Logistic-like and Gauss coupled maps: The born of period-adding cascades

• Autor(a) principal: da Costa, Diogo Ricardo
• Data de Publicação: 2021
• Outros Autores: Rocha, Julia G.S. [UNESP], de Paiva, Luam S. [UNESP], Medrano-T, Rene O.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1016/j.chaos.2021.110688; http://hdl.handle.net/11449/207164
• topic: Chaos; Dissipative systems; Mappings; Nonlinear dynamics

In this paper we study a logistic-like and Gauss coupled maps to investigate the period-adding phenomenon, where infinite sets of periodicity (p) form a sequence in planar parameter spaces, such that, the periodicity of adjacent elements differ by a same constant (ρ) in the whole sequence (pi+1−pi=ρ). We describe the complete mechanism that form this sequence from a closed domain of isoperiodicity. Changing a control parameter, infinite different periodicities ring-shaped take place in this domain promoting regions of chaoticity. In this environment several complex sets of periodicity arise aligning themselves in sequences of period-adding, which is a common scenario that appears in a great variety of nonlinear dynamical systems. The complete process is unraveled by applying the theory of extreme orbits.