A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian systems
From MaRDI portal
Publication:990342
DOI10.1007/s10569-010-9264-8zbMath1291.70062OpenAlexW2094173104MaRDI QIDQ990342
Elena Lega, Claude Froeschlé, Massimilliano Guzzo
Publication date: 31 August 2010
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10569-010-9264-8
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)
Related Items
Some results on the global dynamics of the regularized restricted three-body problem with dissipation ⋮ A numerical study of the stabilization effect of steepness ⋮ The speed of Arnold diffusion ⋮ Chirikov and Nekhoroshev diffusion estimates: bridging the two sides of the river ⋮ First numerical investigation of a conjecture by N. N. Nekhoroshev about stability in quasi-integrable systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the role of high order resonances in normal forms and in separatrix splitting
- Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems
- KAM stability for a three-body problem of the Solar system
- A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems
- On the connection between the Nekhoroshev theorem and Arnold diffusion
- Local and global diffusion in the Arnold web of a priori unstable systems
- A numerical study of Arnold diffusion in a priori unstable systems
- The separation of motions in systems with rapidly rotating phase
- Stability of motions near resonances in quasi-integrable Hamiltonian systems
- The measure of chaos by the numerical analysis of the fundamental frequencies. Applications to the standard mapping
- Nekhoroshev estimates for quasi-convex Hamiltonian systems
- Frequency modified Fourier transform and its application to asteroids
- Construction of a Nekhoroshev like result for the asteroid belt dynamical system
- Exponentially small splitting of separatrices under fast quasiperiodic forcing
- Detection of Arnold diffusion in Hamiltonian systems
- Drift in phase space: A new variational mechanism with optimal diffusion time
- Fast Arnold diffusion in systems with three time scales
- Nekhoroshev stability of quasi-integrable degenerate Hamiltonian systems
- Probing the Nekhoroshev stability of asteroids
- Stability of the planetary three-body problem. II: KAM theory and existence of quasiperiodic motions
- First numerical evidence of global Arnold diffusion in quasi-integrable systems
- Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings
- Invariant tori in the Sun-Jupiter-Saturn system
- Construction of Kolmogorov's normal form for a planetary system
- A formal approximation of the splitting of separatrices in the classical Arnold's example of diffusion with two equal parameters
- KAM stability and celestial mechanics
- Arnold's example with three rotators
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
- Complex analysis and convolution operators
- An approach to arnold's diffusion through the calculus of variations
- SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
- Upper bounds on Arnold diffusion time via Mather theory
