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 …

In nonlinear dynamics, basins of attraction link a given set of initial conditions to its
corresponding final states. This notion appears in a broad range of applications where …

The aim of this work is to revise but also explore even further the escape dynamics in the
Hénon–Heiles system. In particular, we conduct a thorough and systematic numerical …

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 …

Trying to imagine three regions separated by a unique boundary seems a difficult task.
However, this is exactly what happens in many dynamical systems showing Wada basins …

We show that the presence of KAM islands in nonhyperbolic chaotic scattering has deep
implications on the unpredictability of open Hamiltonian systems. When the energy of the …

The Hénon–Heiles potential was first proposed as a simplified version of the gravitational
potential experimented by a star in the presence of a galactic center. Currently, this system is …

Basins of attraction take its name from hydrology, and in dynamical systems they refer to the
set of initial conditions that lead to a particular final state. When different final states are …

Fractal structures are very common in the phase space of nonlinear dynamical systems, both
dissipative and conservative, and can be related to the final state uncertainty with respect to …

We provide rigorous computer-assisted proofs of the existence of different dynamical
objects, like stable families of periodic orbits, bifurcations and stable invariant tori around …