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Numerical investigations on a chain of weakly coupled rotators in the light of classical perturbation theory

Численные исследования на цепочке слабо связанных ротаторов в рамках классической теории возмущений

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Il Nuovo Cimento B (1971-1996)

Summary

In the present paper we study by numerical methods a Hamiltonian model describing a chain of weakly coupled rotators. The existence of local phenomena of ordered and chaotic motions is illustrated and is interpreted, within classical perturbation theory, in terms of resonances.

Riassunto

Si studia con metodi numerici un modello hamiltoniano che descrive una catena di rotatori debolmente accoppiati. Si illustra in particolare come esistano fenomeni locali di moti ordinati e moti caotici e come questi si interpretino, nell’ambito della teoria classica delle perturbazioni, in termini di risonanze.

Резюме

В этой работе с помощью численных методов исследуется модель, описывающая цепочку слабо связанных ротаторов. Показывается и интерпретируется существование локальных явлений упорядоченного и хаотического движений в рамках классической теории возмущений, в термнах резонансов.

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Benettin, G., Galgani, L. & Giorgilli, A. Numerical investigations on a chain of weakly coupled rotators in the light of classical perturbation theory. Nuov Cim B 89, 103–119 (1985). https://doi.org/10.1007/BF02723540

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  • DOI: https://doi.org/10.1007/BF02723540

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