Spiral chaos in the nonholonomic model of a Chaplygin top

This paper presents a numerical study of the chaotic dynamics of a dynamically asymmetric unbalanced ball (Chaplygin top) rolling on a plane. It is well known that the dynamics of such a system reduces to the investigation of a three-dimensional map, which in the general case has no smooth invariant...

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Veröffentlicht in:	Regular & chaotic dynamics 2016-12, Vol.21 (7-8), p.939-954
Hauptverfasser:	Borisov, Alexey V., Kazakov, Alexey O., Sataev, Igor R.
Format:	Artikel
Sprache:	eng
Schlagworte:	Chaos theory Dynamical Systems and Ergodic Theory Mathematical models Mathematics Mathematics and Statistics Nonlinear Dynamics & Mobile Robotics Strange attractors Strangeness Trajectory analysis
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