Lorenz-like attractors in a nonholonomic model of a rattleback

Lorenz-like attractors in a nonholonomic model of a rattleback

We study chaotic dynamics in a nonholonomic model of a rattleback stone. We show that, for certain values of parameters that characterise geometrical and physical properties of the stone, a strange Lorenz-like attractor is observed in the model. We also study bifurcation scenarios for the appearance...

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Veröffentlicht in:Nonlinearity 2015-09, Vol.28 (9), p.3403-3417
Hauptverfasser: Gonchenko, A S, Gonchenko, S V
Format: Artikel
Sprache:eng
Schlagworte:
bifurcation
Bifurcations
Celtic stone
Chaos theory
Dynamic tests
Lorenz attractor
Mathematical models
Nonlinear dynamics
Nonlinearity
Physical properties
Stone
strange attractor
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Beschreibung
Zusammenfassung:We study chaotic dynamics in a nonholonomic model of a rattleback stone. We show that, for certain values of parameters that characterise geometrical and physical properties of the stone, a strange Lorenz-like attractor is observed in the model. We also study bifurcation scenarios for the appearance and break-down of this attractor.
ISSN:0951-7715
1361-6544
DOI:10.1088/0951-7715/28/9/3403