A four-dimensional memristive hyperchaotic system is proposed in this work, implemented in
a circuit and displays complex dynamics in multiple dimensions, making it applicable in …

In this paper, we apply the method of Lagrangian descriptors as an indicator to study the
chaotic and regular behaviors of trajectories in the phase space of the classical double …

In this paper we investigate the use of Machine Learning techniques, specifically Support
Vector Machines (SVMs), to classify chaotic and regular trajectories in Hamiltonian systems …

Lagrangian descriptors (LDs) based on the arc length of orbits previously demonstrated their
utility in delineating structures governing the dynamics. Recently, a chaos indicator based …

We study the phase space of a particle moving in the gravitational field of a rotating black
hole described by the Kerr metric from a geometrical perspective. In particular, we show the …

Abstract The Toda–Brumer–Duff (TBD) is an analytical criterion for estimating the local
exponential rate of divergence between nearby trajectories in dynamical systems, and it is …

In this paper, we explore the application of Machine Learning techniques, specifically
Support Vector Machines (SVM), to unveil the chaotic and regular nature of trajectories in …

We study the phase space of a particle in the gravitational field of a rotating black hole
described by the Kerr metric from a geometrical perceptive. In particular, we show the …

In this work, we analyze the evolution of the phase-space structures of KCN molecular
system as a function of the vibrational energy using Lagrangian descriptors. For low …

In this paper we apply the method of Lagrangian descriptors as an indicator to study the
chaotic and regular behavior of trajectories in the phase space of the classical double …