Logistic-like and Gauss coupled maps: The born of period-adding cascades
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Data
2021-03-01
Autores
da Costa, Diogo Ricardo
Rocha, Julia G.S. [UNESP]
de Paiva, Luam S. [UNESP]
Medrano-T, Rene O.
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Resumo
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.
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Chaos, Dissipative systems, Mappings, Nonlinear dynamics
Como citar
Chaos, Solitons and Fractals, v. 144.