In addition to the striking beauty inherent in their complex nature, fractals have become a
fundamental ingredient of nonlinear dynamics and chaos theory since they were defined in …

There are numerous physical situations in which a hole or leak is introduced in an otherwise
closed chaotic system. The leak can have a natural origin, it can mimic measurement …

The Hénon-Heiles Hamiltonian is investigated in the context of chaotic scattering, in the
range of energies where esca** from the scattering region is possible. Special attention is …

The rapid growth of research in exploiting machine learning to predict chaotic systems has
revived a recent interest in Hamiltonian neural networks (HNNs) with physical constraints …

Classical chaotic scattering is a topic of fundamental interest in nonlinear physics due to the
numerous existing applications in fields such as celestial mechanics, atomic and nuclear …

During the past few years, several papers (Aguirre J., Vallejo JC and Sanjuán MAF, Phys.
Rev. E, 64 (2001) 066208; de Moura APS and Letelier PS, Phys. Lett. A, 256 (1999) 362; …

The case of the planar circular restricted three-body problem where one of the two primaries
is an oblate spheroid is investigated. We conduct a thorough numerical analysis on the …

The nature of open Hamiltonian systems is analyzed, when the size of the exits decreases
and tends to zero. Fractal basins appear typically in open Hamiltonian systems, but we claim …

In order to simulate observational and experimental situations, we consider a leak in the
phase space of a chaotic dynamical system. We obtain an expression for the escape rate of …

The Hénon–Heiles potential is undoubtedly one of the most simple, classical and
characteristic Hamiltonian systems. The aim of this work was to reveal the influence of the …