Encyclopedia of dynamical systems

From Scholarpedia

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Dr. Eugene M. Izhikevich, Editor-in-Chief of Scholarpedia, the peer-reviewed open-access encyclopedia

Among participants of this encyclopedia are D. Anosov (Anosov Diffeomorphism), L. Bunimovich (Dynamical Billiards), B. Chirikov (Chirikov standard map), N. Fenichel (Normal Hyperbolicity), R. FitzHugh (FitzHugh-Nagumo Model), J. Guckenheimer (5 articles on codim-2 local bifurcations), H. Haken (Self-Organization and Synergetics), M. Hirsch (Monotone Dynamics), P. Holmes (History of Dynamical Systems, Stability, with Shea-Brown), K. Ito (Ito Calculus), A. Katok (Ergodic Theory and Invariant Measure), Y. Kuramoto (Kuramoto Model), Yu.A. Kuznetsov (7 articles on local bifurcations), E.N. Lorenz (Butterfly Effect), B. Mandelbrot (Fractals and Mandelbrot Set), J. Milnor (Attractor), D. Ornstein (Ornstein Theorem), E. Ott (Attractor Dimension, Crises, Controlling Chaos, Basin of Attraction), M.M. Peixoto (Structural Stability), O. Rossler (Rossler Attractor), A.N. Sharkovsky (Sharkovsky Ordering), A. Shilnikov (Shilnikov Bifurcation), Y. Sinai (SRB Measure and Kolmogorov-Sinai Entropy), S. Smale (Smale Horseshoe), J. Yorke (Chaos, with T. Sauer), and many others.

Presently, only curators of Scholarpedia (who are invited by the Editor-in-Chief or other curators) or scholars with high Scholar Index can author and curate articles in Scholarpedia. If you want to reserve an article, contact mailto:Eugene.Izhikevich@nsi.edu.

There is an ongoing election of authors for such articles as Relaxation Oscillator, Resonance, and many others.

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History of Dynamical Systems

Mathematical Theory

Differential Equations

Methods

Numerical Analysis

Editor: Skip Thompson

Smooth Dynamics

Bifurcation Theory

Topological Dynamics

Ergodic Theory

Hyperbolic Dynamics

Mappings (Maps)

Editor: James D. Meiss

Nonlinear Phenomena

Oscillators

Synchronization

Pattern Formation

Chaos

Random Dynamical Systems

Control Theory


Applications

Neuroscience

Physiology and Medicine

Morphogenesis

Cardiac Dynamics

Editor: Vadim N. Biktashev

Chemistry

Population Dynamics

Engineering

Fluid Dynamics

Editor: Norman J. Zabusky

At present this category contains topics in fluid dynamics, nonlinear waves-and-solitons and magnetohydrodynamics. In the future as the number of topics grows, they will be distributed among more specific new categories .

Mechanics

Optics

Physics

  • Glassy Dynamics
  • Ising Model
  • Nonlinear Acoustics
  • Quantum Dynamics
  • Plasma
  • Statistical Mechanics
  • Schrodinger Equation
  • Semiconductor Oscillators
  • Sine-Gordon Equations
  • Superconductors

Computational Astrophysics

Editor: Søren Bertil F. Dorch

For authors