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Arnol′d Diffusion in a Pendulum Lattice
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DOI：10.1002/cpa.21509.png)
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The main model studied in this paper is a lattice of pendula with a nearest-neighbor coupling. If the coupling is weak, then the system is near-integrable and KAM tori fill most of the phase space. For all KAM trajectories the energy of each pendulum stays within a narrow band for all time. Still, we show that for an arbitrarily weak coupling of a certain localized type, the neighboring pendula can exchange energy. In fact, the energy can be transferred between the pendula in any prescribed way. (c) 2014 Wiley Periodicals, Inc.
Keyword:
UNBOUNDED ENERGY
SYSTEMS
GROWTH
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