Stickiness in three-dimensional volume preserving mappings

DOI10.1007/S10569-008-9173-2zbMath1223.70063OpenAlexW1982147196MaRDI QIDQ642254

Li-Yong Zhou, Yi-Sui Sun

Publication date: 26 October 2011

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-008-9173-2

zbMATH Keywords

Hamiltonian systemsstickiness effectsthree dimensional mapping

Mathematics Subject Classification ID

Hamilton's equations (70H05)

Related Items (3)

Some questions looking for answers in dynamical systems ⋮ Chirikov diffusion in the asteroidal three-body resonance \((5, - 2, - 2)\) ⋮ Accelerator modes and anomalous diffusion in 3D volume-preserving maps

Cites Work

• The role of hyperbolic invariant sets in stickiness effects
• Effect of noise on the standard mapping
• Local and global diffusion in the Arnold web of a priori unstable systems
• Correlation properties of dynamical chaos in Hamiltonian systems
• KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow
• Transition spectra of dynamical systems
• Chaotic motion of comets in near-parabolic orbit: Mapping approaches
• Cantori, islands and asymptotic curves in the stickiness region
• Diffusion character in four-dimensional volume-preserving map
• Destruction of islands of stability
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