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Bifurcation analysis of zero dispersion-nonlinear resonance.

Research output: Contribution to journalJournal article

Published

Journal publication date04/1998
JournalInternational Journal of Bifurcation and Chaos
Journal number4
Volume8
Number of pages12
Pages701-712
Original languageEnglish

Abstract

The problem of zero-dispersion nonlinear resonance - a phenomenon that can occur in a periodically-driven nonlinear oscillator whose eigenfrequency as a function of energy possesses an extremum - has been formulated in general for both the dissipative and nondissipative situations. A complete bifurcation analysis and classification of period-l orbits is presented. The significance of bifurcations for the onset of chaos in the system, and for fluctuations in the presence of external noise, is discussed.