COMPLEX DYNAMICS AND MULTISTABILITY IN A DAMPED HARMONIC-OSCILLATOR WITH DELAYED NEGATIVE FEEDBACK

Authors
CAMPBELL SA BELAIR J OHIRA T MILTON J
Citation
Sa. Campbell et al., COMPLEX DYNAMICS AND MULTISTABILITY IN A DAMPED HARMONIC-OSCILLATOR WITH DELAYED NEGATIVE FEEDBACK, Chaos, 5(4), 1995, pp. 640-645
Citations number
32
Categorie Soggetti
Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Chaos → ACNP
ISSN journal
10541500
Volume
5
Issue
4
Year of publication
1995
Pages
640 - 645
Database
ISI
SICI code
1054-1500(1995)5:4<640:CDAMIA>2.0.ZU;2-5
Abstract
A center manifold reduction and numerical calculations are used to dem onstrate the presence of limit cycles, two-tori, and multistability in the damped harmonic oscillator with delayed negative feedback. This m odel is the prototype of a mechanical system operating with delayed fe edback. Complex dynamics are thus seen to arise in very plausible and commonly occurring mechanical and neuromechanical feedback systems. (C ) 1995 American Institute of Physics.