Lyapunov-type stability and Lyapunov exponent for exemplary multiplicative dynamical systems

DOI10.1007/S11071-008-9333-7zbMath1170.70010OpenAlexW2032139176WikidataQ56601154 ScholiaQ56601154MaRDI QIDQ840509

Dorota Aniszewska, Marek Rybaczuk

Publication date: 11 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-008-9333-7

zbMATH Keywords

chaosmultiplicative Lorenz system

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

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Cites Work

• Multiplicative Runge-Kutta methods
• Determining Lyapunov exponents from a time series
• The concept of physical and fractal dimension. II: The differential calculus in dimensional spaces
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Analysis of the multiplicative Lorenz system
• Stability of motion

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