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American Journal of Physics -- October 1991 -- Volume 59, Issue 10, pp. 907

Dynamical symmetry breaking and chaos in Duffing’s equation

Collin L. Olson and M. G. Olsson

Department of Physics, University of Wisconsin, Madison, Wisconsin 53706

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In certain frequency ranges a nonlinear damped and driven oscillator will respond asymmetri‐cally even though the potential energy is a single symmetric well. This dynamical symmetry breaking heralds the onset of a period doubling transition to chaos.

KEYWORDS and PACS

Keywords

CHAOTIC SYSTEMS, SYMMETRY BREAKING, ANHARMONIC OSCILLATORS, DAMPING, DIFFERENTIAL EQUATIONS, NONLINEAR PROBLEMS, AMPLITUDES

PACS

  • 05.45.-a

    Nonlinear dynamics and chaos

  • 45.05.+x

    General theory of classical mechanics of discrete systems

History
Received Oct 1990
Accepted Mar 1991

PUBLICATION DATA

ISSN

0002-9505 (print)  

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1119/1.16669

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