Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/27575
Title: Chaos inducement and enhancement in two particular nonlinear MAPS using weak periodic/quasiperiodic perturbations
Authors: Zhang, J
Small, M
Zhang, K
Keywords: Chaos enhancement
Chaos inducement
Periodic intermittency
Periodic perturbation
Two dimensional maps
Issue Date: 2006
Publisher: World Scientific
Source: International journal of bifurcation and chaos in applied sciences and engineering, 2006, v. 16, no. 5, p. 1585-1598 How to cite?
Journal: International journal of bifurcation and chaos in applied sciences and engineering 
Abstract: Weak periodic perturbation has long been used to suppress chaos in dynamical systems. In this paper, however, we demonstrate that weak periodic or quasiperiodic perturbation can also be used to induce chaos in nonchaotic parameter ranges of chaotic maps, or to enhance the already existing chaotic state. Two kinds of chaotic maps, the period doubling system and the Hopf bifurcation system, are employed as basic models to analyze and compare in detail the different mechanisms of inducing and enhancing chaos in them. In addition, a special kind of intermittency characterized by its periodicity is found for the first time in periodically perturbed Henon map, and reasonable speculations are presented to explain its complicated dynamics.
URI: http://hdl.handle.net/10397/27575
ISSN: 0218-1274
EISSN: 1793-6551
DOI: 10.1142/S0218127406015520
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