Talk:Encyclopedia of dynamical systems

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    Mathematical Theory

    Differential Equations

    • Wronskian
    • Sturm-Liouville Equation
    • Hartman-Grobman Theorem
    • Green Function
    • Characteristics
    • Separation of Variables
    • Inertial Manifolds
    • Variational Methods
    • Spectral Theory and Eigenvalue Problems for PDE
    • Implicit Differential Equations
    • Infinite Order Differential Equations
    • Differential Equations in Abstract Spaces
    • Differential Equations with Impulses
    • Differential Inequalities
    • Discontinuous Differential Equations

    Methods

    • Asymptotic Methods
    • Ill Posed Problem
    • Spectral Analysis

    Bifurcation Theory

    • AUTO
    • Catastrophe Theory
    • Hartman-Grobman Theorem
    • Melnikov Method
    • Pitchfork Bifurcation
    • Swallowtail Catastrophe
    • Transcritical Bifurcation

    Topological Dynamics

    • Expansiveness
    • Index Theory
    • Sofic System
    • Subshift Of Finite Type
    • Topological Exactness

    Ergodic Theory

    • Bernoulli Shift
    • Exactness
    • Lasota-Yorke Theorem
    • Markov Shift
    • Mixing (ergodic theory)

    Hyperbolic Dynamics

    • Expanding Maps
    • Hartman-Grobman Theorem

    Mappings (Maps)

    • Poincaré-Denjoy Theory
    • Difference Equations
    • Fatou Domains
    • Herman Rings
    • Interval Maps
    • Poincare Map
    • Twist Maps

    Nonlinear Phenomena

    Oscillators

    • Almost Periodic Function
    • Floquet Theory
    • Parametric Oscillator
    • Pendulum
    • Linear Oscillator
    • Weakly nonlinear oscillator

    Synchronization

    • Gait Control
    • Malkin Theorem
    • Mean-Field Synchronization
    • Slowly Coupled Oscillators

    Pattern Formation

    • Breathers
    • Dissipative Systems
    • Ginzburg-Landau Equation
    • Gradient System

    Chaos

    Random Dynamical Systems

    • Deterministic Walk in Random Environment
    • Disordered Systems
    • Fokker-Planck Equation
    • Markov Process
    • Metropolis Method
    • Monte-Carlo Method
    • Ornstein-Uhlenbeck Process
    • Percolation Theory
    • Random Walk
      • Brownian Motion
      • Avalanche
    • Stratanovich Calculus
    • Stochastic Process

    Control Theory

    • Adaptive Control
    • H-infinity Control
    • Hierarchical Control
    • Nonlinear Control
    • Observability and Controllability
    • Predictive Control
    • Robust Control
    • Stochastic Control Theory


    Applications

    Neuroscience

    Physiology and Medicine

    Morphogenesis

    Cardiac Dynamics

    Chemistry

    • Chemical Oscillators
    • Pharmakinetics

    Population Biology

    • Replicator Dynamics
    • Traffic Flow
    • Verhulst Equation

    Engineering

    • Controllability
    • Hysteresis
    • Josephson Junction
    • Lienard Oscillator
    • RC Circuit

    Fluid Dynamics

    Mechanics

    • Ballistics
    • Equation of Motion
    • Hénon-Heiles System
    • Lagrangian
    • Pendulum

    Optics

    Physics

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

    Computational Astrophysics

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