Detection of phase space structures of the cat map with Lagrangian descriptors

DOI10.1134/S1560354718060096zbMath1412.37062OpenAlexW2903702747WikidataQ128754682 ScholiaQ128754682MaRDI QIDQ1739560

Víctor J. García-Garrido, Stephen Wiggins, Francisco Balibrea-Iniesta, Carlos Lopesino, Ana Maria Mancho

Publication date: 26 April 2019

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354718060096

zbMATH Keywords

mixingstable and unstable manifoldschaotic setsLagrangian descriptors

Mathematics Subject Classification ID

Related Items (6)

New links between invariant dynamical structures and uncertainty quantification ⋮ An Extension of Discrete Lagrangian Descriptors for Unbounded Maps ⋮ Unveiling the fractal structure of Julia sets with Lagrangian descriptors ⋮ A bridge between invariant dynamical structures and uncertainty quantification ⋮ Bifurcation study on a degenerate double van der Waals cirque potential energy surface using Lagrangian descriptors ⋮ Global dynamics visualisation from Lagrangian descriptors. Applications to discrete and continuous systems

Cites Work

• Lagrangian descriptors: a method for revealing phase space structures of general time dependent dynamical systems
• Chaos detection and predictability
• Lagrangian descriptors for two dimensional, area preserving, autonomous and nonautonomous maps
• A Theoretical Framework for Lagrangian Descriptors
• The Chaotic Saddle in the Lozi Map, Autonomous and Nonautonomous Versions
• Unnamed Item

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