paper

Lorenz-like attractors in nonholonomic models of Celtic stone

arXiv:1412.1656 · doi:10.1088/0951-7715/28/9/3403

Abstract

We study chaotic dynamics in 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 also bifurcation scenarios for appearance and break-down of this attractor.

15 pages, 7 figures. appears in Nonlinearity, 2015

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