Dynamics of Multimodal Families of m-Modal Maps

S. González-Salas, B. B. Cassal-Quiroga, J. Tuxpan, E. Campos and Lucia Valentina Gambuzza

Complexity, 2022, vol. 2022, 1-13

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⊂℠, 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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:4340794

DOI: 10.1155/2022/4340794

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