Differential and Integral Equations

On infinite chains of periodically forced nonlinear oscillators

Alexander Pankov

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In this paper we give a sufficient condition for the existence of a time-periodic solution to an infinite system of undamped periodically forced coupled nonlinear oscillators. As an application we consider the Frenkel--Kontorova model with periodic forcing.

Article information

Differential Integral Equations, Volume 26, Number 7/8 (2013), 721-730.

First available in Project Euclid: 20 May 2013

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34A33: Lattice differential equations 34C25: Periodic solutions


Pankov, Alexander. On infinite chains of periodically forced nonlinear oscillators. Differential Integral Equations 26 (2013), no. 7/8, 721--730. https://projecteuclid.org/euclid.die/1369057814

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