Séminaire des doctorants Orléans
Israa Zogheib: Dynamical behavior of slow fast stochastic mechanical systems.Israa Zogheib (IDP-Orléans)
Thursday 11 September 2025 10:30 - IDP-Orléans - salle de séminaire
Résumé :
We investigate the influence of stochastic perturbations on a slow–fast mechanical system modeled by a Van der Pol oscillator coupled to a nonlinear energy sink. By reducing the dynamics near a saddle–node bifurcation, the problem can be approximated by integrated Brownian motion hitting a moving boundary.
We first study the distribution of the hitting time and of the slow variable y at that moment. Then, we propose an improved approximation of the system and investigate the perturbation of the hitting times together with their distribution.
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