Bifurcations and transitions in the quasiperiodically driven logistic map

Negi, Surendra Singh ; Prasad, Awadhesh ; Ramaswamy, Ramakrishna (2000) Bifurcations and transitions in the quasiperiodically driven logistic map Physica D: Nonlinear Phenomena, 145 (1-2). pp. 1-12. ISSN 0167-2789

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/S0167-2789(00)00110-X

Abstract

We discuss several bifurcation phenomena that occur in the quasiperiodically driven logistic map. This system can have strange nonchaotic attractors (SNAs) in addition to chaotic and regular attractors; on SNAs the dynamics is aperiodic, but the largest Lyapunov exponent is nonpositive. There are a number of different transitions that occur here, from periodic attractors to SNAs, from SNAs to chaotic attractors, etc. We describe some of these transitions by examining the behavior of the largest Lyapunov exponent, distributions of finite time Lyapunov exponents and the invariant densities in the phase space.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Quasiperiodically Driven Logistic Map; Strange Nonchaotic Attractors; Lyapunov Exponent
ID Code:45351
Deposited On:28 Jun 2011 04:50
Last Modified:18 May 2016 01:38

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