BIFURCATION-ANALYSIS OF ZERO-DISPERSION NONLINEAR RESONANCE

Authors
MANNELLA R SOSKIN SM MCCLINTOCK PVE
Citation
R. Mannella et al., BIFURCATION-ANALYSIS OF ZERO-DISPERSION NONLINEAR RESONANCE, International journal of bifurcation and chaos in applied sciences and engineering, 8(4), 1998, pp. 701-712
Citations number
34
Categorie Soggetti
Mathematics,Mathematics,"Multidisciplinary Sciences
Journal title
International journal of bifurcation and chaos in applied sciences and engineering → ACNP
ISSN journal
02181274
Volume
8
Issue
4
Year of publication
1998
Pages
701 - 712
Database
ISI
SICI code
0218-1274(1998)8:4<701:BOZNR>2.0.ZU;2-I
Abstract
The problem of zero-dispersion nonlinear resonance - a phenomenon that can occur in a periodically-driven nonlinear oscillator whose eigenfr equency as a function of energy possesses an extremum - has been formu lated in general for both the dissipative and nondissipative situation s. A complete bifurcation analysis and classification of period-1 orbi ts is presented. The significance of bifurcations for the onset of cha os in the system, and for fluctuations in the presence of external noi se, is discussed.