Hopf bifurcation of compound stochastic van der Pol system

DOI10.1155/2016/4246916zbMath1400.34098OpenAlexW2416054124WikidataQ59131273 ScholiaQ59131273MaRDI QIDQ1793141

Qianling Zhang, Shao-juan Ma

Publication date: 12 October 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/4246916

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Random vibrations in mechanics of particles and systems (70L05) Ordinary differential equations and systems with randomness (34F05)

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Robust L1₁ observer design and circuit implementation for a class of faulty nonlinear systems

Cites Work

• Stochastic Hopf bifurcation analysis in a stochastic lagged logistic discrete-time system with Poisson distribution coefficient
• On the use of empirical orthogonal function (EOF) analysis in the simulation of random fields
• Hopf bifurcation control for stochastic dynamical system with nonlinear random feedback method
• Cumulant neglect closure for nonlinear oscillators under random parametric and external excitations
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Prediction of the response of nonlinear oscillators under stochastic parametric and external excitations
• Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes
• Chebyshev polynomial approximation for dynamical response problem of random system
• On the Karhunen-Loeve expansion for transformed processes
• Response Envelope Statistics for Nonlinear Oscillators With Random Excitation
• Stochastic Dynamics of Structures
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