Local and global diffusion in the Arnold web of a priori unstable systems

DOI10.1007/s10569-008-9152-7zbMath1154.37358OpenAlexW1999088000MaRDI QIDQ1003185

Claude Froeschlé, Elena Lega, Nataša Todorović

Publication date: 27 February 2009

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

Full work available at URL: https://doi.org/10.1007/s10569-008-9152-7

zbMATH Keywords

Hamiltonian systemsDiffusionChaosUnstable systems

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items

The dynamical structure of the MEO region: long-term stability, chaos, and transport, Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings, Dynamic expansion points: an extension to Hadjidemetriou's mapping method, A cartographic study of the phase space of the elliptic restricted three body problem. Application to the Sun-Jupiter-asteroid system, Stickiness in three-dimensional volume preserving mappings, COMPARATIVE STUDY OF VARIATIONAL CHAOS INDICATORS AND ODEs' NUMERICAL INTEGRATORS, A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized Lyapunov characteristic indicators and corresponding Kolmogorov like entropy of the standard mapping
• Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems
• Analysis of the chaotic behaviour of orbits diffusing along the Arnold web
• On the relationship between Lyapunov times and macroscopic instability times
• The Nekhoroshev theorem and the asteroid belt dynamical system
• Construction of a Nekhoroshev like result for the asteroid belt dynamical system
• Fast Lyapunov indicators. Application to asteroidal motion
• Detection of Arnold diffusion in Hamiltonian systems
• Symplectic mapping for Trojan-type motion in the elliptic restricted three-body problem
• Probing the Nekhoroshev stability of asteroids
• First numerical evidence of global Arnold diffusion in quasi-integrable systems
• Diffusion in Hamiltonian Quasi-Integrable Systems
• Invariant spectra of orbits in dynamical systems
• Diffusion and stability in perturbed non-convex integrable systems
• On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool
• On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems