Difference between revisions of "Template:Chaos theory"
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{{Navbox | {{Navbox | ||
|name = Chaos theory | |name = Chaos theory | ||
| − | |title = [[ | + | |title = [[Dynamical systems]] |
|state = {{{state<includeonly>|autocollapse</includeonly>}}} | |state = {{{state<includeonly>|autocollapse</includeonly>}}} | ||
|listclass = hlist | |listclass = hlist | ||
| − | |image = [[File:Cône textileII.png| | + | |image = [[File:Cône textileII.png|100px|Conus textile shell]]<!--[[File:Conus textile archiepiscopus 002.jpg|60px|Conus textile shell]]--> |
<br/> | <br/> | ||
| − | [[File: | + | [[File:Circle_map_poincare_recurrence.jpeg|100px|Circle map with black Arnold tongues]] |
| − | |group1 = | + | |group1 = Concepts |
| − | |list1 | + | | list1 = {{Navbox|child |
| − | * [[ | + | |group1 = <div style="margin: 10px 0px">core</div> |
| + | |list1= | ||
| + | * [[attractor]] | ||
| + | * [[Bifurcation_theory#Bifurcation_types|bifurcation]] | ||
| + | * [[fractal]] | ||
| + | * [[limit set]] | ||
| + | * [[lyapunov exponent]] | ||
| + | * [[orbit (dynamics)|orbit]] | ||
| + | * [[periodic point]] | ||
| + | * [[phase space]] | ||
| + | |||
| + | |list2= | ||
| + | * [[anosov diffeomorphism]] | ||
| + | * [[Arnold tongue]] | ||
| + | * [[Axiom A|axiom A dynamical system]] | ||
| + | * [[bifurcation diagram]] | ||
| + | * [[box-counting dimension]] | ||
| + | * [[correlation dimension]] | ||
| + | * [[conservative system]] | ||
| + | * [[ergodicity]] | ||
| + | * [[false nearest neighbors]] | ||
| + | * [[Hausdorff dimension]] | ||
| + | * [[invariant measure]] | ||
| + | * [[Lyapunov stability]] | ||
| + | * [[measure-preserving dynamical system|measure-preserving dynamical systems]] | ||
| + | * [[mixing (mathematics)|mixing]] | ||
| + | * [[Poincaré section]] | ||
| + | * [[recurrence plot]] | ||
| + | * [[SRB measure]] | ||
| + | * [[stable manifold]] | ||
| + | * [[topological conjugacy]] | ||
| + | |||
| + | |group3=<div style="margin: 10px 0px">theorems</div> | ||
| + | |list3= | ||
| + | * [[Ergodic theory#Ergodic theorems|Ergodic theorem]] | ||
| + | * [[Liouville's theorem (Hamiltonian)|Liouville's theorem]] | ||
| + | * [[Krylov–Bogolyubov theorem]] | ||
| + | * [[Poincaré-Bendixson theorem]] | ||
| + | * [[Poincaré recurrence theorem]] | ||
| + | * [[Stable manifold theorem]] | ||
| + | * [[Takens's theorem]] | ||
| + | }} | ||
| + | |||
| + | |group2 = Theoretical<br>branches | ||
| + | |list2 = | ||
* [[Bifurcation theory]] | * [[Bifurcation theory]] | ||
| − | + | * [[Chaos theory]] | |
| − | * [[Chaos theory | ||
| − | |||
* [[Control of chaos]] | * [[Control of chaos]] | ||
* [[Dynamical system]] | * [[Dynamical system]] | ||
| − | * [[ | + | * [[Ergodic theory]] |
| − | |||
| − | |||
* [[Quantum chaos]] | * [[Quantum chaos]] | ||
| − | * [[ | + | * [[Stability theory]] |
* [[Synchronization of chaos]] | * [[Synchronization of chaos]] | ||
| − | + | ||
| − | + | |group3 = Chaotic<br>maps ([[List of chaotic maps|list]]) | |
| − | | | + | |list3 = {{Navbox|child |
| − | | | + | |group1=<div style="margin: 10px 0px">discrete</div> |
| − | + | |list1= | |
* [[Arnold's cat map]] | * [[Arnold's cat map]] | ||
* [[Baker's map]] | * [[Baker's map]] | ||
* [[Complex quadratic polynomial|Complex quadratic map]] | * [[Complex quadratic polynomial|Complex quadratic map]] | ||
| − | |||
