Intermittency route to strange nonchaotic attractors

Prasad, Awadhesh ; Mehra, Vishal ; Ramaswamy, Ramakrishna (1997) Intermittency route to strange nonchaotic attractors Physical Review Letters, 79 (21). pp. 4127-4130. ISSN 0031-9007

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Strange nonchaotic attractors (SNA) arise in quasiperiodically driven systems in the neighborhood of a saddle-node bifurcation whereby a strange attractor is replaced by a periodic (torus) attractor. This transition is accompanied by Type-I intermittency. The largest nontrivial Lyapunov exponent Λ is a good order parameter for this route from chaos to SNA to periodic motion: the signature is distinctive and unlike that for other routes to SNA. In particular, Λ changes sharply at the SNA to torus transition, as does the distribution of finite-time or N-step Lyapunov exponents, P(ΛN).

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:45324
Deposited On:25 Jun 2011 15:13
Last Modified:18 May 2016 01:37

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