List of dynamical systems and differential equations topics

This is a list of dynamical system and differential equation topics, by Wikipedia page. See also list of partial differential equation topics, list of equations.

Dynamical systems, in general

Abstract dynamical systems

Dynamical systems, examples

  • List of chaotic maps
  • Logistic map
  • Lorenz attractor
  • Lorenz-96
  • Iterated function system
  • Tetration
  • Ackermann function
  • Horseshoe map
  • Hénon map
  • Arnold's cat map
  • Population dynamics

Complex dynamics

  • Fatou set
  • Julia set
  • Mandelbrot set

Difference equations

  • Recurrence relation
  • Matrix difference equation
  • Rational difference equation

Ordinary differential equations: general

  • Examples of differential equations
  • Autonomous system (mathematics)
  • Picard–Lindelöf theorem
  • Peano existence theorem
  • Carathéodory existence theorem
  • Numerical ordinary differential equations
  • Bendixson–Dulac theorem
  • Gradient conjecture
  • Recurrence plot
  • Limit cycle
  • Initial value problem
  • Clairaut's equation
  • Singular solution
  • Poincaré–Bendixson theorem
  • Riccati equations
  • Functional differential equation

Linear differential equations

Mechanics

Functions defined via an ODE

Rotating systems

Swarms

  • Particle swarm optimization
  • Self-propelled particles
  • Swarm intelligence

Stochastic dynamic equations

  • Random walk
  • Autoregressive process
  • Unit root
  • Moving average process
  • Autoregressive–moving-average model
  • Autoregressive integrated moving average
  • Vector autoregressive model
  • Stochastic differential equation
  • Stochastic partial differential equation
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