Manifold dynamics and periodic orbits in a multiwell potential

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. © 2022 Elsevier Ltd

Authors
Alrebdi H.I.1 , Papadakis K.E.2 , Navarro J.F.3 , Zotos E.E. 4, 5
Journal
Chaos, Solitons and Fractals
Publisher
Elsevier Ltd
Language
English
Status
Published
Link
External link
DOI
10.1016/J.CHAOS.2022.112208
Number
112208
Volume
160
Year
2022
Organizations
  • 1 Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, 84428, Riyadh, 11671, Saudi Arabia
  • 2 Department of Civil Engineering, Division of Structural Engineering, University of Patras, Patras, GR-26504, Greece
  • 3 Department of Applied Mathematics, University of Alicante, Carretera San Vicente del Raspeig s/n, Alicante, 03690, Spain
  • 4 Department of Physics, School of Science, Aristotle University of Thessaloniki, Thessaloniki, GR-541 24, Greece
  • 5 S.M. Nikolskii Mathematical Institute of the Peoples' Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation
Keywords
Hamiltonian systems; Invariant manifolds; Numerical simulations; Periodic orbits
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