THE EFFECT OF WEAK DISSIPATION IN TWO-DIMENSIONAL MAPPING-Reference-Cited by-同舟云学术

THE EFFECT OF WEAK DISSIPATION IN TWO-DIMENSIONAL MAPPING

Published:2012-10 Issue:10 Volume:22 Page:1250248
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

DE OLIVEIRA JULIANO A.¹,LEONEL EDSON D.¹

Affiliation:

1. Departamento de Estatística, Matemática Aplicada e Computação, Instituto de Geociências e Ciências, Exatas, UNESP–Univ. Estadual Paulista, Av.24A, 1515, Bela Vista, CEP: 13506-900 Rio Claro, SP, Brazil

Abstract

The influence of weak dissipation and its consequences in a two-dimensional mapping are studied. The mapping is parametrized by an exponent γ in one of the dynamical variables and by a parameter δ which denotes the amount of the dissipation. It is shown that for different values of γ the structure of the phase space of the nondissipative model is replaced by a large number of attractors. The approach to the attracting fixed point is characterized both analytically and numerically. The attracting fixed point exhibits a very complicated basin of attraction.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127412502483

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