Local expansion concepts for detecting transport barriers in dynamical systems

DOI10.1016/j.cnsns.2009.03.018zbMath1221.37163OpenAlexW2070288975MaRDI QIDQ718062

Robert Preis, Bianca Thiere, Michael Dellnitz, Kathrin Padberg-Gehle

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.03.018

zbMATH Keywords

expansiondynamical systemsinvariant manifoldsgraph theorytransport barriersalmost invariant setsset-oriented methods

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Three-body problems (70F07) Simulation of dynamical systems (37M05) Symbolic dynamics (37B10)

Related Items

Eulerian algorithms for computing some Lagrangian flow network quantities, RECURRENCE-BASED TIME SERIES ANALYSIS BY MEANS OF COMPLEX NETWORK METHODS, Time lagged ordinal partition networks for capturing dynamics of continuous dynamical systems, The geometry of chaotic dynamics --- a complex network perspective, Recurrence networks—a novel paradigm for nonlinear time series analysis, Set-Oriented and Finite-Element Study of Coherent Behavior in Rayleigh-Bénard Convection, Finite-time entropy: a probabilistic approach for measuring nonlinear stretching, Network measures of mixing, Catastrophe Pre-Warning of Multi-Modular Floating Platforms with Ordinal Partition Networks

Uses Software

• GAIO
• JOSTLE
• Scotch
• GADS

Cites Work

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