Computation of the Lyapunov spectrum for continuous-time dynamical systems and discrete maps

DOI10.1103/PhysRevE.60.6614zbMath1062.37510WikidataQ51641490 ScholiaQ51641490MaRDI QIDQ2771968

Robert D. Ryne, Salman Habib, T. M. Janaki, Govindan Rangarajan

Publication date: 18 February 2002

Published in: Physical Review E (Search for Journal in Brave)

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Dynamical systems with hyperbolic behavior (37D99)

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Invariant norm quantifying nonlinear content of Hamiltonian systems ⋮ Iterative techniques for computing the linearized manifolds of quasiperiodic tori ⋮ Sudden shifts in ecological systems: intermittency and transients in the coupled Ricker population model ⋮ LYAPUNOV EXPONENTS FOR BILINEAR SYSTEMS: APPLICATION TO THE BUCK CONVERTER ⋮ A detailed study of the Wolf's algorithm ⋮ THE COMPUTATION OF LYAPUNOV EXPONENTS FOR PERIODIC TRAJECTORIES ⋮ BIFURCATION AND CHAOS ANALYSIS IN A DISCRETE-DELAY DYNAMIC MODEL FOR A STOCK MARKET

Cites Work

• Determining Lyapunov exponents from a time series
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Comparison of Different Methods for Computing Lyapunov Exponents
• Computing Lyapunov spectra with continuous Gram - Schmidt orthonormalization
• Ergodic theory of chaos and strange attractors

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