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Manifold dynamics and periodic orbits in a multiwell potential

Author

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

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.

Suggested Citation

  • Alrebdi, H.I. & Papadakis, Konstantinos E. & Navarro, Juan F. & Zotos, Euaggelos E., 2022. "Manifold dynamics and periodic orbits in a multiwell potential," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    • Handle: RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004180
    DOI: 10.1016/j.chaos.2022.112208
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    References listed on IDEAS

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    1. Mahato, M.C. & Jayannavar, A.M., 1998. "Some stochastic phenomena in a driven double-well system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(1), pages 138-154.
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