On the maximal Lyapunov exponent for a real noise parametrically excited co-dimension two bifurcation system. I

DOI10.1007/BF02459059zbMath0983.37063OpenAlexW4229912045MaRDI QIDQ1969924

Dapeng Chen, Qiu Chen, Xian-bin Liu

Publication date: 24 July 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459059

zbMATH Keywords

invariant measurereal-noise excitationspectrum of Fokker-Planck operator

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Ordinary differential equations and systems with randomness (34F05) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Bifurcation theory for random and stochastic dynamical systems (37H20)

Related Items (1)

On the maximal Lyapunov exponent for a real noise parametrically excited co-dimension two bifurcation system. II

Cites Work

• Stochastically perturbed Hopf bifurcation
• Stochastic averaging of oscillators excited by colored Gaussian processes
• On two bifurcations of a white-noise excited Hopf bifurcation system
• Stability of regime-switching stochastic differential equations
• Stochastic stability of a gyropendulum under random vertical support excitation
• Asymptotic Analysis of the Lyapunov Exponent and Rotation Number of the Random Oscillator and Applications
• Lyapunov Exponent and Rotation Number of Two-Dimensional Linear Stochastic Systems with Small Diffusion
• Stochastic Stability of Nonlinear Oscillators
• Hopf Bifurcation in the Presence of Both Parametric and External Stochastic Excitations
• Lyapunov Exponents and Stochastic Stability of Coupled Linear Systems Under Real Noise Excitation
• Maximal Lyapunov Exponent and Rotation Number for Stochastically Perturbed Co-dimension Two Bifurcations
• Lyapunov Exponents and Stochastic Stability of Two-Dimensional Parametrically Excited Random Systems
• Sensitivity of pitchfork bifurcation to stochastic perturbation
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