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Complementary to existing applications of Lagrangian descriptors as anexploratory method, we use Lagrangian descriptors to find invariant manifoldsin a system where some invariant structures have already been identified. Inthis case we use the parametrisation of a periodic orbit to construct aLagrangian descriptor that will be locally minimised on its invariantmanifolds. The procedure is applicable (but not limited) to systems with highlyunstable periodic orbits, such as the isokinetic Chesnavich CH4+ model subjectto a Hamiltonian isokinetic theromostat. Aside from its low computationalrequirements, the method enables us to study the invariant structuresresponsible for roaming in the isokinetic Chesnavich CH4+ model.

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