Manifold dynamics and periodic orbits in a multiwell potential

H.I. Alrebdi, Konstantinos E. Papadakis, Juan F. Navarro and Euaggelos E. Zotos

Chaos, Solitons & Fractals, 2022, vol. 160, issue C

Abstract: In this article, we explore the dynamics as well as the geometry of the invariant manifolds that determine the escapes from a multiwell potential. We also present the network of both symmetric and asymmetric solutions of the system, while at the same time we extract valuable information about the periodic solutions, such as their locations, multiplicity, and linear stability.

Keywords: Numerical simulations; Hamiltonian systems; Invariant manifolds; Periodic orbits (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004180

DOI: 10.1016/j.chaos.2022.112208

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