Arnold's diffusion in isochronous systems

DOI10.1023/A:1009893118532zbMath0936.37031MaRDI QIDQ1301764

Giovanni Gallavotti

Publication date: 22 May 2000

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

KAMArnold's diffusionheteroclinic chainHamiltonian systems with three degrees of freedomhomoclinic splitting

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Global stability of solutions to ordinary differential equations (34D23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

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