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

 * Deterministic system (mathematics)
 * Linear system
 * Partial differential equation
 * Dynamical systems and chaos theory
 * Chaos theory
 * Chaos argument
 * Butterfly effect
 * 0-1 test for chaos
 * Bifurcation diagram
 * Feigenbaum constant
 * Sharkovskii's theorem
 * Attractor
 * Strange nonchaotic attractor
 * Stability theory
 * Mechanical equilibrium
 * Astable
 * Monostable
 * Bistability
 * Metastability
 * Feedback
 * Negative feedback
 * Positive feedback
 * Homeostasis
 * Damping ratio
 * Dissipative system
 * Spontaneous symmetry breaking
 * Turbulence
 * Perturbation theory
 * Control theory
 * Non-linear control
 * Adaptive control
 * Hierarchical control
 * Intelligent control
 * Optimal control
 * Dynamic programming
 * Robust control
 * Stochastic control
 * System dynamics, system analysis
 * Takens' theorem
 * Exponential dichotomy
 * Liénard's theorem
 * Krylov–Bogolyubov theorem
 * Krylov-Bogoliubov averaging method

Abstract dynamical systems

 * Measure-preserving dynamical system
 * Ergodic theory
 * Mixing (mathematics)
 * Almost periodic function
 * Symbolic dynamics
 * Time scale calculus
 * Arithmetic dynamics
 * Sequential dynamical system
 * Graph dynamical system
 * Topological dynamical system

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

 * Exponential growth
 * Malthusian catastrophe
 * Exponential response formula
 * Simple harmonic motion
 * Phasor (physics)
 * RLC circuit
 * Resonance
 * Impedance
 * Reactance
 * Musical tuning
 * Orbital resonance
 * Tidal resonance
 * Oscillator
 * Harmonic oscillator
 * Electronic oscillator
 * Floquet theory
 * Fundamental frequency
 * Oscillation (Vibration)
 * Fundamental matrix (linear differential equation)
 * Laplace transform applied to differential equations
 * Sturm–Liouville theory
 * Wronskian
 * Loewy decomposition

Mechanics

 * Pendulum
 * Inverted pendulum
 * Double pendulum
 * Foucault pendulum
 * Spherical pendulum
 * Kinematics
 * Equation of motion
 * Dynamics (mechanics)
 * Classical mechanics
 * Isolated physical system
 * Lagrangian mechanics
 * Hamiltonian mechanics
 * Routhian mechanics
 * Hamilton-Jacobi theory
 * Appell's equation of motion
 * Udwadia–Kalaba equation
 * Celestial mechanics
 * Orbit
 * Lagrange point
 * Kolmogorov-Arnold-Moser theorem
 * N-body problem, many-body problem
 * Ballistics

Functions defined via an ODE

 * Airy function
 * Bessel function
 * Legendre polynomials
 * Hypergeometric function

Rotating systems

 * Angular velocity
 * Angular momentum
 * Angular acceleration
 * Angular displacement
 * Rotational invariance
 * Rotational inertia
 * Torque
 * Rotational energy
 * Centripetal force
 * Centrifugal force
 * Centrifugal governor
 * Coriolis force
 * Axis of rotation
 * Flywheel
 * Flywheel energy storage
 * Momentum wheel
 * Spinning top
 * Gyroscope
 * Gyrocompass
 * Precession
 * Nutation

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