Learning dynamics is at the heart of many important applications of machine learning (ML),
such as robotics and autonomous driving. In these settings, ML algorithms typically need to …

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 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 …

The pendulum-spring system studied using Hamilton equations consists of three
generalized coordinates. The coordinates are the swing angle of the rod, the swing angle of …

The pendulum-spring system was studied by using Hamilton equations of motion. The total
Hamiltonian of this system is complicated because of the complex mechanical system. The …

This project is aimed at using the Hamiltonian Neural Network (HNN) to solve problems in
dynamics, as an alternative to the conventional way of solving systems of partial differential …