Category:Dynamical systems
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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.
mathematical model which describes the time dependence of a point in a geometrical space  | |||||
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Subcategories
This category has the following 27 subcategories, out of 27 total.
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A
B
- Brusselator (9 F)
- Bunimovich stadiums (4 F)
C
D
H
I
L
O
P
- Pentagram maps (18 F)
- Poincare map (11 F)
S
- Simple harmonic motion (35 F)
T
Pages in category "Dynamical systems"
This category contains only the following page.
Media in category "Dynamical systems"
The following 197 files are in this category, out of 197 total.
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080205 Brusselator picture.jpg 629 × 380; 25 KB
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2397.png 1,386 × 1,000; 38 KB
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3000.png 1,386 × 1,000; 73 KB
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3869.png 1,386 × 1,000; 39 KB
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Adaptive-cycle.png 1,620 × 1,095; 312 KB
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Analyse grenzschwingungen im zweiortskurvenverfahren.png 867 × 443; 32 KB
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Arnold tongues.png 1,500 × 378; 21 KB
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AsymptoticStabilityImpulseScilab.png 530 × 270; 4 KB
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B&S-1-tipped.jpg 789 × 731; 34 KB
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Ba model 1000nodes.png 871 × 850; 650 KB
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BasicLMIregions.pdf 1,041 × 610; 32 KB
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Before after dynamical systems definition.jpg 601 × 527; 86 KB
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Belousov-Zhabotinsky Reaction Simulation Snapshot.jpg 300 × 300; 35 KB
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Bernoulli-shift.svg 485 × 245; 98 KB
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Bifurcation diagram of saddle node bifurcation.png 1,625 × 605; 59 KB
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Bode amplitude.jpg 492 × 243; 24 KB
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Bode fase.jpg 498 × 214; 27 KB
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Bowen example (heteroclinic attractor).png 599 × 335; 28 KB
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Bowen example (heteroclinic attractor).svg 151 × 84; 7 KB
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Canard cycles on the two-torus (slides, I. Schurov).pdf 754 × 566, 38 pages; 659 KB
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Cauliflower.png 640 × 640; 5 KB
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Chaotic regime.png 432 × 288; 40 KB
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CircleMapOrbitDiag.png 9,600 × 5,400; 5.57 MB
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Coexisting Attractors.png 3,000 × 1,600; 957 KB
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Compensazione.png 772 × 543; 13 KB
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Consumer Resource Models Resource Dynamics Schematics.png 1,736 × 1,372; 424 KB
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Contours in the vector field f(z) = -Cos(z).jpg 500 × 231; 173 KB
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Counterexamplestability2.svg 356 × 348; 4 KB
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CriticalHyperplane.png 445 × 282; 3 KB
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Definition of 1-form integral.svg 76 × 79; 15 KB
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Denjoy-example.svg 482 × 473; 91 KB
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Diagram of SIR epidemic model states and transition rates.svg 533 × 55; 19 KB
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Different attractors in same system.png 800 × 565; 25 KB
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Distance between repetitive squaring of point smaller then one.svg 1,000 × 1,000; 14 KB
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DistanceToFixed.png 1,000 × 500; 21 KB
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DistanceToFixed.svg 1,000 × 500; 202 KB
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Double well langevin.pdf 1,200 × 900; 6 KB
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Double-pendulum.png 480 × 547; 47 KB
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Douday rabbit rough dynamics.png 800 × 600; 14 KB
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Dynamic system.png 248 × 116; 748 bytes
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Envelope astroid.svg 600 × 480; 264 KB
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Envelope cast.svg 600 × 480; 117 KB
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Envelope string art.svg 600 × 480; 88 KB
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Es6p3.png 296 × 385; 5 KB
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Example of application of Poincaré–Bendixson theorem.png 415 × 580; 64 KB
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Explanation-of-the-nature.png 427 × 563; 22 KB
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Explanatory diagram of periodic point.svg 524 × 372; 35 KB
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Exponential Stability Estimate of Symplectic Integrators for Integrable Hamiltonian Systems.pdf 1,239 × 1,754, 32 pages; 263 KB
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Figura-4.png 2,000 × 2,026; 332 KB
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Fitzhugh-nagumo b = 2.0, I ext = 5.37, with stable and unstable manifolds marked.png 1,314 × 1,321; 505 KB
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Fitzhugh-nagumo b = 2.0, separatrix.png 1,260 × 1,297; 958 KB
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Fitzhugh-nagumo b = 2.0, with stable and unstable manifolds marked.png 1,314 × 1,321; 505 KB
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Flow and orbit of vector field (dynamical system).png 590 × 276; 32 KB
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Folded-towel map attractor.png 2,345 × 2,330; 3.42 MB
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Four Limit Cycles in Two-Dimensional Polynomial Quadratic System.gif 800 × 564; 151 KB
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Fubini Nightmare foliation Katok example.svg 720 × 720; 1.62 MB
