Using rotation number to detect sticky orbits in Hamiltonian systems

DOI10.1063/1.5078533zbMath1427.37045OpenAlexW2941310952WikidataQ91670510 ScholiaQ91670510MaRDI QIDQ5377546

Antônio M. Batista, Ricardo L. Viana, Moises S. Santos, José D. jun. Szezech, Michele Mugnaine, Iberê L. Caldas

Publication date: 24 May 2019

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

Full work available at URL: https://semanticscholar.org/paper/62f103a5a511089716ac1490ed85d6235bf881f1

zbMATH Keywords

chaosstickinessarea-preserving mapsquasiperiodic island

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Rotation numbers and vectors (37E45)

Related Items (4)

Birkhoff averages and rotational invariant circles for area-preserving maps ⋮ Birkhoff averages and the breakdown of invariant tori in volume-preserving maps ⋮ Unpredictability in Hamiltonian systems with a hierarchical phase space ⋮ Chaotic photon orbits and shadows of a non-Kerr object described by the Hartle–Thorne spacetime

Cites Work

• Ulam method for the Chirikov standard map
• Nearly linear mappings and their applications
• Correlations of periodic, area-preserving maps
• Dynamical traps
• Finite-time Lyapunov spectrum for chaotic orbits of non-integrable Hamiltonian systems
• Symplectic maps, variational principles, and transport
• Characterization of stickiness by means of recurrence
• Stickiness and cantori

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