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
[edit]- Deterministic system (mathematics)
- Linear system
- Partial differential equation
- Dynamical systems and chaos theory
- Chaos theory
- Bifurcation diagram
- Feigenbaum constant
- Sharkovskii's theorem
- Attractor
- Stability theory
- Feedback
- Damping ratio
- Dissipative system
- Spontaneous symmetry breaking
- Turbulence
- Perturbation theory
- Control theory
- System dynamics, system analysis
- Takens' theorem
- Exponential dichotomy
- Liénard's theorem
- Krylov–Bogolyubov theorem
- Krylov-Bogoliubov averaging method
Abstract dynamical systems
[edit]- 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
[edit]- 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
Difference equations
[edit]Ordinary differential equations: general
[edit]- 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
- Exponential growth
- Exponential response formula
- Simple harmonic motion
- Oscillator
- Fundamental matrix (linear differential equation)
- Laplace transform applied to differential equations
- Sturm–Liouville theory
- Wronskian
- Loewy decomposition
Mechanics
[edit]- Pendulum
- Kinematics
- Equation of motion
- Dynamics (mechanics)
- Classical mechanics
- Isolated physical system
- Lagrange point
- Ballistics
Functions defined via an ODE
[edit]Rotating systems
[edit]- Angular velocity
- Angular momentum
- Angular acceleration
- Angular displacement
- Rotational invariance
- Rotational inertia
- Torque
- Rotational energy
- Centripetal force
- Centrifugal force
- Coriolis force
- Axis of rotation
- Flywheel
- Spinning top
- Gyroscope
- Gyrocompass
- Precession
- Nutation