Proves persistence of most probable KAM tori under multiplicative noise in stochastic Hamiltonian systems and obtains the large-deviation rate function for trajectory deviations.
Persistence of invariant tori on submanifolds in Hamiltonian systems.J
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Quasi-periodic invariant tori persist in stochastic Hamiltonian systems along the most probable path given by the Onsager-Machlup functional, which coincides with the large deviation rate function.
citing papers explorer
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Most Probable KAM Tori in Stochastic Hamiltonian Systems Driven by Multiplicative Noise
Proves persistence of most probable KAM tori under multiplicative noise in stochastic Hamiltonian systems and obtains the large-deviation rate function for trajectory deviations.
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Most Probable KAM Tori in Stochastic Hamiltonian Systems
Quasi-periodic invariant tori persist in stochastic Hamiltonian systems along the most probable path given by the Onsager-Machlup functional, which coincides with the large deviation rate function.