Abstract
The area preserving maps of Chapter 3 have given us a clear picture of the complex behavior in conservative systems as they undergo a transition to chaos. These maps, however, are somewhat special. For example, the whisker map describes the stochastic layer in the separatrix region of the Duffing oscillator, the standard map describes a small neighborhood of the stochastic layer, and the quadratic maps describe the neighborhood of isolated islands in these maps.
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Reichl, L.E. (1992). Global Properties. In: The Transition to Chaos. Institute for Nonlinear Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4352-4_4
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