Multiple periodic solutions for autonomous conservative systems

Silvia Cingolani, Monica Lazzo

DOI: http://dx.doi.org/10.12775/TMNA.1999.026

Abstract


We consider an autonomous conservative second order system defined by
a potential which admits a connected set $\Gamma$ of critical points at level zero.
We prove the existence of multiple periodic solutions of large
period which are located near $\Gamma$.

Keywords


Periodic solutions; singular potentials; winding number

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