We introduce an analogue to the renormalization theory (of quantum fields) into classical mechanics. We also find an integrability criterion guaranteeing the convergence of Birkhoff's series and an algorithm for modifying the Hamiltonian to fix the frequency spectrum of the quasi-periodic motions. We point out its possible relevance to the transition to chaos.
A criterion of integrability for perturbed harmonic oscillators. Wick ordering in Classical Mechanics / Gallavotti, Giovanni. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 87:(1982), pp. 365-383. [10.1007/BF01206029]
A criterion of integrability for perturbed harmonic oscillators. Wick ordering in Classical Mechanics
GALLAVOTTI, Giovanni
1982
Abstract
We introduce an analogue to the renormalization theory (of quantum fields) into classical mechanics. We also find an integrability criterion guaranteeing the convergence of Birkhoff's series and an algorithm for modifying the Hamiltonian to fix the frequency spectrum of the quasi-periodic motions. We point out its possible relevance to the transition to chaos.File allegati a questo prodotto
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