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CRITICAL STRANGE NONCHAOTIC DYNAMICS IN THE FIBONACCI MAP

SANDIP DATTA

School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India

Current address: Department of Chemistry and Biochemistry, VCLA, Los Angeles, CA 90095, USA.

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SURENDRA NEGI

School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India

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RAMAKRISHNA RAMASWAMY

School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India

Current address: School of Natural Sciences, Institute of Advanced Study, Princeton, NJ 08540, USA.

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, and

ULRIKE FEUDEL

Institut für Chemie und Biologie des Meeres, Carl Von Ossietzky Universität, D 26111 Oldenburg, Germany

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https://doi.org/10.1142/S0218127405012600Cited by:2 (Source: Crossref)

Abstract

We study a driven quasiperiodic skew-product dynamical mapping in which orbits with all Lyapunov exponents equal to zero lie on fractal attractors. These form a special category of strange nonchaotic attractors (SNAs), and we describe the scenario for their formation as well as methods for their characterization.

Keywords:

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