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math.DS2000
Arnold's Diffusion in nearly integrable isochronous Hamiltonian systems
Massimiliano Berti, Philippe Bolle
We consider the problem of Arnold's diffusion for nearly integrable isochronous Hamiltonian systems. We prove a shadowing theorem which improves the known estimates for the diffusi…
math.DS2000
Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium
Massimiliano Berti, Philippe Bolle
We consider autonomous Lagrangian systems with two degrees of freedom, having an hyperbolic equilibrium of saddle-saddle type (that is the eingenvalues of the linearized system abo…
math.DS2000
Diffusion time and splitting of separatrices for nearly integrable isochronous Hamiltonian systems
Massimiliano Berti, Philippe Bolle
We consider the problem of Arnold's diffusion for nearly integrable isochronous Hamiltonian systems. We prove a shadowing theorem which improves the known estimates for the diffusi…