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Phys. Rev. Lett. 79, 4127–4130 (1997)

Intermittency Route to Strange Nonchaotic Attractors

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Awadhesh Prasad, Vishal Mehra, and Ramakrishna Ramaswamy
School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India

Received 25 April 1997; published in the issue dated 24 November 1997

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).

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.79.4127
DOI:
10.1103/PhysRevLett.79.4127
PACS:
05.45.+b