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 cor- responding 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 nonlineari- ties.

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

SFECCI, Andrea
2012

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 cor- responding 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 nonlineari- ties.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11566/251304
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