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Intermittency Route to Strange Nonchaotic Attractors

Awadhesh Prasad·Vishal Mehra·Ramakrishna Ramaswamy
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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 $Λ$ 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(Λ_N).

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Awadhesh Prasad, Vishal Mehra, Ramakrishna Ramaswamy. 1997-10-02. Intermittency Route to Strange Nonchaotic Attractors. https://doi.org/10.1103/physrevlett.79.4127

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