Coherence resonance at noisy precursors of bifurcations in nonlinear dynamical systems

被引:201
|
作者
Neiman, A
Saparin, PI
Stone, L
机构
[1] SARATOV NG CHERNYSHEVSKII STATE UNIV, DEPT PHYS, SARATOV 410071, RUSSIA
[2] UNIV POTSDAM, INST THEORET PHYS & ASTROPHYS, D-14415 POTSDAM, GERMANY
来源
PHYSICAL REVIEW E | 1997年 / 56卷 / 01期
关键词
D O I
10.1103/PhysRevE.56.270
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A general mechanism of coherence resonance that occurs in noisy dynamical systems close to the onset of bifurcation is demonstrated through examples of period-doubling and torus-birth bifurcations, Near the bifurcation of a periodic orbit, noise produces the characteristic peaks of ''noisy precursors'' in the po-vver spectrum. The signal-to-noise ratio evaluated at these peaks is maximal for a certain optimal noise intensity in a manner that resembles a stochastic resonance.
引用
收藏
页码:270 / 273
页数:4
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