2023
DOI: 10.1007/s00422-023-00969-6
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Periodic solutions in next generation neural field models

Abstract: We consider a next generation neural field model which describes the dynamics of a network of theta neurons on a ring. For some parameters the network supports stable time-periodic solutions. Using the fact that the dynamics at each spatial location are described by a complex-valued Riccati equation we derive a self-consistency equation that such periodic solutions must satisfy. We determine the stability of these solutions, and present numerical results to illustrate the usefulness of this technique. The gene… Show more

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Cited by 3 publications
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References 61 publications
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