4.7 Article

Manifold dynamics and periodic orbits in a multiwell potential

期刊

CHAOS SOLITONS & FRACTALS
卷 160, 期 -, 页码 -

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2022.112208

关键词

Numerical simulations; Hamiltonian systems; Invariant manifolds; Periodic orbits

资金

  1. Princess Nourah bint Abdulrahman University Researchers Supporting Project [PNURSP2022R106]
  2. Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

向作者/读者索取更多资源

This article explores the dynamics and geometry of the invariant manifolds that determine escapes from a multiwell potential. It presents the network of symmetric and asymmetric solutions of the system, and extracts valuable information about the periodic solutions, such as their locations, multiplicity, and linear stability.
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.(c) 2022 Elsevier Ltd. All rights reserved.

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