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Function-block-harmonic-balance.png 1,242 × 300; 7 KB
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Funções de fase.png 317 × 208; 5 KB
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GR inv set iter.png 600 × 600; 9 KB
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Grafico exemplo linear.png 548 × 188; 4 KB
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Hands HKB in phase fingers.png 646 × 780; 1.25 MB
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Hartman-grobman fig1.PNG 506 × 422; 9 KB
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Hartman-grobman fig2.PNG 506 × 414; 7 KB
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Henon3D.pdf 1,104 × 860; 2.23 MB
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Henonatrat-eps-converted-to.pdf 1,045 × 456; 469 KB
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Homoclinic and Heteroclinic Connections updated 2020-01-29.svg 741 × 551; 40 KB
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Human interactome.jpg 600 × 481; 95 KB
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Hyperbolic flow example, illustrating stable and unstable manifolds.png 692 × 665; 309 KB
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Illustration of the Propagation of an Ensemble by a Flow.png 1,885 × 1,079; 152 KB
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Intermittency in logistic map, cobweb diagram.png 567 × 455; 42 KB
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Intermittency in logistic map.png 567 × 455; 24 KB
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Irrational Rotation on a 2 Torus.png 360 × 359; 23 KB
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Kakutani non.svg 360 × 360; 5 KB
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Kalman.png 2,639 × 1,392; 212 KB
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KapizaPendulumCoordinateSpace.jpg 1,200 × 900; 270 KB
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KapizaPendulumCoordinateSpaceLargeAmplitude.jpg 1,200 × 900; 331 KB
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KapizaPendulumEnergy.jpg 1,200 × 900; 88 KB
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KapizaPendulumEnergyMathPendulum.jpg 1,200 × 900; 62 KB
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KapizaPendulumUpPosition.jpg 1,200 × 900; 120 KB
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Kerr trajectory rphi.png 441 × 432; 13 KB
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Kerr trajectory with two projections.jpg 1,405 × 704; 175 KB
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Kerr trajectory.png 442 × 427; 18 KB
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Kerr-Trajectory1.jpg 896 × 432; 82 KB
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LaSalle principle example.png 1,600 × 3,200; 1.66 MB
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LCS conceptual.pdf 785 × 547; 62 KB
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LCS conceptual2.pdf 872 × 452; 62 KB
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LinDynSysTraceDet.jpg 977 × 602; 43 KB
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LinearFields.png 2,048 × 520; 115 KB
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Logistic iterates 3.4.svg 3,600 × 3,600; 140 KB
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Logistic map approaching the scaling limit.webm 12 s, 3,000 × 600; 619 KB
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Logistic map iterates, r=3.0.svg 3,600 × 3,600; 128 KB
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Logistic map with lyapunov exponent function.png 790 × 889; 80 KB
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Lorenz diverging trajectories small.gif 600 × 450; 2.33 MB
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Lorenz diverging trajectories.gif 1,200 × 900; 7.21 MB
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Lorenz map for the Rossler attractor.png 690 × 553; 29 KB
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LyapunovDiagram.svg 529 × 568; 41 KB
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MacroscaleModel-ExponentialGrowth-5769372.png 1,608 × 262; 34 KB
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Markov Partition for Smale Horseshoe.svg 1,500 × 550; 64 KB
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Material surface.jpg 1,014 × 633; 104 KB
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Mobius.png 193 × 216; 2 KB
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Multiplier4 f.png 1,100 × 1,100; 17 KB
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Multiscroll attractors of dynamical systems.png 800 × 564; 33 KB
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Nearshore FTLE of tidal interface.png 1,024 × 866; 192 KB
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Newton basin1.png 400 × 400; 5 KB
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Newton basin2.png 400 × 400; 22 KB
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Newton basin3.png 400 × 400; 11 KB
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Noniterative Correlation-based Tuning Scheme.svg 701 × 233; 51 KB
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Number smaller then one after repetitive squaring.svg 1,000 × 1,000; 14 KB
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Numerator and denominator of the fraction dx-dt.svg 116 × 98; 10 KB
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One-neuron recurrent network bifurcation diagram.png 800 × 800; 209 KB
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Orbit-1-15.svg 709 × 709; 880 bytes
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Orbit-1-31.svg 709 × 709; 1,004 bytes
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Orbit-1-7.svg 709 × 709; 752 bytes
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Orbit-11-63.svg 709 × 709; 1 KB
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Orbit-74-511.svg 709 × 709; 2 KB
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Orbital instability (Lyapunov exponent).png 945 × 709; 32 KB
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Pendulum02.JPG 299 × 304; 8 KB
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Period Ratio of Ideal Pendulum.svg 512 × 512; 47 KB
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Periodi orbit.png 880 × 625; 53 KB
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Phase plane diff IC.png 561 × 420; 9 KB
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Phase plane nodes.svg 813 × 781; 43 KB
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Poincare-Hopf.svg 512 × 512; 264 KB
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Poincaré Map of Logistic Map.svg 463 × 199; 77 KB
