Lyapunov type stability and Lyapunov exponent for exemplary multiplicative dynamical systems
- 133 Downloads
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.
KeywordsMultiplicative calculus Lyapunov stability Lyapunov exponent
Unable to display preview. Download preview PDF.
- 3.Kasprzak, W., Lysik, B., Rybaczuk, M.: Measurements, Dimensions, Invariants Models and Fractals. Ukrainian Society on Fracture Mechanics Publishing House/SPOLOM, Lviv/Wroclaw (2004) Google Scholar
- 4.Volterra, V., Hostinsky, B.: Operations Infinitesimales Lineares. Herman, Paris (1938) Google Scholar