On the stability of two-dimensional linear stochastic systems

DOI10.2996/kmj/1138847177zbMath0344.60037OpenAlexW2066015717MaRDI QIDQ4113192

Kunio Nishioka

Publication date: 1976

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138847177

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)

Related Items (12)

Almost-sure asymptotic stability of a general four-dimensional system driven by real noise ⋮ Lyapunov exponent and rotation number of a two-dimensional nilpotent stochastic system ⋮ On two bifurcations of a white-noise excited Hopf bifurcation system ⋮ Lyapunov function construction for nonlinear stochastic dynamical systems ⋮ The maximal Lyapunov exponent of a co-dimension two-bifurcation system excited by a bounded noise ⋮ Stochastic bifurcation ⋮ Stochastic bifurcation ⋮ Approximation theorem on stochastic stability ⋮ Probability density and stochastic stability for the coupled Van der Pol oscillator system ⋮ Sensitivity of pitchfork bifurcation to stochastic perturbation ⋮ Stochastic stability of viscoelastic systems under Gaussian and Poisson white noise excitations ⋮ Maximal Lyapunov exponent and rotation numbers for two coupled oscillators driven by real noise

Cites Work

• The parabolic differential equations and the associated semigroups of transformation
• Necessary and Sufficient Conditions for Almost Sure Sample Stability of Linear Ito Equations
• Diffusion Processes in One Dimension
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