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Dynamical symmetry breaking and chaos in Duffing’s equation

Authors :
M. G. Olsson
Collin L. Olson
Source :
American Journal of Physics. 59:907-911
Publication Year :
1991
Publisher :
American Association of Physics Teachers (AAPT), 1991.

Abstract

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.

Subjects

Subjects :
Physics
Period-doubling bifurcation
Explicit symmetry breaking
Nonlinear system
Classical mechanics
Amplitude
Differential equation
General Physics and Astronomy
Duffing equation
Symmetry breaking
Potential energy

Details

ISSN :
19432909 and 00029505
Volume :
59
Database :
OpenAIRE
Journal :
American Journal of Physics
Accession number :
edsair.doi...........16402fa9351a1552e51715ce1f72f32a
Full Text :
https://doi.org/10.1119/1.16669
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