Signs and approximate magnitudes of Lyapunov exponents in continuous time dynamical systems

DOI10.1063/1.532109zbMath0913.34046OpenAlexW1967822690MaRDI QIDQ4370762

Inanç Birol, Avadis Simon Hacinliyan

Publication date: 28 January 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532109

zbMATH Keywords

signsLyapunov exponentscontinuous time dynamical systemsapproximate magnitudes

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Dynamical systems and ergodic theory (37-XX)

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Normal forms and nonlocal chaotic behavior in sprott systems

Cites Work

• Determining Lyapunov exponents from a time series
• Non-integrability of the fourth-order truncated Toda Hamiltonian
• A practical method for calculating largest Lyapunov exponents from small data sets
• An equation for continuous chaos
• Comparison of Different Methods for Computing Lyapunov Exponents
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Liapunov exponents of simple smooth flows
• Deterministic Nonperiodic Flow