Modified Lyapunov exponent, new measure of dynamics

DOI10.1007/s11071-014-1621-9zbMath1331.37035OpenAlexW2124609747MaRDI QIDQ494838

Sobhan Sadri, Christine Qiong Wu

Publication date: 2 September 2015

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

Full work available at URL: https://doi.org/10.1007/s11071-014-1621-9

zbMATH Keywords

Lyapunov exponentsnonlinear dynamic systemsdisturbance vectormodified Lyapunov exponent

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Bifurcations and instability for nonlinear problems in mechanics (70K50) Simulation of dynamical systems (37M05) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

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Cites Work

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• Lyapunov-type stability and Lyapunov exponent for exemplary multiplicative dynamical systems
• Stability analysis and Lyapunov exponents of a multi-body mechanical system with rigid unilateral constraints
• Determining Lyapunov exponents from a time series
• Ergodic theory of differentiable dynamical systems
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Non-smooth dynamical systems
• On stability analysis via Lyapunov exponents calculated from a time series using nonlinear mapping-a case study
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Scaling and interleaving of subsystem Lyapunov exponents for spatio-temporal systems
• Ergodic theory of chaos and strange attractors
• On the chaotic rotation of planetary satellites: The Lyapunov spectra and the maximum Lyapunov exponents
• Stability analysis via the concept of Lyapunov exponents: a case study in optimal controlled biped standing
• Synchronization in chaotic systems
• Operator Theoretic Aspects of Ergodic Theory