Original Paper

Nonlinear Dynamics

, Volume 54, Issue 4, pp 345-354

First online:

Lyapunov type stability and Lyapunov exponent for exemplary multiplicative dynamical systems

  • Dorota AniszewskaAffiliated withInstitute of Materials Science and Applied Mechanics, Wroclaw University of Technology Email author 
  • , Marek RybaczukAffiliated withInstitute of Materials Science and Applied Mechanics, Wroclaw University of Technology

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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.

Keywords

Multiplicative calculus Lyapunov stability Lyapunov exponent