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UFN, 2003, Volume 173, Number 4, Pages 407–418 (Mi ufn2129)  

This article is cited in 64 scientific papers (total in 66 papers)

METHODOLOGICAL NOTES

Strange attractors in rattleback dynamics

A. V. Borisov, I. S. Mamaev

Institute of Computer Science

Abstract: This review is dedicated to the dynamics of the rattleback, a phenomenon with curious physical properties that is studied in nonholonomic mechanics. All known analytical results are collected here, and some results of our numerical simulation are presented. In particular, three-dimensional Poincare maps associated with dynamical systems are systematically investigated for the first time. It is shown that the loss of stability of periodic and quasiperiodic solutions, which gives rise to strange attractors, is typical of the three-dimensional maps related to rattleback dynamics. This explains some newly discovered properties of the rattleback related to the transition from regular to chaotic solutions at certain values of the physical parameters.

DOI: https://doi.org/10.3367/UFNr.0173.200304d.0407

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English version:
Physics–Uspekhi, 2003, 46:4, 393–403

Bibliographic databases:

Document Type: Article
PACS: 05.45.-a, 45.10.-b, 45.40.-f
Received: June 24, 2002
Revised: December 4, 2002

Citation: A. V. Borisov, I. S. Mamaev, “Strange attractors in rattleback dynamics”, UFN, 173:4 (2003), 407–418; Phys. Usp., 46:4 (2003), 393–403

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\jour Phys. Usp.
\yr 2003
\vol 46
\issue 4
\pages 393--403
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    This publication is cited in the following articles:
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