsky
Denis Blackmore
|
+
PDF
Chat
|
On the inf-type extremality solutions to Hamilton-Jacobi equations, their regularity properties, and some generalizations
|
2003
|
Natalia K. Prykarpatska
Denis Blackmore
A. K. Prykarpatsky
Marzenna Pytel-Kudela
|
+
PDF
Chat
|
Higher Order Conditions for Weak Shocks: Modified Prandtl Relation
|
2002
|
Denis Blackmore
Lu Ting
|
+
PDF
Chat
|
None
|
2001
|
Anatoliy K. Prykarpatsky
Denis Blackmore
Ya. V. Mykytyuk
|
+
PDF
Chat
|
On the lax solution to the Hamilton-Jacobi equation. Part I
|
2000
|
Anatoliy K. Prykarpatsky
Denis Blackmore
|
+
|
Dynamics of a Two Species Oscillating Particle System
|
2000
|
Denis Blackmore
Roman Samulyak
Rajesh N. Davé
Anthony D. Rosato
|
+
|
Transition from Quasiperiodicity to Chaos for Three Coaxial Vortex Rings
|
2000
|
Denis Blackmore
Omar Knio
|
+
PDF
Chat
|
Versal Deformations of a Dirac Type Differential Operator
|
1999
|
Anatoliy K. Prykarpatsky
Denis Blackmore
|
+
PDF
Chat
|
New Mathematical Models for Particle Flow Dynamics
|
1999
|
Denis Blackmore
Roman Samulyak
Anthony D. Rosato
|
+
PDF
Chat
|
The Integrability of Lie-invariant Geometric Objects Generated by Ideals in the Grassmann Algebra
|
1998
|
Denis Blackmore
Y. A. Prykarpatsky
Roman Samulyak
|
+
|
Lax-type flows on Grassmann manifolds and dual momentum mappings
|
1997
|
Anatoliy K. Prykarpatsky
J. Zagrodziński
Denis Blackmore
|
+
PDF
Chat
|
The Finite-Dimensional Moser Type Reduction of Modified Boussinesq and Super-Korteweg-de Vries Hamiltonian Systems via the Gradient-Holonomic Algorithm and Dual Moment Maps. Part I
|
1997
|
Anatoliy K. Prykarpatsky
O. E. Hentosh
Denis Blackmore
|
+
|
Simple dynamical models for vortex breakdown of the B-type
|
1994
|
Denis Blackmore
|
+
|
Chaos in a simple identification/counter model
|
1988
|
Denis Blackmore
|
+
|
The mathematical theory of chaos
|
1986
|
Denis Blackmore
|
+
|
Surface integral of Its Mean Curvature Vector
|
1985
|
Denis Blackmore
Lu Ting
|
+
|
a Dynamical Systems Description of the Topology of Space-Time Singularities
|
1983
|
Denis Blackmore
|
+
|
The describing function for bounded nonlinearities
|
1981
|
Denis Blackmore
|
+
PDF
Chat
|
An example of a local flow on a manifold
|
1974
|
Denis Blackmore
|
+
|
An Example of a Local Flow on a Manifold
|
1974
|
Denis Blackmore
|
+
|
On the local normalization of a vector field at a degenerate critical point
|
1973
|
Denis Blackmore
|
+
|
Flows about a critical point with a single zero characteristic root
|
1973
|
Denis Blackmore
|