Lagrangian descriptors and regular motion

DOI10.1016/J.CNSNS.2021.105860zbMath1477.37091OpenAlexW3169695891MaRDI QIDQ2045924

Yanyan Li

Publication date: 16 August 2021

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.2021.105860

zbMATH Keywords

Hénon-Heiles systemfrequency analysisinvariant toriregular motionLagrangian descriptors

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08) Computational methods for invariant manifolds of dynamical systems (37M21)

Related Items (3)

Lagrangian descriptors and the action integral of classical mechanics ⋮ Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map ⋮ Global dynamics visualisation from Lagrangian descriptors. Applications to discrete and continuous systems

Cites Work

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• Regular and chaotic dynamics.
• The application of Lagrangian descriptors to 3D vector fields
• A Theoretical Framework for Lagrangian Descriptors
• Collected Works
• Objective Eulerian coherent structures

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