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math.PR2015
Random Perturbations of a Periodically Driven Nonlinear Oscillator: Escape from a resonance zone
Nishanth Lingala, Navaratnam Sri Namachchivaya, Ilya Pavlyukevich
The phase space for a periodically driven nonlinear oscillator consists of many resonance zones. Let the strength of periodic excitation and the strength of the damping be indexed…
math.PR2015
Spectral Analysis of a Discrete Metastable System Driven by Lévy Flights
Toralf Burghoff, Ilya Pavlyukevich
In this paper we consider a finite state time discrete Markov chain that mimics the behaviour of solutions of the stochastic differential equation , where is a…