Maximal Lyapunov exponent of a co-dimension two bifurcation system excited by a white noise

DOI10.1016/J.IJNONLINMEC.2004.07.021zbMath1349.70053OpenAlexW2055061828MaRDI QIDQ873519

N. E. Zubov

Publication date: 29 March 2007

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijnonlinmec.2004.07.021

zbMATH Keywords

diffusion processsingular pointmaximal Lyapunov exponent

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Ordinary differential equations and systems with randomness (34F05) Stability for problems in linear vibration theory (70J25) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Dynamical systems in classical and celestial mechanics (37N05)

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The stochastic stability and bifurcation behavior of an internet congestion control model ⋮ The maximal Lyapunov exponent of a co-dimension two-bifurcation system excited by a bounded noise ⋮ The moment Lyapunov exponent of a co-dimension two bifurcation system driven by non-Gaussian colored noise ⋮ Stability and bifurcation of two-dimensional stochastic differential equations with multiplicative excitations ⋮ The maximal Lyapunov exponent for a three-dimensional system driven by white noise

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