Complex Dynamics and Multistability in a Damped Harmonic Oscillator with Delayed Negative Feedback

Authors

Sue Ann Campbell, University of WaterlooFollow
Jacques Bélair, University of MontrealFollow
Toru Ohira
John Milton, Claremont McKenna College; Pitzer College; Scripps CollegeFollow

Document Type

Article

Department

WM Keck Science

Publication Date

12-1995

Abstract

A center manifold reduction and numerical calculations are used to demonstrate the presence of limit cycles, two-tori, and multistability in the damped harmonic oscillator with delayed negative feedback. This model is the prototype of a mechanical system operating with delayed feedback. Complex dynamics are thus seen to arise in very plausible and commonly occurring mechanical and neuromechanical feedback systems.

Comments

Previously linked to as: http://ccdl.libraries.claremont.edu/u?/irw,225

This article can also be found at http://link.aip.org/link/?CHAOEH/5/640/1

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Recommended Citation

Campbell, Sue Ann, Jacques Belair, Toru Ohira, and John Milton. "Complex Dynamics and Multistability in a Damped Harmonic Oscillator with Delayed Negative Feedback." Chaos 5.4 (1995): 640-645. DOI: 10.1063/1.166134