On the escaping properties of a multiwell potential

Our main objective is to explore the shape and geometry of the limiting curves of the structures that define the escape properties of a particle from a lobular domain in a multiwell potential. For this purpose, we examine the lower umbilical catastrophe D5, for = 1, by calculating the Lyapunov orbit at the entrance of the lobular region as well as the set of incoming asymptotic trajectories to it and the set of successive intersections of this set with a proper surface of section. © 2024 World Scientific Publishing Company.

Authors
Alrebdi H.I. , Alsaif N.A.M. , Navarro J.F. , Zotos E.E.
Journal
Modern Physics Letters A
Issue number
33-34
Language
English
State
Published
Link
External link
DOI
10.1142/S0217732324501657
Number
2450165
Volume
39
Year
2024
Organizations
  • 1 Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia
  • 2 Department of Applied Mathematics, University of Alicante, Carretera San Vicente del Raspeig s/n, Alicante, 03690, Spain
  • 3 Department of Physics, School of Science, Aristotle University of Thessaloniki, Thessaloniki, 541 24, Greece
  • 4 S.M. Nikolskii Mathematical Institute of the Peoples' Friendship, University of Russia (RUDN University), Moscow, 117198, Russian Federation
Keywords
basins of escape; escape; Multiwell potential; stable and unstable manifolds
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