Difference between revisions of "Template:Chaos theory"

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{{Navbox
 
{{Navbox
 
|name  = Chaos theory
 
|name  = Chaos theory
|title = [[Chaos theory]]
+
|title = [[Dynamical systems]]
 
|state = {{{state<includeonly>|autocollapse</includeonly>}}}
 
|state = {{{state<includeonly>|autocollapse</includeonly>}}}
 
|listclass = hlist
 
|listclass = hlist
|image = [[File:Cône textileII.png|60px|Conus textile shell]]<!--[[File:Conus textile archiepiscopus 002.jpg|60px|Conus textile shell]]-->
+
|image = [[File:Cône textileII.png|100px|Conus textile shell]]<!--[[File:Conus textile archiepiscopus 002.jpg|60px|Conus textile shell]]-->
 
<br/>
 
<br/>
[[File:Circle map bifurcation.jpeg|60px|Circle map with black Arnold tongues]]
+
[[File:Circle_map_poincare_recurrence.jpeg|100px|Circle map with black Arnold tongues]]
  
|group1 = Chaos theory
+
|group1 = Concepts
|list1 =  
+
| list1 = {{Navbox|child
* [[Anosov diffeomorphism]]
+
|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]]
* [[Butterfly effect]]
+
* [[Chaos theory]]
* [[Chaos theory in organizational development]]
 
* [[Complexity]]
 
 
* [[Control of chaos]]
 
* [[Control of chaos]]
 
* [[Dynamical system]]
 
* [[Dynamical system]]
* [[Edge of chaos]]
+
* [[Ergodic theory]]
* [[Fractal]]
 
* [[Predictability]]
 
 
* [[Quantum chaos]]
 
* [[Quantum chaos]]
* [[Santa Fe Institute]]
+
* [[Stability theory]]
 
* [[Synchronization of chaos]]
 
* [[Synchronization of chaos]]
* [[Unintended consequences]]
+
 
+
|group3 = Chaotic<br>maps ([[List of chaotic maps|list]])
|group2 = [[Chaos theory|Chaotic map]]s<br/> ([[List of chaotic maps|list]])
+
|list3 = {{Navbox|child
|list2 =  
+
|group1=<div style="margin: 10px 0px">discrete</div>
* [[Arnold tongue]]
+
|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]]
* [[Complex squaring map]]
 
 
* [[Coupled map lattice]]
 
* [[Coupled map lattice]]
* [[Double pendulum]]
 
* [[Double scroll attractor]]
 
* [[Duffing equation]]
 
 
* [[Duffing map]]
 
* [[Duffing map]]
 
* [[Dyadic transformation]]
 
* [[Dyadic transformation]]
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* [[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]]
* [[Multiscroll attractor]]
+
* [[Lotka–Volterra equations]]
 +
* [[Mackey-Glass equations]]
 
* [[Rabinovich–Fabrikant equations]]
 
* [[Rabinovich–Fabrikant equations]]
 
* [[Rössler attractor]]
 
* [[Rössler attractor]]
* [[Spring pendulum]]
 
* [[Standard map]]
 
* [[Swinging Atwood's machine]]
 
* [[Tent map]]
 
 
* [[Three-body problem]]
 
* [[Three-body problem]]
* [[Tinkerbell map]]
 
 
* [[Van der Pol oscillator]]
 
* [[Van der Pol oscillator]]
* [[Zaslavskii map]]
+
}}
  
|group3 = Chaos systems  
+
|group4 = Chaotic [[physical system|phy-<br>sical systems]]
|list3 =  
+
|list4 =
* [[Bouncing ball dynamics]]
 
 
* [[Chua's circuit]]
 
* [[Chua's circuit]]
* [[Economic bubble]]
+
* [[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]]
  
|group4 = Chaos theorists
+
|group5 = Chaos<br>theorists
|list4 =  
+
|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]]
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* [[David Ruelle]]
 
* [[David Ruelle]]
 
* [[Caroline Series]]
 
* [[Caroline Series]]
 +
* [[Yakov Sinai]]
 
* [[Oleksandr Mykolayovych Sharkovsky]]
 
* [[Oleksandr Mykolayovych Sharkovsky]]
 
* [[Nina Snaith]]
 
* [[Nina Snaith]]
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* [[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

Template documentation

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See also