Differential and Integral Equations

Periodic solutions of a system of coupled oscillators with one-sided superlinear retraction forces

Alessandro Fonda and Andrea Sfecci

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

We generalize the phase-plane method approach introduced in [9] to the case of higher dimensions. To this aim, the phase-space is assumed to be decomposable as a product of planes, where the corresponding components of the solutions can be controlled by means of suitable plane curves. We then apply our general result to the periodic problem associated to a system of coupled oscillators, with retraction forces having a linear growth, or with one-sided superlinear nonlinearities.

Article information

Source
Differential Integral Equations, Volume 25, Number 11/12 (2012), 993-1010.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356012248

Mathematical Reviews number (MathSciNet)
MR3013401

Zentralblatt MATH identifier
1274.34125

Subjects
Primary: 34C25: Periodic solutions 34C15: Nonlinear oscillations, coupled oscillators

Citation

Fonda, Alessandro; Sfecci, Andrea. Periodic solutions of a system of coupled oscillators with one-sided superlinear retraction forces. Differential Integral Equations 25 (2012), no. 11/12, 993--1010. https://projecteuclid.org/euclid.die/1356012248


Export citation