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- W1966507229 abstract "Abstract We consider the persistence of a transversal homoclinic solution and chaotic motion for ordinary differential equations with a homoclinic solution to a hyperbolic equilibrium under an unbounded random forcing driven by a Brownian force. By Lyapunov–Schmidt reduction, the persistence of transversal homoclinic solution is reduced to find the zeros of some bifurcation functions defined between two finite spaces. It is shown that, for almost all sample paths of the Brownian motion, the perturbed system exhibits chaos." @default.
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- W1966507229 date "2014-04-01" @default.
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- W1966507229 title "The transversal homoclinic solutions and chaos for stochastic ordinary differential equations" @default.
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- W1966507229 doi "https://doi.org/10.1016/j.jmaa.2013.10.055" @default.
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