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
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Deterministic system (mathematics)
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Linear system
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Partial differential equation
In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives.
The function is often thought of as an "unknown" that solves the equation, similar to ho ...
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Dynamical systems and chaos theory
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Chaos theory
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Chaos argument
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Butterfly effect
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0-1 test for chaos
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Bifurcation diagram
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Feigenbaum constant
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Sharkovskii's theorem
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Attractor
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Strange nonchaotic attractor
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Stability theory
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Mechanical equilibrium
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Astable
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Monostable
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Bistability
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Metastability
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Feedback
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Negative feedback
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Positive feedback
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Homeostasis
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Damping ratio
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Dissipative system
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Spontaneous symmetry breaking
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Turbulence
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Perturbation theory
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Control theory
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Non-linear control
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Adaptive control
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Hierarchical control
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Intelligent control
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Optimal control
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Dynamic programming
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Robust control
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Stochastic control
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System dynamics,
system analysis
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Takens' theorem
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Exponential dichotomy
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Liénard's theorem
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Krylov–Bogolyubov theorem
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Krylov-Bogoliubov averaging method
Abstract dynamical systems
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Measure-preserving dynamical system
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Ergodic theory
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Mixing (mathematics)
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Almost periodic function
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Symbolic dynamics
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Time scale calculus
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Arithmetic dynamics
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Sequential dynamical system
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Graph dynamical system
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Topological dynamical system
Dynamical systems, examples
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List of chaotic maps
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Logistic map
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Lorenz attractor
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Lorenz-96
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Iterated function system
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Tetration
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Ackermann function
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Horseshoe map
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Hénon map
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Arnold's cat map
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Population dynamics
Complex dynamics
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Fatou set
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Julia set
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Mandelbrot set
Difference equations
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Recurrence relation
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Matrix difference equation
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Rational difference equation
Ordinary differential equation
In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable (mathematics), variable. As with any other DE, its unknown(s) consists of one (or more) Function (mathematic ...
s: general
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Examples of differential equations
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Autonomous system (mathematics)
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Picard–Lindelöf theorem
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Peano existence theorem
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Carathéodory existence theorem
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Numerical ordinary differential equations
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Bendixson–Dulac theorem
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Gradient conjecture
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Recurrence plot
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Limit cycle
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Initial value problem
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Clairaut's equation
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Singular solution
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Poincaré–Bendixson theorem
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Riccati equations
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Functional differential equation
Linear differential equations
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Exponential growth
Exponential growth occurs when a quantity grows as an exponential function of time. The quantity grows at a rate directly proportional to its present size. For example, when it is 3 times as big as it is now, it will be growing 3 times as fast ...
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Malthusian catastrophe
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Exponential response formula
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Simple harmonic motion
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Phasor (physics)
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RLC circuit
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Resonance
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Impedance
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Reactance
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Musical tuning
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Orbital resonance
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Tidal resonance
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Oscillator
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Harmonic oscillator
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Electronic oscillator
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Floquet theory
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Fundamental frequency
The fundamental frequency, often referred to simply as the ''fundamental'' (abbreviated as 0 or 1 ), is defined as the lowest frequency of a Periodic signal, periodic waveform. In music, the fundamental is the musical pitch (music), pitch of a n ...
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Oscillation (Vibration)
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Fundamental matrix (linear differential equation)
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Laplace transform applied to differential equations
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Sturm–Liouville theory
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Wronskian
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Loewy decomposition
Mechanics
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Pendulum
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Inverted pendulum
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Double pendulum
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Foucault pendulum
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Spherical pendulum
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Kinematics
In physics, kinematics studies the geometrical aspects of motion of physical objects independent of forces that set them in motion. Constrained motion such as linked machine parts are also described as kinematics.
Kinematics is concerned with s ...
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Equation of motion
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Dynamics (mechanics)
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Classical mechanics
Classical mechanics is a Theoretical physics, physical theory describing the motion of objects such as projectiles, parts of Machine (mechanical), machinery, spacecraft, planets, stars, and galaxies. The development of classical mechanics inv ...
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Isolated physical system
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Lagrangian mechanics
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Hamiltonian mechanics
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Routhian mechanics
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Hamilton-Jacobi theory
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Appell's equation of motion
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Udwadia–Kalaba equation
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Celestial mechanics
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Orbit
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Lagrange point
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Kolmogorov-Arnold-Moser theorem
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N-body problem,
many-body problem
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Ballistics
Functions defined via an ODE
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Airy function
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Bessel function
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Legendre polynomials
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Hypergeometric function
Rotating systems
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Angular velocity
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Angular momentum
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Angular acceleration
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Angular displacement
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Rotational invariance
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Rotational inertia
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Torque
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Rotational energy
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Centripetal force
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Centrifugal force
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Centrifugal governor
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Coriolis force
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Axis of rotation
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Flywheel
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Flywheel energy storage
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Momentum wheel
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Spinning top
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Gyroscope
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Gyrocompass
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Precession
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Nutation
Swarms
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Particle swarm optimization
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Self-propelled particles
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Swarm intelligence
Stochastic dynamic equations
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Random walk
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Autoregressive process
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Unit root
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Moving average process
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Autoregressive–moving-average model
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Autoregressive integrated moving average
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Vector autoregressive model
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Stochastic differential equation
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Stochastic partial differential equation
{{DEFAULTSORT:Dynamical systems and differential equation topics
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