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

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 nois...

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Bibliographic Details
Published in:Nonlinear dynamics 2016-04, Vol.84 (2), p.627-639
Main Authors: Yonkeu, R. Mbakob, Yamapi, R., Filatrella, G., Tchawoua, C.
Format: Article
Language:English
Subjects:
Activation energy
Automotive Engineering
Classical Mechanics
Computer simulation
Control
Correlation
Dynamical Systems
Engineering
Low noise
Mathematical analysis
Mechanical Engineering
Noise
Nonlinear dynamics
Original Paper
Pseudopotentials
System effectiveness
Vibration
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Summary: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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2512-4