Simple scenarios of onset of chaos in three-dimensional maps

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.

References in corpus (2)

• Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial
• Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps

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