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Chaotic motions and transition to stochasticity in the classical problem of the heavy rigid body with a fixed point

Хаотические движения и переход к стохастичности в классической проблеме тяжелого жесткого тела с фиксированной точкой

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Il Nuovo Cimento B (1971-1996)

Summary

We give numerical evidence for the existence of chaotic motions and of a transition to stochasticity in the classical problem of a heavy rigid body with a fixed point, by studying a perturbation of the Euler-Poinsot case. This gives also numerical evidence for the non-integrability of this problem.

Riassunto

In questo lavoro si mostra numericamente l’esistenza di moti caotici e di una transizione alla stocasticità nel problema classico del corpo rigido pesante con un punto fisso, studiando una perturbazione del caso di Eulero-Poinsot. In tal modo si dà anche una dimostrazione numerica della non integrabilità di questo problema.

Резюме

Мы приводим численное подтверждение существования хаотических движений и перехода к стохастичности в классической проблеме тяжелого жесткого тела с фиксированной точкой, исследуя возмущение для случая Эйлера-Пуансо. Также приводится численное подтверждение для неинтегрируемости такой проблемы.

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Authors and Affiliations

  1. Istituto di Fisica dell’Università, Milano, Italia

    L. Galgani & A. Giorgilli

  2. Istituto di Matematica dell’Università, Milano, Italia

    L. Galgani & A. Giorgilli

  3. Departement de Mathématiques, Centre Scientifique et Polytechnique, Université de Paris-Nord, 93430, Villetaneuse, France

    J. -M. Strelcyn

Authors
  1. L. Galgani
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  2. A. Giorgilli
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  3. J. -M. Strelcyn
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Galgani, L., Giorgilli, A. & Strelcyn, J.M. Chaotic motions and transition to stochasticity in the classical problem of the heavy rigid body with a fixed point. Nuov Cim B 61, 1–20 (1981). https://doi.org/10.1007/BF02721699

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