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Using Lagrangian descriptors to uncover invariant structures in Chesnavich's Isokinetic Model with application to roaming

Research output: Contribution to journalArticle

Original languageEnglish
JournalInternational Journal of Bifurcation and Chaos
DOIs
DateAccepted/In press - 7 Sep 2019

Abstract

Complementary to existing applications of Lagrangian descriptors as an ex-
ploratory method, we use Lagrangian descriptors to find invariant manifolds in
a system where some invariant structures have already been identified. In this
case we use the parametrisation of a periodic orbit to construct a Lagrangian
descriptor that will be locally minimised on its invariant manifolds. The pro-
cedure is applicable (but not limited) to systems with highly unstable periodic
orbits, such as the isokinetic Chesnavich CH4+ model subject to a Hamiltonian
isokinetic theromostat. Aside from its low computational requirements, the
method enables us to study the invariant structures responsible for roaming in
the isokinetic Chesnavich CH4+
model.

    Research areas

  • phase space structure, invariant manifolds, Lagrangian descriptors, nonholonomic constraint, reaction dynamics, roaming, Hamiltonian system

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