Some Partial Differential Equations with Chaotic Solutions
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This Demonstration considers some partial differential equations with chaotic solutions of the form and . Sprott and others [1] found this set by an extensive search; the plots are shown in order of increasing complexity and are not necessarily optimally elegant. Periodic boundary conditions are chosen and the condition is used for the equations. Different equations can be selected by scrolling down the list.
Contributed by: Enrique Zeleny (April 2013)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Reference
[1] J. C. Sprott, Elegant Chaos: Algebraically Simple Chaotic Flows, Singapore: World Scientific, 2010.
Permanent Citation
"Some Partial Differential Equations with Chaotic Solutions"
http://demonstrations.wolfram.com/SomePartialDifferentialEquationsWithChaoticSolutions/
Wolfram Demonstrations Project
Published: April 17 2013