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Regular version of the site

Article

Simple Scenarios of Onset of Chaos in Three-Dimensional Maps

Kazakov A., Gonchenko A. S., Gonchenko S. V., Turaev D. V.

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 Poincar´ e maps in models of nonholonomic mechanics