We investigate the ability of simple diagnostics based on Lagrangian descriptor (LD)
computations of initially nearby orbits to detect chaos in conservative dynamical systems …

This paper expands the concept of periodic orbit dividing surfaces within rotating
Hamiltonian systems possessing three degrees of freedom. Initially, we detail the …

In this paper, we extend the notion of periodic orbit-dividing surfaces (PODSs) to rotating
Hamiltonian systems with three degrees of freedom. First, we present how to apply our first …

In previous studies, we developed two techniques aimed at expanding the scope of
constructing a periodic orbit dividing surface within a Hamiltonian system with three or more …

The Maslov index of a periodic orbit is an important piece in the semiclassical quantization
of nonintegrable systems, while almost all existing techniques that lead to a rigorous …

In prior studies [,,,,], we introduced two methodologies for constructing Periodic Orbit
Dividing Surfaces (PODS) tailored specifically for Hamiltonian systems with three or more …

In earlier research, we developed two techniques designed to expand the construction of a
periodic orbit dividing surface for Hamiltonian systems with three or more degrees of …

We introduce and demonstrate the usage of the origin-fate map (OFM) as a tool for the
detailed investigation of phase space transport in reactant-product-type systems. For these …

In this work, we numerically investigate the dynamics of conservative dynamical systems
using the method of Lagrangian descriptors (LDs), which has been extensively used to …