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Symbolic and numerical analysis for studying complex nonlinear behavior

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Abstract

Carleman linearization and symbolic compution are used in order to derive explicit solutions in terms of exponential polynomials depending on the parameters and initial conditions. This new method is combined with a numerical algorithm in order to compute the Lyapunov exponents associated with the system. The aim of such an approach is to propose efficient tools in order to determine the intervals of the parameters where chaotic behavior exists.

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Authors and Affiliations

  1. Department of Electrical Engineering, Ecole Nationale d'Ingénieurs de Tunis, BP 37, 1002, Tunis Belvédère, Tunisia

    Safya Belghith

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  1. Safya Belghith
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Belghith, S. Symbolic and numerical analysis for studying complex nonlinear behavior. Numerical Algorithms 20, 51–61 (1999). https://doi.org/10.1023/A:1019183229456

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  • DOI: https://doi.org/10.1023/A:1019183229456

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