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.

dynamical system

Mathematical model which describes the time dependence of a point in a geometrical space

Subclass of

mathematical model

Has part

phase space

Authority control

Subcategories

This category has the following 20 subcategories, out of 20 total.

A

► Animations of dynamical systems‎ (19 F)
► Attractors‎ (4 C, 1 P, 17 F)

B

► Bifurcation theory‎ (2 C, 74 F)
► Bunimovich stadiums‎ (3 F)

C

► Chaos theory‎ (13 C, 1 P, 162 F)
► Control engineering‎ (31 C, 135 F)
► Critical orbits‎ (25 F)
► Critical phenomena‎ (1 C)

D

► Differential equations‎ (17 C, 205 F)

H

► Harmonic oscillation‎ (4 C, 40 F)

J

► Julia sets‎ (3 C, 2 P, 170 F)

L

► Lagrangian Coherent Structures‎ (7 F)
► Limit cycles‎ (1 C, 27 F)
► Linearization‎ (5 F)

O

► Oscillation‎ (16 C, 49 F)

S

► Sea spray‎ (1 C, 59 F)
► Self-organization‎ (4 C, 17 F)
► Stability theory‎ (4 C, 2 P, 86 F)

V

► Videos of dynamical systems‎ (2 C, 25 F)

W

► Waves‎ (48 C, 1 P, 441 F)

Pages in category "Dynamical systems"

This category contains only the following page.

Dynamical system

Media in category "Dynamical systems"

The following 124 files are in this category, out of 124 total.

