Co-dimension Two Bifurcations in the Presence of Noise

DOI10.1115/1.2897161zbMath0754.70020OpenAlexW2059789282MaRDI QIDQ4019605

N. Sri Namachchivaya

Publication date: 16 January 1993

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.2897161

zbMATH Keywords

diffusionnormal formstochastic bifurcationsmethod of stochastic averagingsingularly perturbed stochastic differential equations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Random vibrations in mechanics of particles and systems (70L05) Applications of stochastic analysis (to PDEs, etc.) (60H30)

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Weak signal detection based on Mathieu-Duffing oscillator with time-delay feedback and multiplicative noise ⋮ Stability and Bifurcation of a Class of Stochastic Closed Orbit Equations ⋮ Adjoint operator method and normal forms of higher order for nonlinear dynamical system ⋮ Pendulum energy converter excited by random loads ⋮ Stochastic bifurcation ⋮ Probabilistic characteristics of noisy Van der Pol type oscillator with nonlinear damping ⋮ Stochastic bifurcation ⋮ Stability and bifurcation of two-dimensional stochastic differential equations with multiplicative excitations ⋮ Codimension two bifurcations of nonlinear systems driven by fuzzy noise ⋮ Methods of nonlinear random vibration analysis. ⋮ Invariant measure and random attractors for stochastic differential equations with delay

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