Alexander S. Gonchenko, Sergey V. Gonchenko, Alexey O. Kazakov, “On some new aspects of Celtic stone chaotic dynamics”, Nelin. Dinam., 2012, Volume 8, Number 3,Pages <nobr>507

This article is cited in 9 papers

On some new aspects of Celtic stone chaotic dynamics

Alexander S. Gonchenko, Sergey V. Gonchenko, Alexey O. Kazakov

Research Institute for Applied Mathematics and Cybernetics, Ul’yanova st. 10, Nizhnii Novgorod, 603605, Russia

Abstract: We study chaotic dynamics of a nonholonomic model of celtic stone movement on the plane. Scenarious of appearance and development of chaos are investigated.

Keywords: nonholonomic model, strange attractor, symmetry, bifurcation, mixed dynamics.

UDC: 517.925 + 517.93

MSC: 37J60, 37N15, 37G35

Received: 08.05.2012
Revised: 25.06.2012