Squared sine logistic map

Autor(es)

Egydio de Carvalho, R. ; Leonel, Edson D.

• Tipo de documento: Artigo Científico
• Fonte: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 463, p. 37-44, DEC 1 2016.
• Citações Web of Science: 1

Resumo

A periodic time perturbation is introduced in the logistic map as an attempt to investigate new scenarios of bifurcations and new mechanisms toward the chaos. With a squared sine perturbation we observe that a point attractor reaches the chaotic attractor without following a cascade of bifurcations. One fixed point of the system presents a new scenario of bifurcations through an infinite sequence of alternating changes of stability. At the bifurcations, the perturbation does not modify the scaling features observed in the convergence toward the stationary state. (C) 2016 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 12/23688-5 - Expoentes e leis de escala, transições de fase e propriedades de transporte em sistemas dependentes do tempo
• Beneficiário: Edson Denis Leonel
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 14/00334-9 - The 7th Chaotic Modeling & Simulation International Conference - CHAOS-2014
• Beneficiário: Ricardo Egydio de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Reunião - Exterior