Zeros of Melnikov functions for periodically perturbed Hamiltonian systems with random coefficients
Year: 2026
Type: preprint
Abstract: Introducing a probabilistic perspective on a classical theme within the study of chaotic dynamics, we investigate the zeros of the Melnikov distance function associated to a periodically perturbed Hamiltonian system when the perturbation has random coefficients. We provide asymptotic estimates (as the period of the perturbation becomes large or small) for the average number of zeros and for the probability of no zeros.
Source: arXiv (Cornell University)
Authors: Ittayem, Ali, Lundberg, Erik
Institution: Florida Atlantic University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223936489