080205 Brusselator picture.jpg 629 × 380; 25 KB
2397.png 1,386 × 1,000; 38 KB
3000.png 1,386 × 1,000; 73 KB
3869.png 1,386 × 1,000; 39 KB
A schematic illustration of the geometrical representation of a dynamical system.svg 389 × 253; 194 KB
Adaptive-cycle.png 1,620 × 1,095; 312 KB
Algol triple star system imaged with the CHARA interferometer.jpg 350 × 159; 6 KB
Analyse grenzschwingungen im zweiortskurvenverfahren.png 867 × 443; 32 KB
Arnold tongues.png 1,500 × 378; 21 KB
AsymptoticStabilityImpulseScilab.png 530 × 270; 4 KB
Ba model 1000nodes.png 871 × 850; 650 KB
Belousov-Zhabotinsky Reaction Simulation Snapshot.jpg 300 × 300; 35 KB
Bernoulli-shift.svg 485 × 245; 98 KB
Bode amplitude.jpg 492 × 243; 24 KB
Bode fase.jpg 498 × 214; 27 KB
Bowen example (heteroclinic attractor).png 599 × 335; 28 KB
Bowen example (heteroclinic attractor).svg 151 × 84; 7 KB
Canard cycles on the two-torus (slides, I. Schurov).pdf 755 × 566, 38 pages; 659 KB
Cauliflower.png 640 × 640; 5 KB
Compensazione.png 772 × 543; 13 KB
Contours in the vector field f(z) = -Cos(z).jpg 500 × 231; 173 KB
Counterexamplestability2.svg 356 × 348; 4 KB
CriticalHyperplane.png 445 × 282; 3 KB
Denjoy-example.svg 482 × 473; 91 KB
Diane Larsen-Freeman at The New School.jpg 596 × 566; 84 KB
Different attractors in same system.png 800 × 565; 25 KB
Distance between repetitive squaring of point smaller then one.svg 1,000 × 1,000; 14 KB
DistanceToFixed.png 1,000 × 500; 21 KB
DistanceToFixed.svg 1,000 × 500; 202 KB
Douday rabbit rough dynamics.png 800 × 600; 14 KB
Dynamic system.png 248 × 116; 748 bytes
Editor de ficheros.png 300 × 159; 38 KB
Entorno SIMULINK.png 195 × 223; 48 KB
Envelope astroid.svg 600 × 480; 264 KB
Envelope cast.svg 600 × 480; 117 KB
Envelope string art.svg 600 × 480; 88 KB
Es6p3.png 296 × 385; 5 KB
Exampleergodicmap.svg 478 × 484; 14 KB
Fubini Nightmare foliation Katok example.svg 720 × 720; 1.62 MB
Function-block-harmonic-balance.png 1,242 × 300; 7 KB
GR inv set iter.png 600 × 600; 9 KB
Grafico exemplo linear.png 548 × 188; 4 KB
Hartman-grobman fig1.PNG 506 × 422; 9 KB
Hartman-grobman fig2.PNG 506 × 414; 7 KB
HenonMap.svg 720 × 540; 9.09 MB
Homoclinic.svg 162 × 162; 3 KB
Human interactome.jpg 600 × 481; 95 KB
Irrational Rotation on a 2 Torus.png 360 × 359; 23 KB
Kakutani non.svg 360 × 360; 5 KB
Kalman.png 2,639 × 1,392; 212 KB
KapizaPendulumCoordinateSpace.jpg 1,200 × 900; 270 KB
KapizaPendulumCoordinateSpaceLargeAmplitude.jpg 1,200 × 900; 331 KB
KapizaPendulumEnergy.jpg 1,200 × 900; 88 KB
KapizaPendulumEnergyMathPendulum.jpg 1,200 × 900; 62 KB
KapizaPendulumUpPosition.jpg 1,200 × 900; 120 KB
LinDynSysTraceDet.jpg 977 × 602; 43 KB
Lyapunov exponents for different dynamical systems, dependence on parameter.png 800 × 564; 13 KB
LyapunovDiagram.svg 529 × 568; 41 KB
MacroscaleModel-ExponentialGrowth-5769372.png 1,608 × 262; 34 KB
Marjolijn Verspoor.jpg 541 × 533; 54 KB
Mobius.png 193 × 216; 2 KB
Multiplier4 f.png 1,100 × 1,100; 17 KB
Multiscroll attractors of dynamical systems.png 800 × 564; 33 KB
Nearshore FTLE of tidal interface.png 1,024 × 866; 192 KB
Newton basin1.png 400 × 400; 5 KB
Newton basin2.png 400 × 400; 22 KB
Newton basin3.png 400 × 400; 11 KB
Number smaller then one after repetitive squaring.svg 1,000 × 1,000; 14 KB
Orbit-1-15.svg 709 × 709; 880 bytes
Orbit-1-31.svg 709 × 709; 1,004 bytes
Orbit-1-7.svg 709 × 709; 752 bytes
Orbit-11-63.svg 709 × 709; 1 KB
Orbit-74-511.svg 709 × 709; 2 KB
Orbital instability (Lyapunov exponent).png 945 × 709; 32 KB
Oriented.png 194 × 214; 3 KB
Pendulum02.JPG 299 × 304; 8 KB
Period Ratio of Ideal Pendulum.svg 512 × 512; 47 KB
Phase plane diff IC.png 561 × 420; 9 KB
Phase plane nodes.svg 813 × 781; 43 KB
Pidcontroller.png 325 × 184; 24 KB
Representación de un sistema mediante Simulink.png 314 × 130; 4 KB
Rulkov Time Series.jpg 501 × 351; 57 KB
Saddle separatrix loop polycycle.svg 283 × 99; 21 KB
Saddle-node phase portrait with central manifold.svg 720 × 720; 35 KB
SAM 1666.png 1,386 × 1,000; 32 KB
SAM 1999.png 1,386 × 1,000; 43 KB
SAM 2229.png 1,386 × 1,000; 34 KB
SAM 2502.png 1,386 × 1,000; 38 KB
SAM 2513.png 1,386 × 1,000; 36 KB
SAM 4179.png 1,386 × 1,000; 39 KB
SAM 4500.png 1,386 × 1,000; 63 KB
SAM 4748.png 1,386 × 1,000; 35 KB
SAM 5000.png 1,386 × 1,000; 61 KB
SAM 7702.png 1,386 × 1,000; 33 KB
SDS01.png 871 × 555; 32 KB
SDS02.png 871 × 555; 48 KB
SDS03.png 871 × 555; 43 KB
SDS04.png 871 × 555; 46 KB
SDS05.png 871 × 555; 49 KB
SDS06.png 871 × 555; 45 KB
SDSphase1.png 849 × 421; 22 KB
SDSphase2.png 823 × 272; 16 KB
Second order system.jpg 960 × 720; 153 KB
Simple jump in slow-fast systems.svg 720 × 720; 662 KB
Simple switching in R2.jpg 1,667 × 854; 139 KB
SimplePendulum01.JPG 299 × 304; 6 KB
Sistema de Identificación.png 259 × 237; 47 KB
Sistema LTI.png 229 × 82; 742 bytes
Sistema LTI2.png 307 × 82; 902 bytes
Sistemainvariante.jpg 905 × 250; 19 KB
Sistemalineal.jpg 431 × 188; 7 KB
Smale-Williams Solenoid Large.png 1,500 × 1,000; 474 KB
Smale-Williams Solenoid.png 1,200 × 800; 228 KB
StabilityHS.svg 484 × 418; 8 KB
State space model delay.PNG 382 × 154; 710 bytes
State space model integral.PNG 382 × 154; 4 KB
Stdmap k06.png 1,200 × 1,200; 310 KB
Superposition 2.png 500 × 180; 8 KB
LTC systeem freq respons.jpg 718 × 212; 23 KB
Thomas' cyclically symmetric attractor (axial view).png 4,004 × 3,002; 465 KB
Thomas' cyclically symmetric attractor.png 4,004 × 3,002; 469 KB
UnstabilityHS.svg 490 × 453; 14 KB
Wkgt unstable state.png 648 × 433; 15 KB
Zeit verschiebung.png 250 × 170; 4 KB

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