Detection of Periodic Orbits in Hamiltonian Systems Using Lagrangian Descriptors

DOI10.1142/S021812741750225XzbMath1386.37061OpenAlexW2785584046WikidataQ59425557 ScholiaQ59425557MaRDI QIDQ4602543

Atanasiu Stefan Demian, Stephen Wiggins

Publication date: 31 January 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812741750225x

zbMATH Keywords

periodic solutionHamiltonian systemHénon-Heiles systemLyapunov orbitLagrangian descriptor

Mathematics Subject Classification ID

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Cites Work

• Lagrangian descriptors: a method for revealing phase space structures of general time dependent dynamical systems
• Sensitivity tools vs. Poincaré sections
• On the ultimate behavior of orbits with respect to an unstable critical point. I: Oscillating, asymptotic, and capture orbits
• A Theoretical Framework for Lagrangian Descriptors
• The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
• BIFURCATIONS AND CHAOS IN HAMILTONIAN SYSTEMS
• Coherent structures and the saturation of a nonlinear dynamo

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