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Multiplicity of periodic solutions for weakly coupled parametrized systems with singularities
Electronic Research Archive 2023, 31(6): 3594-3608
Published: 15 June 2023
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We prove the existence of multiple periodic solutions for weakly coupled parametrized systems with a singularity of repulsive type at the origin and linear growth at infinity. The proof is based on a higher dimensional Poincaré-Birkhoff theorem and the phase-plane analysis of the solutions.

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