Numerical verification of the steepness of three and four degrees of freedom Hamiltonian systems

DOI10.1134/S1560354715010013zbMath1372.70040MaRDI QIDQ2515223

Gabriella Schirinzi, Massimilliano Guzzo

Publication date: 31 July 2015

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

steepnessNekhoroshev's theoremFermi-Pasta-Ulamthree-body-problem

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (5)

The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems ⋮ Semi-analytical estimates for the orbital stability of Earth's satellites ⋮ On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem ⋮ Nonlinear Stability in the Spatial Attitude Motion of a Satellite in a Circular Orbit ⋮ On steepness of 3-jet non-degenerate functions

Cites Work

• Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems
• Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem
• The Nekhoroshev theorem and the asteroid belt dynamical system
• Near-integrability of periodic FPU-chains
• Aspects of the planetary Birkhoff normal form
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• On the formulation of new explicit conditions for steepness from a former result of N.N. Nekhoroshev
• Stability properties of the Riemann ellipsoids
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