The transversal homoclinic solutions and chaos for stochastic ordinary differential equations

DOI10.1016/j.jmaa.2013.10.055zbMath1315.60067OpenAlexW1966507229MaRDI QIDQ2019102

Luo Guangping, Zhu Changrong, Liang Juan

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.10.055

zbMATH Keywords

Brownian motionbifurcationLyapunov-Schmidt reductionchaotic behaviorstochastic ordinary differential equationsWiener shifttransversal homoclinic solutions

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) Bifurcation of solutions to ordinary differential equations involving randomness (34F10)

Related Items (3)

Melnikov processes and chaos in randomly perturbed dynamical systems ⋮ Stochastic modeling of nonlinear oscillators under combined Gaussian and Poisson white noise: a viewpoint based on the energy conservation law ⋮ Families of bounded solutions near perturbed homoclinics of R.D.E.s with symmetric eigenvalues, application to retarded power-law oscillations

Cites Work

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