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Critical exponents in the transition to chaos in one-dimensional discrete systems

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Abstract

We report the numerically evaluated critical exponents associated with the scaling of generalized fractal dimensions during the transition from order to chaos. The analysis is carried out in detail in the context of unimodal and bimodal maps representing typical one-dimensional discrete dynamical systems. The behavior of Lyapunov exponents (LE) in the cross over region is also studied for a complete characterization.

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Authors and Affiliations

  1. Department of Physics, Maharaja’s College, 682 011, Cochin, India

    G Ambika & N V Sujatha

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  1. G Ambika
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  2. N V Sujatha
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Ambika, G., Sujatha, N.V. Critical exponents in the transition to chaos in one-dimensional discrete systems. Pramana - J Phys 59, 9–18 (2002). https://doi.org/10.1007/s12043-002-0029-0

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  • DOI: https://doi.org/10.1007/s12043-002-0029-0

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