Analyse
Le chaos hamiltonien est illustré par le régime stochastique d’un moteur synchrone dipolaire. Ce régime s’explique au moyen d’un hamiltonien trés simple dont un cas limite particulier décrit le mouvement du pendule non linéaire. La structure de l’espace des phases, telle que la révèle un éclairage stroboscopique repose sur l’emboitement de résonances et l’enchevêtrement de variétés stables et instables.
Abstract
Hamiltonian chaos is illustrated through the chaotic regime of a synchronous dipolar motor. This regime is explained with a quite simple Hamiltonian which describes the nonlinear pendulum in a particular limiting case. Phase space structure as revealed by a stroboscope relies upon the nesting of resonances and the tangle of stable and unstable manifolds.
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Escande, D. Chaos hamiltonien. Ann. Telecommun. 42, 210–216 (1987). https://doi.org/10.1007/BF02995240
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DOI: https://doi.org/10.1007/BF02995240