UNIFIED APPROACH FOR NOISY NONLINEAR MATHIEU-TYPE SYSTEMS

DOI10.1142/S0219493701000217zbMath1039.60036MaRDI QIDQ4460429

Richard B. Sowers, N. Sri Namachchivaya

Publication date: 18 May 2004

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

HamiltonianMarkov processesmartingale problemstochastic averaging

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Random vibrations in mechanics of particles and systems (70L05) Hamilton's equations (70H05) Functional limit theorems; invariance principles (60F17) Random dynamical systems (37H99)

Related Items (5)

A NOISY SYSTEM WITH A FLATTENED HAMILTONIAN AND MULTIPLE TIME SCALES ⋮ Random perturbations of a periodically driven nonlinear oscillator: escape from a resonance zone ⋮ Nonlinear and additive white noise perturbations of linear delay differential equations at the verge of instability: An averaging approach ⋮ A centre-manifold analysis of variable speed machining ⋮ On the stochastic resonance phenomenon in parametrically excited systems

Cites Work

• A stochastic theory of adiabatic invariance
• Random perturbations of nonlinear oscillators
• TOWARD AN UNDERSTANDING OF STOCHASTIC HOPF BIFURCATION
• On differential operators and boundary conditions
• Hopf Bifurcation in the Presence of Both Parametric and External Stochastic Excitations
• Nonlinear periodic convection in double-diffusive systems
• On Stochastic Processes Defined by Differential Equations with a Small Parameter
• Stochastic bifurcation

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