Slow and fast dynamics in coupled systems: a time series analysis view

DOI10.1016/S0167-2789(97)00300-XzbMath0903.58018arXivchao-dyn/9709014MaRDI QIDQ1265831

G. Boffetta, Angelo Vulpiani, Antonello Provenzale, Francesco Paparella, Andrea Crisanti

Publication date: 5 January 1999

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

Full work available at URL: https://arxiv.org/abs/chao-dyn/9709014

zbMATH Keywords

time seriescomplex dynamical systemsfinite size Ljapunov exponent

Mathematics Subject Classification ID

Ergodic theory (37A99)

Related Items (5)

TESTING CHAOTIC DYNAMICS IN SYSTEMS WITH TWO POSITIVE LYAPUNOV EXPONENTS: A BOOTSTRAP SOLUTION ⋮ Predictability: a way to characterize complexity ⋮ On finite-size Lyapunov exponents in multiscale systems ⋮ Macroscopic chaos in globally coupled maps ⋮ Correlation and spectral properties of a coupled nonlinear dynamical system in the context of numerical weather prediction and climate modeling

Cites Work

• Determining Lyapunov exponents from a time series
• Finite correlation dimension for stochastic systems with power-law spectra
• Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems
• Predictability in the large: an extension of the concept of Lyapunov exponent
• Strong chaos without the butterfly effect in dynamical systems with feedback
• Ergodic theory of chaos and strange attractors
• Deterministic Nonperiodic Flow

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