Finding NHIM in 2 and 3 degrees-of-freedom with H\'enon-Heiles type potential
Dynamical Systems
2019-08-14 v1 Chaotic Dynamics
Classical Physics
Abstract
We present the capability of Lagrangian descriptors for revealing the high dimensional phase space structures that are of interest in nonlinear Hamiltonian systems with index-1 saddle. These phase space structures include normally hyperbolic invariant manifolds and their stable and unstable manifolds, and act as codimenision-1 barriers to phase space transport. The method is applied to classical two and three degrees-of-freedom Hamiltonian systems which have implications for myriad applications in physics and chemistry.
Keywords
Cite
@article{arxiv.1904.10018,
title = {Finding NHIM in 2 and 3 degrees-of-freedom with H\'enon-Heiles type potential},
author = {Shibabrat Naik and Stephen Wiggins},
journal= {arXiv preprint arXiv:1904.10018},
year = {2019}
}
Comments
15 pages, 6 figures. This manuscript is better served as dessert to the main course: arXiv:1903.10264