Title

A UNIFIED BEHOVIOR OF 2-D AND
3-D NONINVERTIBLE MAP

Authors

M. Mammeri
Department of Mathematics
University of Kasdi Merbah
Ouargla, ALGERIA

Abstract

In this paper, the unified behavior for maps with different dimensions is possible from some cases of dynamical systems. This short paper proposes a 2-D noninvertible discrete chaotic map with one bifurcation parameter, and that had only one nonlinear term, and a new 3-D noninvertible discrete chaotic map with twelve bifurcation parameters, and six-nonlinear terms. The two maps they have unified dynamical behavior and can displays same chaotic attractors form same bifurcation parameters and from identical bifurcation route to chaos. This interesting phenomenon is justified by numerical simulation.

History

Received: March 27, 2017
Revised: May 18, 2017
Published: May 23, 2017

AMS Classification, Key Words

AMS Subject Classification: 37C29, 37D45, 37G35
Key Words and Phrases: noninvertible map, dynamical behavior, 2-D and 3-D discrete maps, chaotic attractors

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Bibliography

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3

F. R. Marotto, Chaotic behavior in the Hénon mapping, Comm. Math. Phys. 68 (1979), no. 2, 187-194.

4

M. A. Aziz-Alaoui, C. Robert, and C. Grebogi, Dynamics of a H

How to Cite?

DOI: 10.12732/ijpam.v114i3.16 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 114
Issue: 3
Pages: 611 - 618

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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