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

Diogo Ricardo da Costa, Julia G.S. Rocha, Luam S. de Paiva and Rene O. Medrano-T

Chaos, Solitons & Fractals, 2021, vol. 144, issue C

Abstract: 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.

Keywords: Chaos; Nonlinear dynamics; Mappings; Dissipative systems (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077921000412

DOI: 10.1016/j.chaos.2021.110688

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