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arXiv · 2510.16073

Periodic solutions of autonomous $S^1$-symmetric Newtonian systems

A. Golebiewska·S. Rybicki·P. Stefaniak
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Abstract

The aim of this paper is to formulate necessary conditions and sufficient ones for the existence of closed connected sets of nonstationary $2 \pi$-periodic solutions of $S^1$-symmetric Newtonian systems in $C_{2 \pi}([0,2\pi],\Omega) \times (0,+ \infty)$. As the main topological tool we apply the degree for equivariant gradient maps.

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A. Golebiewska, S. Rybicki, P. Stefaniak. 2025-10-17. Periodic solutions of autonomous $S^1$-symmetric Newtonian systems. https://arxiv.org/abs/2510.16073

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