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August  2006, 15(3): 951-964. doi: 10.3934/dcds.2006.15.951

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  May 2005 Revised  January 2006 Published  April 2006

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.
Keywords: fixed point index., branches of periodic solutions, Coupled differential equations.
Mathematics Subject Classification: 34C25, 34C4.
Citation: Marco Spadini. Branches of harmonic solutions to periodically perturbed coupled differential equations on manifolds. Discrete & Continuous Dynamical Systems, 2006, 15 (3) : 951-964. doi: 10.3934/dcds.2006.15.951
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