The calculation of Lyapunov spectra

DOI10.1016/0167-2789(87)90076-5zbMath0619.34047OpenAlexW2085125527MaRDI QIDQ1089490

Jin-Soo Kim, John M. Greene

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90076-5

zbMATH Keywords

attractorevolution equationsphase spaceexampleLorenz modelorthogonal matriceschaotic orbits of dynamical systemsturbulent system

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)

Related Items

Exponential decay of power spectra at high frequency and positive Lyapunov exponents, The nonlinear dynamics of the damped and driven Toda chain. II: Fourier and Lyapunov analysis of tori, The singular value decomposition to approximate spectra of dynamical systems. Theoretical aspects, Disorder-induced dynamics in a pair of coupled heterogeneous phase oscillator networks, Attracting Lagrangian coherent structures on Riemannian manifolds, Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps, \(QR\) methods and error analysis for computing Lyapunov and Sacker--Sell spectral intervals for linear differential-algebraic equations, Chaotic behavior of modified stretch-twist-fold (STF) flow with fractal property, Fundamental aspects of curvature indices for characterizing dynamical systems, Derivatives and constraints in chaotic flows: asymptotic behaviour and a numerical method, Computing Lyapunov exponents on a Stiefel manifold, Stretching and curvature of material lines in chaotic flows, Introduction of a metric tensor into linearized evolution equations, Geometrical properties of local dynamics in Hamiltonian systems: the generalized alignment index (GALI) method, SVD algorithms to approximate spectra of dynamical systems, The bootstrap and Lyapunov exponents in deterministic chaos, The steady states of the Kuramoto-Sivashinsky equation, Predicting viscous-range velocity gradient dynamics in large-eddy simulations of turbulence, Optimization of local control of chaos by an evolutionary algorithm, On Taylor series expansion for chaotic nonlinear systems

Cites Work

• Determining Lyapunov exponents from a time series
• The local structure of a chaotic attractor in four dimensions
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Strange attractors and chaotic motions of dynamical systems
• Determining modes and fractal dimension of turbulent flows
• Ergodic theory of chaos and strange attractors
• Unnamed Item
• Unnamed Item