Category:Dynamical systems
English: Dynamical systems deals with the study of the solutions to the equations of motion of systems that are primarily mechanical in nature; although this includes both planetary orbits as well as the behaviour of electronic circuits and the solutions to partial differential equations that arise in biology. Much of modern research is focused on the study of chaotic systems.
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Pages in category "Category:Dynamical systems"
- Dynamical system
- Category:Animations of dynamical systems
- Category:Videos of dynamical systems
- Category:Attractors
- Category:Bifurcation theory
- Category:Brusselator
- Category:Bunimovich stadiums
- Category:Cellular automata
- Category:Chaos theory
- Category:Chaotic maps
- Category:Complex dynamics
- Category:Control engineering
- Category:Critical phenomena
- Category:Differential equations
- Category:Hamiltonian mechanics
- Category:Integrable systems
- Category:Lagrangian Coherent Structures
- Category:Lagrangian mechanics
- Category:Limit cycles
- Category:Linearization
- Category:Oscillation
- Category:Pentagram maps
- Category:Periodicity
- Category:Phase space diagrams
- Category:Poincare map
- Category:Self-organization
- Category:Simple harmonic motion
- Category:Stability theory
- Category:Trajectories
- File:080205 Brusselator picture.jpg
- File:2397.png
- File:3000.png
- File:3869.png
- File:A schematic illustration of the geometrical representation of a dynamical system.svg
- File:Adaptive-cycle.png
- File:Algol triple star system imaged with the CHARA interferometer.jpg
- File:Analyse grenzschwingungen im zweiortskurvenverfahren.png
- File:Arnold tongues.png
- File:AsymptoticStabilityImpulseScilab.png
- File:B&S-1-tipped.jpg
- File:Ba model 1000nodes.png
- File:BasicLMIregions.pdf
- File:Before after dynamical systems definition.jpg
- File:Belousov-Zhabotinsky Reaction Simulation Snapshot.jpg
- File:Bernoulli-shift.svg
- File:Bifurcation diagram of saddle node bifurcation.png
- File:Bode amplitude.jpg
- File:Bode fase.jpg
- File:Bowen example (heteroclinic attractor).png
- File:Bowen example (heteroclinic attractor).svg
- File:Canard cycles on the two-torus (slides, I. Schurov).pdf
- File:Cauliflower.png
- File:Chaotic regime.png
- File:CircleMapOrbitDiag.png
- File:Coexisting Attractors.png
- File:Compensazione.png
- File:Consumer Resource Models Resource Dynamics Schematics.png
- File:Contours in the vector field f(z) = -Cos(z).jpg
- File:Counterexamplestability2.svg
- File:CriticalHyperplane.png
- File:Definition of 1-form integral.svg
- File:Denjoy-example.svg
- File:Diagram of SIR epidemic model states and transition rates.svg
- File:Different attractors in same system.png
- File:Distance between repetitive squaring of point smaller then one.svg
- File:DistanceToFixed.png
- File:DistanceToFixed.svg
- File:Double well langevin.pdf
- File:Double-pendulum.png
- File:Douday rabbit rough dynamics.png
- File:Dynamic system.png
- File:Envelope astroid.svg
- File:Envelope cast.svg
- File:Envelope string art.svg
- File:Es6p3.png
- File:Example of application of Poincaré–Bendixson theorem.png
- File:Explanation-of-the-nature.png
- File:Explanatory diagram of periodic point.svg
- File:Exponential Stability Estimate of Symplectic Integrators for Integrable Hamiltonian Systems.pdf
- File:Figura-4.png
- File:Fitzhugh-nagumo b = 2.0, I ext = 5.37, with stable and unstable manifolds marked.png
- File:Fitzhugh-nagumo b = 2.0, separatrix.png
- File:Fitzhugh-nagumo b = 2.0, with stable and unstable manifolds marked.png
- File:Flow and orbit of vector field (dynamical system).png
- File:Folded-towel map attractor.png
- File:Fubini Nightmare foliation Katok example.svg
- File:Function-block-harmonic-balance.png
- File:Funções de fase.png
- File:GR inv set iter.png
- File:Grafico exemplo linear.png
- File:Hands HKB in phase fingers.png
- File:Hartman-grobman fig1.PNG
- File:Hartman-grobman fig2.PNG
- File:Henon3D.pdf
- File:Henonatrat-eps-converted-to.pdf
- File:Homoclinic and Heteroclinic Connections updated 2020-01-29.svg
- File:Human interactome.jpg
- File:Hyperbolic flow example, illustrating stable and unstable manifolds.png
- File:Illustration of the Propagation of an Ensemble by a Flow.png
- File:Intermittency in logistic map, cobweb diagram.png
- File:Intermittency in logistic map.png
- File:Irrational Rotation on a 2 Torus.png
