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Periodic Solutions to a Ring of Identical Cells With Delay via the Equivariant Degree Method

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  • Shi Yu

Abstract

We investigate the existence and multiplicity of bifurcating solutions in a Hopfield–Cohen–Grossberg network with n identical components and time delays. Applying the equivariant degree method, we derive sufficient conditions guaranteeing periodic solutions and their multiplicities. Two examples are provided to exemplify the theoretical results.

Suggested Citation

  • Shi Yu, 2026. "Periodic Solutions to a Ring of Identical Cells With Delay via the Equivariant Degree Method," International Journal of Differential Equations, Hindawi, vol. 2026, pages 1-12, May.
    • Handle: RePEc:hin:jnijde:2137372
    DOI: 10.1155/ijde/2137372
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