Differential and Integral Equations

On infinite chains of periodically forced nonlinear oscillators

Alexander Pankov

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Abstract

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

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

Dates
First available in Project Euclid: 20 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1369057814

Mathematical Reviews number (MathSciNet)
MR3098984

Zentralblatt MATH identifier
1299.34043

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

Citation

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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