Chaotic dynamics phenomena in the rubber rock-n-roller on a plane problem

Alexey O. Kazakov

Russian journal of nonlinear dynamics, Tome 9 (2013) no. 2, pp. 309-325.

Résumé

In this paper we study a problem of rolling of the dynamically asymmetric ball with displacement center of gravity on a plane without slipping and vertical rotating. It is shown that the dynamics of the ball is significantly affected by the type of reversibility. Depending on the type of the reversibility we found two different types of dynamical chaos: strange attractors and mixed chaotic dynamics. In this paper we describe a strange attractor development, and then its basic properties. A set of criteria by which in numerical experiments mixed dynamics may be distinguished from other types of dynamical chaos are given.

Détail

Keywords: rock-n-roller, rubber rolling, reversibility, focus, saddle, separatrix, homoclinic tangency, Lyapunov's exponents, mixed dynamics, strange attractor.
Mots-clés : bifurcation

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