Lorenz-like attractors in nonholonomic models of Celtic stone

TL;DR

This paper investigates chaotic behavior in a nonholonomic Celtic stone model, revealing Lorenz-like attractors and analyzing their bifurcations, thus contributing to understanding complex dynamics in mechanical systems.

Contribution

It demonstrates the existence of Lorenz-like attractors in a nonholonomic Celtic stone model and explores their bifurcation scenarios, a novel insight into chaotic dynamics in such systems.

Findings

Lorenz-like attractors are observed in the model.

Bifurcation scenarios for attractor appearance and breakdown are analyzed.

Chaotic dynamics depend on specific parameter values.

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.