Nonlinear modes of vibration

Ivar Ekeland ()
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Ivar Ekeland: University of Paris-Dauphine

Nature, 1998, vol. 395, issue 6698, 116-117

Abstract: Linear systems withn degrees of freedom have nfundamental modes of vibration, which can be combined to produce any possible motion. For nonlinear systems, a few periodic solutions might play a similar role, and it has now been proved that for one broad class of nonlinear system with two degrees of freedom, there must be either two periodic orbits for a given energy, or infinitely many.

Date: 1998
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DOI: 10.1038/25847

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