D. S. Broomhead

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All published works
Action Title Year Authors
+ PDF Chat Finite-dimensional behaviour and observability in a randomly forced PDE 2012 D. S. Broomhead
J. P. Huke
James Montaldi
Mark Muldoon
+ Desynchronizing Networks Using Phase Resetting 2012 Jon Borresen
D.S. Broomhead
+ PDF Chat Mutual information and capacity of a linear digital channel 2004 D.S. Broomhead
Nikita Sidorov
+ PDF Chat Iterated function system models of digital channels 2004 D.S. Broomhead
J. P. Huke
Mark Muldoon
J. Stark
+ Delay Embeddings for Forced Systems. II. Stochastic Forcing 2003 J. Stark
D.S. Broomhead
Mike E. Davies
J. P. Huke
+ PDF Chat Nonlinear Thoughts about Linear Signal Processing 2002 D. S. Broomhead
J. P. Huke
Mark Muldoon
A. G. A. Brown
+ Prediction of the hourly ionospheric parameter ƒ<sub>0</sub><i>F</i><sub>2</sub> using a novel nonlinear interpolation technique to cope with missing data points 2001 Noah M. Francis
A. G. A. Brown
Paul S. Cannon
D.S. Broomhead
+ PDF Chat Nonlinear prediction of the ionospheric parameter ƒ<sub><i>o</i></sub><i>F</i><sub>2</sub> on hourly, daily, and monthly timescales 2000 N. M. Francis
Paul S. Cannon
A. G. A. Brown
D. S. Broomhead
+ A New Approach to Dimensionality Reduction: Theory and Algorithms 2000 D. S. Broomhead
Michael Kirby
+ Thermodynamic Limit from Small Lattices of Coupled Maps 1999 R. Carretero-GonzĂĄlez
S. Ørstavik
J. P. Huke
D.S. Broomhead
J. Stark
+ Scaling and interleaving of subsystem Lyapunov exponents for spatio-temporal systems 1999 R. Carretero-GonzĂĄlez
S. O rstavik
J. P. Huke
D.S. Broomhead
J. Stark
+ Takens embedding theorems for forced and stochastic systems 1997 J. Stark
D.S. Broomhead
Mike E. Davies
J. P. Huke
+ The dynamics of numerics and the numerics of dynamics 1992 D.S. Broomhead
Arieh Iserles
+ Local adaptive Galerkin bases for large-dimensional dynamical systems 1991 D.S. Broomhead
R. Indik
Alan C. Newell
D.A.J. Rand
+ On the use of perturbation theory in the calculation of the fractal dimension of strange attractors 1984 D.S. Broomhead
G. Rowlands
+ On the analytic derivation of PoincarĂ© maps — The forced Brusselator problem 1981 D.S. Broomhead
Geoffrey Alexander McCreadie
G. Rowlands
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Detecting strange attractors in turbulence 1981 Floris Takens
3
+ PDF Chat Iterated random functions 2017 Persi Diaconis
David A. Freedman
3
+ Generic Observability of Differentiable Systems 1981 Dirk Aeyels
3
+ Delay Embeddings for Forced Systems. II. Stochastic Forcing 2003 J. Stark
D.S. Broomhead
Mike E. Davies
J. P. Huke
3
+ PDF Chat Fractal Geometry: Mathematical Foundations and Applications. 1990 K. J. Falconer
3
+ Random dynamical systems 2020 Ludwig Arnold
2
+ Embedology 1991 Timothy Sauer
James A. Yorke
Martin Casdagli
2
+ Takens embedding theorems for forced and stochastic systems 1997 J. Stark
D.S. Broomhead
Mike E. Davies
J. P. Huke
2
+ PDF Chat Iterated Random Functions 1999 Persi Diaconis
David A. Freedman
2
+ Ergodic theory of chaos and strange attractors 1985 Jean-Pierre Eckmann
David Ruelle
2
+ Period-Doubling of Kink-Antikink Patterns, Quasiperiodicity in Antiferro-Like Structures and Spatial Intermittency in Coupled Logistic Lattice: Towards a Prelude of a "Field Theory of Chaos" 1984 Kunihiko Kaneko
2
+ PDF Chat Iterated function system models of digital channels 2004 D.S. Broomhead
J. P. Huke
Mark Muldoon
J. Stark
2
+ Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces 1999 Brian R. Hunt
Vadim Yu. Kaloshin
1
+ Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations 1990 Michael S. Jolly
I.G. Kevrekidis
Edriss S. Titi
1
