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Nonlinear Sciences > Chaotic Dynamics

arXiv:1412.0293 (nlin)
[Submitted on 30 Nov 2014]

Title:Simple scenarios of onset of chaos in three-dimensional maps

Authors: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.
Subjects: Chaotic Dynamics (nlin.CD)
Cite as: arXiv:1412.0293 [nlin.CD]
  (or arXiv:1412.0293v1 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.1412.0293
Related DOI: https://doi.org/10.1142/S0218127414400057

Submission history

From: Dmitry Turaev [view email]
[v1] Sun, 30 Nov 2014 22:02:26 UTC (8,725 KB)
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