This article is cited in 3 papers

MATHEMATICS

On Lorenz-like attractors in model of celtic stone

A. S. Gonchenko

Research Institute for Applied Mathematics and Cybernetics, Nizhnii Novgorod, Russia

Abstract: We study chaotic dynamics in a nonholonomic model of celtic stone. We show that, for certain values of parameters characterizing geometrical and physical properties of the stone, a strange Lorenz-like attractor is observed in the model. We study certain steps of appearance and break-down of this attractor.

Keywords: celtic stone, nonholonomic model, Lorenz-like attractor, chaotic dynamics.

UDC: 517.925+517.3

MSC: 37J60, 37N15, 37G35

Received: 25.04.2013

DOI: 10.20537/vm130201