FRACTALIZATION OF BASIN BOUNDARY IN TWO-DIMENSIONAL NONINVERTIBLE MAPS-Reference-Cited by-同舟云学术

FRACTALIZATION OF BASIN BOUNDARY IN TWO-DIMENSIONAL NONINVERTIBLE MAPS

Published:1999-10 Issue:10 Volume:09 Page:1995-2025
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

CATHALA J. C.¹

Affiliation:

1. Institut Charles Fabry, Université de Provence, Département d'Automatique et de Dynamique non linéaire, C/O I M T – Technopôle de Château Gombert, 13451 Marseille Cedex 20, France

Abstract

Properties of the basins of a two-dimensional noninvertible degenerated map is studied using the method of critical curves. More precisely, this paper considers a cubic map that belongs to the class of maps having the plane subdivided by the branches of the critical curve in three regions, two nonconnected with one preimage, the other with three distinct preimages. The fractalization of the basin of such an endomorphism is described.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127499001450

Reference40 articles.

1. Noninvertibility and the structure of basins of attraction in a model adaptive control system

2. Quelques propriétés des lignes critiques d'une récurrence du second ordre à inverse non unique. Détermination d'une zone absorbante

3. Sur certaines zones absorbantes et zones chaotiques d'un endomorphisme bidimensionnel

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