卑贱 发表于 2025-3-21 18:05:44
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Hopf Meets Hamilton Under Whitney’s Umbrellala. We show that the Hamiltonian case lies on the “handle” of Whitney’s umbrella. This allows us to investigate near-Hamiltonian or weakly dissipative systems that lie in a tubular neigh-borhood of the handle of Whitney’s umbrella.Exuberance 发表于 2025-3-22 05:37:58
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Noise Sensitivity of Stochastic Resonance and Other Problems Related to Large Deviations stochastic resonance are among these problems. We calculate the action functional when the Wiener process is replaced by the random walk, find the relation between the small parameters which provide convergence to the solution of the problem with the Gaussian white noise as the perturbation, and calculate the correction term.legitimate 发表于 2025-3-22 15:37:27
Lyapunov Exponents and Stability for the Stochastic Duffing-Van der Pol Oscillators important for stability properties of the two point motion associated with the original equation. We use stochastic averaging techniques to estimate the value of . in the presence of small noise and small viscous damping.strdulate 发表于 2025-3-22 18:11:23
0925-0042 erstanding of non-linear phenomena. This book provides information on new fundamental results and their applications which are beginning to appear across the entire spectrum of mechanics. .The outstanding points of these proceedings are Coherent compendium of the current state of modelling and analyELATE 发表于 2025-3-22 23:47:40
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Stochastic Averaging Near Homoclinic Orbits Via Singular Perturbationsrturbed test function via a boundary-layer PDE near the homoclinic orbit. Solvability of this PDE is equivalent to the glueing conditions of Freidlin-Wentzell. Details of our calculations will appear elsewhere.