- File:Kakutani non.svg
- File:Kalman.png
- File:KapizaPendulumCoordinateSpace.jpg
- File:KapizaPendulumCoordinateSpaceLargeAmplitude.jpg
- File:KapizaPendulumEnergy.jpg
- File:KapizaPendulumEnergyMathPendulum.jpg
- File:KapizaPendulumUpPosition.jpg
- File:Kerr trajectory rphi.png
- File:Kerr trajectory with two projections.jpg
- File:Kerr trajectory.png
- File:Kerr-Trajectory1.jpg
- File:LaSalle principle example.png
- File:LCS conceptual.pdf
- File:LCS conceptual2.pdf
- File:LinDynSysTraceDet.jpg
- File:LinearFields.png
- File:Logistic growth equation.png
- File:Logistic iterates 3.4.svg
- File:Logistic map approaching the scaling limit.webm
- File:Logistic map iterates, r=3.0.svg
- File:Logistic map with lyapunov exponent function.png
- File:Lorenz map for the Rossler attractor.png
- File:Lyapunov exponents for different dynamical systems, dependence on parameter.png
- File:LyapunovDiagram.svg
- File:MacroscaleModel-ExponentialGrowth-5769372.png
- File:Markov Partition for Smale Horseshoe.svg
- File:Material surface.jpg
- File:Mobius.png
- File:Multiplier4 f.png
- File:Multiscroll attractors of dynamical systems.png
- File:Nearshore FTLE of tidal interface.png
- File:Newton basin1.png
- File:Newton basin2.png
- File:Newton basin3.png
- File:Noniterative Correlation-based Tuning Scheme.svg
- File:Number smaller then one after repetitive squaring.svg
- File:Numerator and denominator of the fraction dx-dt.svg
- File:One-neuron recurrent network bifurcation diagram.png
- File:Orbit of spiral source on two dimensional linear continuous dynamical system.png
- File:Orbit of spiral source on two dimensional linear discrete dynamical system.png
- File:Orbit-1-15.svg
- File:Orbit-1-31.svg
- File:Orbit-1-7.svg
- File:Orbit-11-63.svg
- File:Orbit-74-511.svg
- File:Orbital instability (Lyapunov exponent).png
- File:Pendulum02.JPG
- File:Period Ratio of Ideal Pendulum.svg
- File:Periodi orbit.png
- File:Phase plane diff IC.png
- File:Phase plane nodes.svg
- File:Poincare-Hopf.svg
- File:Poincaré Map of Logistic Map.svg
- File:Repelling LCS.jpeg
- File:Ricker bifurcation.png
- File:Rulkov Time Series.jpg
- File:Saddle separatrix loop polycycle.svg
- File:Saddle-node phase portrait with central manifold.svg
- File:SAM 1666.png
- File:SAM 1999.png
- File:SAM 2229.png
- File:SAM 2502.png
- File:SAM 2513.png
- File:SAM 4179.png
- File:SAM 4500.png
- File:SAM 4748.png
- File:SAM 5000.png
- File:SAM 7702.png
- File:SDS01.png
- File:SDS02.png
- File:SDS03.png
- File:SDS04.png
- File:SDS05.png
- File:SDS06.png
- File:SDSphase1.png
- File:SDSphase2.png
- File:Second order system.jpg
- File:Simple jump in slow-fast systems.svg
- File:Simple switching in R2.jpg
- File:Simple-linear-mech.png
- File:SimplePendulum01.JPG
- File:SimplePendulum01.svg
- File:Simulation of variable x(n) in Rulkov map.svg
- File:Sistema LTI.png
- File:Sistema LTI2.png
- File:Sistemainvariante.jpg
- File:Sistemalineal.jpg
- File:Slope field and its integral curve.svg
- File:Smale-Williams Solenoid Large.png
- File:Smale-Williams Solenoid.png
- File:Solution graph of differential equation.svg
- File:Stability Diagram.png
- File:StabilityHS.svg
- File:State space model delay.PNG
- File:State space model integral.PNG
- File:Stdmap k g with line.png
- File:Stdmap k g.png
- File:Stdmap k06.png
- File:Stdmap k09.png
- File:Stdmap k10.png
- File:Stdmap k11.png
- File:Stdmap k20.png
- File:Step Plot in Julia.png
- File:Superposition 2.png
- File:LTC systeem freq respons.jpg
- File:System identification methods.png
- File:The phase space of a pair of crews.svg
- File:The problem of cars and carts.svg
- File:Thomas' cyclically symmetric attractor (axial view).png
- File:Thomas' cyclically symmetric attractor.png
- File:Topologically conjugate commutative diagram.svg
- File:Trichotomy of Poincaré-Bendixon theorem.svg
- File:UnstabilityHS.svg
- File:Vector field and slope field for the equation x' = v(x).svg
- File:Vertical-2.jpg
- File:Virtual Reference Feedback Tuning Scheme.svg
- File:Wkgt unstable state.png
- File:Zeit verschiebung.png
- File:正弦関数による力学系のグラフ.png
Category:Dynamics
Category:Mathematical analysis
Category:Mathematical and quantitative methods (economics)
Category:Mathematical physics
Category:Mathematics by topic
Category:Mechanics
Category:Physical systems
Category:Subdivisions of mathematics
Category:Systems
Category:Systems theory
Category:Uses of Wikidata Infobox