THE CORRESPONDENCE BETWEEN STOCHASTIC RESONANCE AND BIFURCATION OF MOMENT EQUATIONS OF NOISY NONLINEAR DYNAMICAL SYSTEM

DOI10.1142/S0218127407019871zbMath1160.34052OpenAlexW2028873496MaRDI QIDQ3533716

Jian-xue Xu, Guang-Jun Zhang

Publication date: 23 October 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127407019871

zbMATH Keywords

stochastic differential equationsenergy transferwhite noisebifurcation pointstochastic resonancemoment equationpower amplification factor

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Random vibrations in mechanics of particles and systems (70L05) Ordinary differential equations and systems with randomness (34F05) Nonlinear dynamics in mechanics (70K99) Generation, random and stochastic difference and differential equations (37H10) Bifurcation theory for random and stochastic dynamical systems (37H20)

Related Items (1)

Stochastic resonance in coupled weakly-damped bistable oscillators subjected to additive and multiplicative noises

Cites Work

• Stochastic resonance in neuron models
• Analytical and simulation results for stochastic Fitzhugh-Nagumo neurons and neural networks
• Resonance in a noise-driven excitable neuron model
• Stochastic processes and filtering theory
• Application of the method of moments for calculating the dynamic response of periodically driven nonlinear stochastic systems

This page was built for publication: THE CORRESPONDENCE BETWEEN STOCHASTIC RESONANCE AND BIFURCATION OF MOMENT EQUATIONS OF NOISY NONLINEAR DYNAMICAL SYSTEM