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Bifurcation analysis of zero dispersion-nonlinear resonance.

Research output: Contribution to journalJournal article


<mark>Journal publication date</mark>04/1998
<mark>Journal</mark>International Journal of Bifurcation and Chaos
Issue number4
Number of pages12
Pages (from-to)701-712
<mark>Original language</mark>English


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.