Periodic Motions for FPU Lattice Systems with Asymptotically Quadratic Potentials
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DOI: 10.1007/s10884-017-9639-6
Abstract: In this paper, we consider the following autonomous Fermi–Pasta–Ulam lattice dynamical system: $$\begin{aligned} \ddot{q}_{i}=\Phi '_{i-1}(q_{i-1}-q_{i})-\Phi '_{i}(q_{i}-q_{i+1}),\qquad i\in \mathbb {Z}, \end{aligned}$$q¨i=Φi-1′(qi-1-qi)-Φi′(qi-qi+1),i∈Z,where $$\Phi _{i}$$Φi denotes the interaction potential between two neighboring particles and $$q_{i}(t)$$qi(t) is the state… read more here.
Keywords: fpu lattice; lattice systems; asymptotically quadratic; periodic motions ... See more keywords