Indicwiki: 1 revision imported from :alpha:Template:Chaos_theory

2023-01-03T04:22:00Z

1 revision imported from alpha:Template:Chaos_theory

← Older revision	Revision as of 09:52, 3 January 2023
(No difference)

alpha>Indicwiki: Created page with "{{Navbox |name = Chaos theory |title = Dynamical systems |state = {{{state|autocollapse}}} |listclass = hlist |image = File:Cône textileII.p..."

2022-12-19T17:32:49Z

Created page with "{{Navbox |name = Chaos theory |title = Dynamical systems |state = {{{state<includeonly>|autocollapse</includeonly>}}} |listclass = hlist |image = File:Cône textileII.p..."

New page

{{Navbox
|name = Chaos theory
|title = [[Dynamical systems]]
|state = {{{state<includeonly>|autocollapse</includeonly>}}}
|listclass = hlist
|image = [[File:Cône textileII.png|100px|Conus textile shell]]
<br/>
[[File:Circle_map_poincare_recurrence.jpeg|100px|Circle map with black Arnold tongues]]

|group1 = Concepts
| list1 = {{Navbox|child
|group1 = <div style="margin: 10px 0px">Core</div>
|list1=
* [[Attractor]]
* [[Bifurcation theory|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]]
* [[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]]
* [[Chaos theory]]
* [[Control of chaos]]
* [[Dynamical system]]
* [[Ergodic theory]]
* [[Quantum chaos]]
* [[Stability theory]]
* [[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]]
* [[Baker's map]]
* [[Complex quadratic polynomial|Complex quadratic map]]
* [[Coupled map lattice]]
* [[Duffing map]]
* [[Dyadic transformation]]
* [[Dynamical billiards]]
** [[Outer billiard|outer]]
* [[Exponential map (discrete dynamical systems)|Exponential map]]
* [[Gauss iterated map|Gauss map]]
* [[Gingerbreadman map]]
* [[Hénon map]]
* [[Horseshoe map]]
* [[Ikeda map]]
* [[Interval exchange transformation|Interval exchange map]]
* [[Irrational rotation]]
* [[Kaplan–Yorke map]]
* [[Langton's ant]]
* [[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]]
* [[Lotka–Volterra equations]]
* [[Mackey–Glass equations]]
* [[Rabinovich–Fabrikant equations]]
* [[Rössler attractor]]
* [[Three-body problem]]
* [[Van der Pol oscillator]]
}}

|group4 = Physical<br>systems
|list4 =
* [[Chua's circuit]]
* [[Rayleigh–Bénard convection|Convection]]
* [[Double pendulum]]
* [[Elastic pendulum]]
* [[Fermi–Pasta–Ulam–Tsingou problem|FPUT problem]]
* [[Hénon–Heiles_system]]
* [[Kicked rotator]]
* [[Multiscroll attractor]]
* [[Population dynamics]]
* [[Swinging Atwood's machine]]
* [[Tilt-A-Whirl]]
* [[Weather forecasting|Weather]]

|group5 = Chaos<br>theorists
|list5 =
* [[Michael Berry (physicist)|Michael Berry]]
* [[Rufus Bowen]]
* [[Mary Cartwright]]
* [[Chen Guanrong]]
* [[Leon O. Chua]]
* [[Mitchell Feigenbaum]]
* [[Peter Grassberger]]
* [[Celso Grebogi]]
* [[Martin Gutzwiller]]
* [[Brosl Hasslacher]]
* [[Michel Hénon]]
* [[Svetlana Jitomirskaya]]
* [[Bryna Kra]]
* [[Edward Norton Lorenz]]
* [[Aleksandr Lyapunov]]
* [[Benoit Mandelbrot|Benoît Mandelbrot]]
* [[Hee Oh]]
* [[Edward Ott]]
* [[Henri Poincaré]]
* [[Mary Rees]]
* [[Otto Rössler]]
* [[David Ruelle]]
* [[Caroline Series]]
* [[Yakov Sinai]]
* [[Oleksandr Mykolayovych Sharkovsky]]
* [[Nina Snaith]]
* [[Floris Takens]]
* [[Audrey Terras]]
* [[Mary Tsingou]]
* [[Marcelo Viana]]
* [[Amie Wilkinson]]
* [[James A. Yorke]]
* [[Lai-Sang Young]]

|group6=Related<br>articles
|list6=
* [[Butterfly effect]]
* [[Complexity]]
* [[Edge of chaos]]
* [[Predictability]]
* [[Santa Fe Institute]]

}}<noinclude>
{{Documentation|content=

{{collapsible option}}

==See also==
*{{tl|Fractals}}
*{{tl|Systems science}}

[[Category:Mathematics navigational boxes]]
[[Category:Systems templates]]
}}
</noinclude>

Template:Chaos theory - Revision history

Indicwiki: 1 revision imported from :alpha:Template:Chaos_theory

alpha>Indicwiki: Created page with "{{Navbox |name = Chaos theory |title = Dynamical systems |state = {{{state|autocollapse}}} |listclass = hlist |image = File:Cône textileII.p..."