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Repelling LCS.jpeg 783 × 559; 82 KB
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Ricker bifurcation.png 800 × 600; 123 KB
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Rulkov Time Series.jpg 501 × 351; 57 KB
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Saddle separatrix loop polycycle.svg 283 × 99; 21 KB
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Saddle-node phase portrait with central manifold.svg 720 × 720; 35 KB
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SAM 1666.png 1,386 × 1,000; 32 KB
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SAM 1999.png 1,386 × 1,000; 43 KB
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SAM 2229.png 1,386 × 1,000; 34 KB
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SAM 2502.png 1,386 × 1,000; 38 KB
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SAM 2513.png 1,386 × 1,000; 36 KB
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SAM 4179.png 1,386 × 1,000; 39 KB
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SAM 4500.png 1,386 × 1,000; 63 KB
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SAM 4748.png 1,386 × 1,000; 35 KB
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SAM 5000.png 1,386 × 1,000; 61 KB
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SAM 7702.png 1,386 × 1,000; 33 KB
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SDS01.png 871 × 555; 32 KB
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SDS02.png 871 × 555; 48 KB
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SDS03.png 871 × 555; 43 KB
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SDS04.png 871 × 555; 46 KB
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SDS05.png 871 × 555; 49 KB
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SDS06.png 871 × 555; 45 KB
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SDSphase1.png 849 × 421; 22 KB
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SDSphase2.png 823 × 272; 16 KB
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Second order system.jpg 960 × 720; 153 KB
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Section for Proof of Poincaré–Bendixson theorem.svg 354 × 191; 13 KB
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Simple closed curve for Proof of Poincaré–Bendixson theorem.svg 337 × 337; 35 KB
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Simple jump in slow-fast systems.svg 720 × 720; 662 KB
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Simple switching in R2.jpg 1,667 × 854; 139 KB
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Simple-linear-mech.png 629 × 557; 6 KB
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SimplePendulum01.JPG 299 × 304; 6 KB
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SimplePendulum01.svg 288 × 299; 7 KB
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Simulation of variable x(n) in Rulkov map.svg 713 × 461; 42 KB
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Sistema LTI.png 229 × 82; 742 bytes
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Sistema LTI2.png 307 × 82; 902 bytes
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Sistemainvariante.jpg 905 × 250; 19 KB
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Sistemalineal.jpg 431 × 188; 7 KB
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Slope field and its integral curve.svg 127 × 86; 14 KB
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Smale-Williams Solenoid Large.png 1,500 × 1,000; 474 KB
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Smale-Williams Solenoid.png 1,200 × 800; 228 KB
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Solution graph of differential equation.svg 117 × 101; 18 KB
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Sprott attractors animated.gif 800 × 564; 1.35 MB
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Stability Diagram.png 1,196 × 776; 106 KB
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StabilityHS.svg 484 × 418; 8 KB
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State space model delay.PNG 382 × 154; 710 bytes
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State space model integral.PNG 382 × 154; 4 KB
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Stdmap k g with line.png 1,200 × 1,200; 679 KB
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Stdmap k g.png 1,200 × 1,200; 686 KB
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Stdmap k06.png 1,200 × 1,200; 310 KB
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Stdmap k09.png 1,200 × 1,200; 580 KB
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Stdmap k10.png 1,200 × 1,200; 738 KB
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Stdmap k11.png 1,200 × 1,200; 829 KB
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Stdmap k20.png 1,200 × 1,200; 994 KB
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Step Plot in Julia.png 600 × 400; 14 KB
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Superposition 2.png 500 × 180; 8 KB
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LTC systeem freq respons.jpg 718 × 212; 23 KB
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System identification methods.png 562 × 462; 45 KB
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The phase space of a pair of crews.svg 695 × 546; 20 KB
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The problem of cars and carts.svg 957 × 339; 12 KB
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Thomas' cyclically symmetric attractor (axial view).png 4,004 × 3,002; 465 KB
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Thomas' cyclically symmetric attractor.png 4,004 × 3,002; 469 KB
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Topologically conjugate commutative diagram.svg 159 × 159; 26 KB
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Trichotomy of Poincaré-Bendixon theorem.svg 496 × 496; 27 KB
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UnstabilityHS.svg 490 × 453; 14 KB
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Vector field and slope field for the equation x' = v(x).svg 131 × 78; 19 KB
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Vertical-2.jpg 522 × 545; 30 KB
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Virtual Reference Feedback Tuning Scheme.svg 322 × 120; 45 KB
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Wkgt unstable state.png 648 × 433; 15 KB
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Zeit verschiebung.png 250 × 170; 4 KB
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正弦関数による力学系のグラフ.png 845 × 794; 41 KB
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