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Lyapunov type stability and Lyapunov exponent for exemplary multiplicative dynamical systems

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Abstract

This paper presents analysis of Lyapunov type stability for multiplicative dynamical systems. It has been formally defined and numerical simulations were performed to explore nonlinear dynamics. Chaotic behavior manifested for exemplary multiplicative dynamical systems has been confirmed by calculated Lyapunov exponent values.

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Authors and Affiliations

  1. Institute of Materials Science and Applied Mechanics, Wroclaw University of Technology, Smoluchowskiego 25, 50-370, Wroclaw, Poland

    Dorota Aniszewska & Marek Rybaczuk

Authors
  1. Dorota Aniszewska
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  2. Marek Rybaczuk
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Correspondence to Dorota Aniszewska.

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Aniszewska, D., Rybaczuk, M. Lyapunov type stability and Lyapunov exponent for exemplary multiplicative dynamical systems. Nonlinear Dyn 54, 345–354 (2008). https://doi.org/10.1007/s11071-008-9333-7

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  • DOI: https://doi.org/10.1007/s11071-008-9333-7

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