Intermittency Route to Strange Nonchaotic Attractors

نویسندگان

  • Awadhesh Prasad
  • Vishal Mehra
  • Ramakrishna Ramaswamy
چکیده

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 ). Typeset using REVTEX

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تاریخ انتشار 2008