The List of dynamical system and differential equation topics reference article from the English Wikipedia on 24-Jul-2004 (provided by Fixed Reference: snapshots of Wikipedia from wikipedia.org)

List of dynamical system and differential equation 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.

Table of contents

1 Dynamical systems, in general 2 Abstract dynamical systems 3 Dynamical systems, examples 4 Complex dynamics 5 Ordinary differential equations: general 6 Linear differential equations 7 Mechanics 8 Functions defined via an ODE 9 Rotating systems

Dynamical systems, in general

• Deterministic system
• Linear system
• Dynamical systems and chaos theory
• Chaos theory
  • Chaos argument
• Bifurcation diagram
• Feigenbaum constant
• Sarkovskii's theorem
• Attractor
• Stability
  • Equilibrium
    • Mechanical equilibrium
  • Astable
  • Monostable
  • Bistable
  • Metastability
• Feedback
  • Negative feedback
  • Positive feedback
  • Homeostasis
• Damping
• Dissipative system
• Spontaneous symmetry breaking
• Turbulence
• Perturbation theory
• Control theory
  • Non-linear control
• System dynamics, system analysis

Abstract dynamical systems

• Measure-preserving dynamical system
• Ergodic theory
• Mixing (mathematics)
• Almost periodic function

Dynamical systems, examples

• Logistic map
• Lorenz attractor
• Iterated function system
• Horseshoe map
• Hénon map
• Population dynamics

Complex dynamics

• Fatou set
• Julia set
• Mandelbrot set

Ordinary differential equations: general

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

Linear differential equations

• Exponential growth
  • Malthusian catastrophe
• Simple harmonic motion
  • Phasor
  • RLC circuit
  • Resonance
    • Impedance
    • Reactance
    • Musical tuning
    • Orbital resonance
    • Tidal resonance
• Oscillator
  • Harmonic oscillator
  • Electronic oscillator
  • Fundamental frequency
  • Vibration
• Laplace transform applied to differential equations
• Sturm-Liouville theory
• Wronskian
• Riccati equations

Mechanics

• Pendulum
  • Inverted pendulum
  • Double pendulum
  • Foucault pendulum
  • Spherical pendulum
• Kinematics
• Equation of motion
• Dynamics (mechanics)
• Classical mechanics
• Isolated physical system
  • Lagrangian mechanics
    • Lagrangian
  • Hamiltonian mechanics
  • 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
• 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

See also: differential equations from outside physics, differential equations of mathematical physics.

This is the "List of dynamical system and differential equation topics" reference article from the English Wikipedia. All text is available under the terms of the GNU Free Documentation License. See also our Disclaimer.