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Harmonic Oscillators with Nonlinear Damping

J. C. Sprott

http://orcid.org/0000-0001-7014-3283

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

E-mail Address: sprott@physics.wisc.edu

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and

W. G. Hoover

Ruby Valley Research Institute, Highway Contract 60, Box 601, Ruby Valley, Nevada 89833, USA

E-mail Address: hooverwilliam@yahoo.com

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https://doi.org/10.1142/S0218127417300373Cited by:17 (Source: Crossref)

Abstract

Dynamical systems with special properties are continually being proposed and studied. Many of these systems are variants of the simple harmonic oscillator with nonlinear damping. This paper characterizes these systems as a hierarchy of increasingly complicated equations with correspondingly interesting behavior, including coexisting attractors, chaos in the absence of equilibria, and strange attractor/repellor pairs.

Keywords:

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