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Dynamics of Multimodal Families of m‐Modal Maps

Author

Listed:
  • S. González-Salas
  • B. B. Cassal-Quiroga
  • J. Tuxpan
  • E. Campos

Abstract

In this work, we introduce families of multimodal maps based on logistic map, i.e., families of m‐modal maps are defined on an interval I ⊂ ℝ, which is partitioned into non‐uniform subdomains, with m ∈ ℕ. Because the subdomains of the partition are not uniform, each subdomain contains a unimodal map, given by the logistic map, that can have different heights. Therefore, we give the necessary and sufficient conditions for these modal maps present a multimodal family of m‐modal maps, i.e., a bifurcation parameter can set a unimodal map, a bimodal map, up to a m‐modal map. Some numerical examples are given according to the developed theory. Some numerical examples are given in accordance with the developed theory.

Suggested Citation

  • S. González-Salas & B. B. Cassal-Quiroga & J. Tuxpan & E. Campos, 2022. "Dynamics of Multimodal Families of m‐Modal Maps," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:4340794
    DOI: 10.1155/2022/4340794
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    References listed on IDEAS

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