Lyapunov type stability and Lyapunov exponent for exemplary multiplicative dynamical systems Authors
First Online: 25 January 2008 Received: 27 June 2007 Accepted: 14 January 2008 DOI:
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 calculus Lyapunov stability Lyapunov exponent Download to read the full article text References
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