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arXiv · 1904.10018

Finding NHIM in 2 and 3 degrees-of-freedom with H\'enon-Heiles type potential

Shibabrat Naik·Stephen Wiggins
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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.

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Shibabrat Naik, Stephen Wiggins. 2019-04-22. Finding NHIM in 2 and 3 degrees-of-freedom with H\'enon-Heiles type potential. https://doi.org/10.1103/physreve.100.022204

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