Talk:Encyclopedia of dynamical systems

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List of proposed/missed articles:



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Mathematical Theory

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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
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Methods

  • Asymptotic Methods
  • Ill Posed Problem
  • Spectral Analysis
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Bifurcation Theory

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

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

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

  • Expanding Maps
  • Hartman-Grobman Theorem
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Mappings (Maps)

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

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Oscillators

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

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

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

  • Intermittency
  • Iterated Functions System
  • Lyapunov Exponent
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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
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Control Theory

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


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Applications

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Neuroscience


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Physiology and Medicine

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Morphogenesis


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Cardiac Dynamics

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Chemistry

  • Chemical Oscillators
  • Pharmakinetics
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Population Biology

  • Replicator Dynamics
  • Traffic Flow
  • Verhulst Equation
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Engineering

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

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Mechanics

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

  • Lang-Koboyashi Model
  • Nonlinear Optics
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Physics

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


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