Bifurcation analysis of zero dispersion-nonlinear resonance.

Mannella, R. and Soskin, Stanislav M. and McClintock, Peter V. E. (1998) Bifurcation analysis of zero dispersion-nonlinear resonance. International Journal of Bifurcation and Chaos, 8 (4). pp. 701-712. ISSN 0218-1274

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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.

Item Type:
Journal Article
Journal or Publication Title:
International Journal of Bifurcation and Chaos
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
ID Code:
32018
Deposited On:
08 Mar 2010 15:14
Refereed?:
Yes
Published?:
Published
Last Modified:
11 Feb 2020 07:44