On finite-size Lyapunov exponents in multiscale systems

DOI10.1063/1.4704805zbMath1331.34091arXiv1204.1999OpenAlexW1991580052WikidataQ47300244 ScholiaQ47300244MaRDI QIDQ2787759

Lewis Mitchell, Georg A. Gottwald

Publication date: 4 March 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1999

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Simulation of dynamical systems (37M05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• The Lorenz attractor is mixing
• Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows
• Slow and fast dynamics in coupled systems: a time series analysis view
• A note on diffusion limits of chaotic skew-product flows
• Error propagation in extended chaotic systems
• Predictability in the large: an extension of the concept of Lyapunov exponent
• The Lorenz attractor exists
• Extracting macroscopic dynamics: model problems and algorithms
• Fixed points, stable manifolds, weather regimes, and their predictability
• Distinct metastable atmospheric regimes despite nearly Gaussian statistics: A paradigm model
• Predictability: a way to characterize complexity

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