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Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback. | LitMetric
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Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback.

Sue Ann Campbell Jacques Belair Toru Ohira John Milton

Chaos

Centre for Nonlinear Dynamics in Physiology and Medicine, McGill University, Montreal, CanadaDepartment of Applied Mathematics, University of Waterloo, Waterloo, CanadaCentre de Recherches Mathematiques, Universite de Montreal, Montreal, CanadaCentre for Nonlinear Dynamics in Physiology and Medicine, McGill University, Montreal, CanadaCentre de Recherches Mathematiques and Department de Mathematiques et de Statistique, Universite de Montreal, Montreal, CanadaSony Computer Science Laboratory, Inc., Tokyo, JapanDepartment of Neurology and Committee on Neurobiology, The University of Chicago Hospitals, MC2030, 5841 South Maryland, Chicago, Illinois 60637Centre for Nonlinear Dynamics in Physiology and Medicine, McGill University, Montreal, Canada.

Published: December 1995

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. (c) 1995 American Institute of Physics.

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http://dx.doi.org/10.1063/1.166134DOI Listing

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