Nonlinear Dynamics

, Volume 54, Issue 4, pp 345–354

Lyapunov type stability and Lyapunov exponent for exemplary multiplicative dynamical systems

Authors

    • Institute of Materials Science and Applied MechanicsWroclaw University of Technology
  • Marek Rybaczuk
    • Institute of Materials Science and Applied MechanicsWroclaw University of Technology
Original Paper

DOI: 10.1007/s11071-008-9333-7

Cite this article as:
Aniszewska, D. & Rybaczuk, M. Nonlinear Dyn (2008) 54: 345. doi:10.1007/s11071-008-9333-7

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 calculusLyapunov stabilityLyapunov exponent
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Copyright information

© Springer Science+Business Media B.V. 2008