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 …

The coexistence of several stable states for a given set of parameters has been observed in
many natural and experimental systems as well as in theoretical models. This paper gives …

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; …

By using different recent state-of-the-art numerical techniques, such as the OFLI2 chaos
indicator and a systematic search of symmetric periodic orbits, we get an insight into the …

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 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 …

The Copenhagen case of the circular restricted three-body problem with oblate primary
bodies is numerically investigated by exploring the Newton–Raphson basins of …

The dynamics of the planar circular restricted three-body problem with Kerr-like primaries in
the context of a beyond-Newtonian approximation is studied. The beyond-Newtonian …