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
Full text not available from this repository.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.