* [[Coupled map lattice]] | * [[Coupled map lattice]] | ||
| − | |||
| − | |||
| − | |||
* [[Duffing map]] | * [[Duffing map]] | ||
* [[Dyadic transformation]] | * [[Dyadic transformation]] | ||
| Line 47: | Line 83: | ||
* [[Ikeda map]] | * [[Ikeda map]] | ||
* [[Interval exchange transformation|Interval exchange map]] | * [[Interval exchange transformation|Interval exchange map]] | ||
| + | * [[Irrational rotation]] | ||
* [[Kaplan–Yorke map]] | * [[Kaplan–Yorke map]] | ||
* [[Logistic map]] | * [[Logistic map]] | ||
| + | * [[Standard map]] | ||
| + | * [[Tent map]] | ||
| + | * [[Tinkerbell map]] | ||
| + | * [[Zaslavskii map]] | ||
| + | |group2=<div style="margin: 10px 0px">continuous</div> | ||
| + | |list2= | ||
| + | * [[Double scroll attractor]] | ||
| + | * [[Duffing equation]] | ||
* [[Lorenz system]] | * [[Lorenz system]] | ||
| − | * [[ | + | * [[Lotka–Volterra equations]] |
| + | * [[Mackey-Glass equations]] | ||
* [[Rabinovich–Fabrikant equations]] | * [[Rabinovich–Fabrikant equations]] | ||
* [[Rössler attractor]] | * [[Rössler attractor]] | ||
| − | |||
| − | |||
| − | |||
| − | |||
* [[Three-body problem]] | * [[Three-body problem]] | ||
| − | |||
* [[Van der Pol oscillator]] | * [[Van der Pol oscillator]] | ||
| − | + | }} | |
| − | | | + | |group4 = Chaotic [[physical system|phy-<br>sical systems]] |
| − | | | + | |list4 = |
| − | |||
* [[Chua's circuit]] | * [[Chua's circuit]] | ||
| − | * [[ | + | * [[Rayleigh–Bénard convection|Convection]] |
| + | * [[Double pendulum]] | ||
| + | * [[Elastic pendulum]] | ||
* [[Fermi–Pasta–Ulam–Tsingou problem|FPUT problem]] | * [[Fermi–Pasta–Ulam–Tsingou problem|FPUT problem]] | ||
| − | * [[Tilt-A-Whirl]] | + | * [[Population dynamics]] |
| + | * [[Swinging Atwood's machine]] | ||
| + | * [[Tilt-A-Whirl]] | ||
| + | * [[Weather forecasting|Weather]] | ||
| − | | | + | |group5 = Chaos<br>theorists |
| − | | | + | |list5 = |
* [[Michael Berry (physicist)|Michael Berry]] | * [[Michael Berry (physicist)|Michael Berry]] | ||
| + | * [[Rufus Bowen]] | ||
* [[Mary Cartwright]] | * [[Mary Cartwright]] | ||
* [[Leon O. Chua]] | * [[Leon O. Chua]] | ||
* [[Mitchell Feigenbaum]] | * [[Mitchell Feigenbaum]] | ||
| + | * [[Peter Grassberger]] | ||
* [[Celso Grebogi]] | * [[Celso Grebogi]] | ||
* [[Martin Gutzwiller]] | * [[Martin Gutzwiller]] | ||
| Line 92: | Line 139: | ||
* [[David Ruelle]] | * [[David Ruelle]] | ||
* [[Caroline Series]] | * [[Caroline Series]] | ||
| + | * [[Yakov Sinai]] | ||
* [[Oleksandr Mykolayovych Sharkovsky]] | * [[Oleksandr Mykolayovych Sharkovsky]] | ||
* [[Nina Snaith]] | * [[Nina Snaith]] | ||
| Line 97: | Line 145: | ||
* [[Audrey Terras]] | * [[Audrey Terras]] | ||
* [[Mary Tsingou]] | * [[Mary Tsingou]] | ||
| + | * [[Marcelo Viana]] | ||
* [[Amie Wilkinson]] | * [[Amie Wilkinson]] | ||
* [[James A. Yorke]] | * [[James A. Yorke]] | ||
* [[Lai-Sang Young]] | * [[Lai-Sang Young]] | ||
| + | |||
| + | |group6=Related<br>articles | ||
| + | |list6= | ||
| + | * [[Butterfly effect]] | ||
| + | * [[Chaos theory in organizational development]] | ||
| + | * [[Complexity]] | ||
| + | * [[Edge of chaos]] | ||
| + | * [[Predictability]] | ||
| + | * [[Santa Fe Institute]] | ||
}}<noinclude> | }}<noinclude> | ||
Latest revision as of 13:14, 2 November 2020
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See also
- {{Fractals}}
- {{Systems science}}
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