Squared sine logistic map

Author(s)

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

• Document type: Journal article
• Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 463, p. 37-44, DEC 1 2016.
• Web of Science Citations: 1

Abstract

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)

• FAPESP's process: 12/23688-5 - Exponents and scaling laws, phase transitions and transport properties of time dependent systems
• Grantee: Edson Denis Leonel
• Support Opportunities: Regular Research Grants
• FAPESP's process: 14/00334-9 - The 7th Chaotic Modeling & Simulation International Conference - CHAOS-2014
• Grantee: Ricardo Egydio de Carvalho
• Support Opportunities: Research Grants - Meeting - Abroad