For a classical Hamiltonian system on a torus defined by a time dependent, bounded and analytic potential we establish global and quantitative bounds for the solutions over an exponentially long interval of time by using techniques which go back to Nekhoroshev.
Exponential stability for time dependent potentials / A. Giorgilli, E. Zehnder. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. - ISSN 0044-2275. - 43:5(1992 Sep), pp. 827-855. [10.1007/BF00913410]
Exponential stability for time dependent potentials
A. GiorgilliPrimo
;
1992
Abstract
For a classical Hamiltonian system on a torus defined by a time dependent, bounded and analytic potential we establish global and quantitative bounds for the solutions over an exponentially long interval of time by using techniques which go back to Nekhoroshev.
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