4.7 Article

Lyapunov type stability and Lyapunov exponent for exemplary multiplicative dynamical systems

Journal

NONLINEAR DYNAMICS
Volume 54, Issue 4, Pages 345-354

Publisher

SPRINGER
DOI: 10.1007/s11071-008-9333-7

Keywords

Multiplicative calculus; Lyapunov stability; Lyapunov exponent

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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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