+ A REMARK CONCERNING THE THERMODYNAMICAL LIMIT OF THE LYAPUNOV SPECTRUM 1996 Ya. G. SinaÄ­
1
+ PDF Chat Unique Representations of Real Numbers in Non-Integer Bases 2001 Paul Glendinning
Nikita Sidorov
1
+ PDF Chat Nonlinear prediction of the ionospheric parameter ƒ<sub><i>o</i></sub><i>F</i><sub>2</sub> on hourly, daily, and monthly timescales 2000 N. M. Francis
Paul S. Cannon
A. G. A. Brown
D. S. Broomhead
1
+ PDF Chat For Differential Equations with r Parameters, 2r+1 Experiments Are Enough for Identification 2002 Sontag
1
+ Conditional mean field for chaotic coupled map lattices 1997 AnaĂ«l Lemaı̂tre
Hugues Chaté
Paul Manneville
1
+ PDF Chat Pattern dynamics of a coupled map lattice for open flow 1995 Frederick H. Willeboordse
Kunihiko Kaneko
1
+ Structure of chaos in the laser with saturable absorber 1992 F. Papoff
A. Fioretti
E. Arimondo
Gabriel B. Mindlin
HernĂĄn G. Solari
Robert Gilmore
1
+ Information content and predictability of lumped and distributed dynamical systems 1989 Peter Grassberger
1
+ On the analytic form of some strange attractors 1977 Richard Bridges
G. Rowlands
1
+ Spatio-Temporal Chaos and Localization 1991 Giovanni Giacomelli
Antonio Politi
1
+ PDF Chat Analysis and characterization of complex spatio-temporal patterns in nonlinear reaction-diffusion systems 1996 Nita Parekh
V. Ravi Kumar
B. D. Kulkarni
1
+ An Algorithm for Finding Intrinsic Dimensionality of Data 1971 Keinosuke Fukunaga
D.R. Olsen
1
+ A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan 1944 R. Salem
1
+ PDF Chat The Lyapunov dimension of a nowhere differentiable attracting torus 1984 James L. Kaplan
John Mallet‐Paret
James A. Yorke
1
+ PDF Chat Global bifurcations in Rayleigh-BĂ©nard convection. Experiments, empirical maps and numerical bifurcation analysis 1994 I.G. Kevrekidis
Ramiro Rico-Martı́nez
Robert E. Ecke
Robert M. Farber
Alan S. Lapedes
1
+ Five turbulent problems 1983 David Ruelle
1
+ On the uniqueness of the expansions 333-01333-01333-01 1991 P. ErdƑs
MiklĂłs HorvĂĄth
I. JoĂł
1
+ Dimension of Strange Attractors 1980 D. A. Russell
J.D. Hanson
Edward Ott
1
+ Characteristic Exponents and Invariant Manifolds in Hilbert Space 1982 David Ruelle
1
+ Mode-locking in coupled map lattices 1997 R. Carretero-GonzĂĄlez
D. K. Arrowsmith
Franco Vivaldi
1
+ The Symmetric Eigenvalue Problem 1998 Beresford Ν. Parlett
1
+ PDF Chat Dynamics of complex interfaces 1994 Raymond Kapral
Roberto Livi
Gian‐Luca Oppo
Antonio Politi
1
+ Negatively invariant sets of compact maps and an extension of a theorem of Cartwright 1976 John Mallet‐Paret
1
+ PDF Chat Ergodic theory of differentiable dynamical systems 1979 David Ruelle
1
+ Calculus on Vector Bundles 1975 M. J. Foster
1
+ On theÎČ-expansions of real numbers 1960 William Parry
1
+ <i>The Fractal Geometry of Nature</i> 1983 BenoĂźt B. Mandelbrot
John Wheeler
1
+ Local adaptive Galerkin bases for large-dimensional dynamical systems 1991 D.S. Broomhead
R. Indik
Alan C. Newell
D.A.J. Rand
1
+ PDF Chat Transition from Torus to Chaos Accompanied by Frequency Lockings with Symmetry Breaking: In Connection with the Coupled-Logistic Map 1983 Kunihiko Kaneko
1
+ A mandelbrot set for pairs of linear maps 1985 Michael F. Barnsley
A. N. Harrington
1
+ PDF Chat Transversality in manifolds of mappings 1963 Ralph Abraham
1
+ ERROR GROWTH DYNAMICS IN SPATIALLY EXTENDED SYSTEMS 1996 Stéphane Vannitsem
C. Nicolis
1
+ Almost Every Number Has a Continuum of b-Expansions 2003 Nikita Sidorov
1
+ PDF Chat Inertial manifolds for nonlinear evolutionary equations 1988 Ciprian FoiaƟ
George R. Sell
Roger TĂ©mam
1
+ The Hausdorff dimension of self-affine fractals 1988 K. J. Falconer
1
+ Stable Manifolds for Differential Equations and Diffeomorphisms 2011 Stephen T. Smale
1