Pseudopotential of birhythmic van der Pol-type systems with correlated noise

被引：16

作者：

Yonkeu, R. Mbakob ^{[1
]}

Yamapi, R. ^{[2
]}

Filatrella, G. ^{[3
,4
]}

Tchawoua, C. ^{[1
]}

机构：

[1] Univ Yaounde I, Lab Mech & Mat, Dept Phys, Fac Sci, Box 812, Yaounde, Cameroon

[2] Univ Douala, Fundamental Phys Lab, Phys Complex Syst Grp, Dept Phys,Fac Sci, Box 24 157, Douala, Cameroon

[3] Univ Sannio, Dept Sci & Technol, Via PortArsa 11, I-82100 Benevento, Italy

[4] Univ Sannio, Salerno Unit CNSIM, Via PortArsa 11, I-82100 Benevento, Italy

来源：

NONLINEAR DYNAMICS | 2016年 / 84卷 / 02期

关键词：

Birhythmicity; Noise; Pseudopotential (quasipotential); LIMIT-CYCLE VAN; BIFURCATION STRUCTURE; DRIVEN; STABILITY; DYNAMICS; ESCAPE; MOTION; MODEL;

D O I：

10.1007/s11071-015-2512-4

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We propose to compute the effective activation energy, usually referred to a pseudopotential or quasipotential, of a birhythmic system-a van der Pol-like oscillator-in the presence of correlated noise. It is demonstrated, with analytical techniques and numerical simulations, that the correlated noise can be taken into account and one can retrieve the low noise rate of the escapes. We thus conclude that a pseudopotential, or an effective activation energy, is a realistic description for the stability of birhythmic attractors also in the presence of correlated noise.

引用

页码：627 / 639

页数：13

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