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arXiv · 1412.0293

Simple scenarios of onset of chaos in three-dimensional maps

Alexander Gonchenko·Sergey Gonchenko·Alexey Kazakov·Dmitry Turaev
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Abstract

We give a qualitative description of two main routes to chaos in three-dimensional maps. We discuss Shilnikov scenario of transition to spiral chaos and a scenario of transition to discrete Lorenz-like and figure-eight strange attractors. The theory is illustrated by numerical analysis of three-dimensional Henon-like maps and Poincare maps in models of nonholonomic mechanics.

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Alexander Gonchenko, Sergey Gonchenko, Alexey Kazakov, Dmitry Turaev. 2014-11-30. Simple scenarios of onset of chaos in three-dimensional maps. https://doi.org/10.1142/s0218127414400057

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