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

页码：701 / 712

页数：12

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