Dynamics of Multimodal Families of m-Modal Maps

Javier Salvador González Salas Bahia Betzavet Cassal Quiroga JOSE TUXPAN VARGAS Eric Campos Cantón (2022)

"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 C R, which is partitioned into non-uniform subdomains, with m E 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 -modal map. Some numerical examples are given according to the developed theory. Some numerical examples are given in accordance with the developed theory."

Artículo

Chaos CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA MATEMÁTICAS MATEMÁTICAS