Intermittency Route to Strange Nonchaotic Attractors

Abstract

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 $\Lambda$ 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, $\Lambda$ changes sharply at the SNA to torus transition, as does the distribution of finite-time or N--step Lyapunov exponents, P(Λ_N).

4 pages, Revtex, to appear in Phys Rev Lett

References in corpus (2)

• Strange Nonchaotic Attractors in the Quasiperiodically forced Logistic Map
• Synchronization of Strange Nonchaotic Attractors

Cited by in corpus (24)

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• Applicability of 0-1 Test for Strange Nonchaotic Attractors
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