Bifurcation analysis of zero-dispersion nonlinear resonance

被引：7
|
作者：
Mannella, R [1 ]
Soskin, SM
McClintock, PVE
机构：
[1] Univ Lancaster, Sch Phys & Chem, Lancaster LA1 4YB, England
[2] Univ Pisa, Dipartimento Fis, I-56100 Pisa, Italy
[3] Ist Nazl Fis Mat, I-56100 Pisa, Italy
[4] Natl Acad Sci Ukraine, Inst Semicond Phys, Kiev, Ukraine
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1998年 / 8卷 / 04期
关键词：
D O I：
10.1142/S0218127498000498
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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-1 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.
引用
收藏
页码：701 / 712
页数：12
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