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most citedOn a class of stochastic differential equations with random and Hölder continuous coefficients arising in biological modeling

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math.PR2019

Stochastic perturbation of a cubic anharmonic oscillator

Enrico Bernardi, Alberto Lanconelli

We perturb with an additive Gaussian white noise the Hamiltonian system associated to a cubic anharmonic oscillator. The stochastic system is assumed to start from initial conditio…