Branches of harmonic solutions to periodically perturbed coupled  differential equations on manifolds

Marco Spadini

doi:10.3934/dcds.2006.15.951

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2006, Volume 15, Issue 3: 951-964. Doi: 10.3934/dcds.2006.15.951

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Branches of harmonic solutions to periodically perturbed coupled differential equations on manifolds

Marco Spadini^1,

1.
Dipartimento di Matematica Applicata, Via S. Marta 3, 50139 Firenze

Received: April 30, 2005

Revised: December 31, 2005

Published: August 2006

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Abstract

Fixed point index methods are used to explore the structure of the set of harmonic solutions to periodically perturbed coupled differential equations on differentiable manifolds. The results obtained generalize existing theorems for single differential equation by gathering them in an unique framework.

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Mathematics Subject Classification: 34C25, 34C40.

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