A new generic physical mechanism of energy transfer is found which is based
on the existence of non-resonant interactions in nonlinear systems. The basic
mechanism consists of a transfer of energy from a "source" triad to a "target"
triad, the triads being connected via two common modes. For the me...
We provide a new proof for the results of Lipton et al. on the
Existence of an approximate Nash equilibrium with logarithmic support size.
Besides its simplicity, the new proof leads to the following contributions:
1. For n-player games, we improve the bound on the size of the support of an
We consider uniformly (DC) or periodically (AC) driven generalized infinite
Elastic chains (a generalized Frenkel-Kontorova model) with gradient dynamics.
We first show that the union of supports of all the invariant measures, denoted
By A, projects injectively to a dynamical system on a 2-dimension...
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