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We proved necessary and sufficient conditions for the stability of these lifted periodic orbits, in several senses. Here we examine the implications of the resulting theory for chains of neurons, using several standard neuron models: FitzHugh\u2013Nagumo, Morris\u2013Lecar, Hindmarsh\u2013Rose, and Hodgkin\u2013Huxley. We compare different notions of transverse stability, and summarize some numerical simulations showing that for all these neuron models, the propagating signal can be transversely Floquet stable. Finally, we discuss implications for less idealized models.<\/jats:p>","DOI":"10.1142\/s0218127425400036","type":"journal-article","created":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T10:11:16Z","timestamp":1761905476000},"source":"Crossref","is-referenced-by-count":0,"title":["Synchronous Propagation of Periodic Signals in Feedforward Networks of Standard Model Neurons"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3759-0142","authenticated-orcid":false,"given":"Ian","family":"Stewart","sequence":"first","affiliation":[{"name":"Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-8537-0397","authenticated-orcid":false,"given":"David","family":"Wood","sequence":"additional","affiliation":[{"name":"Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK"}]}],"member":"219","published-online":{"date-parts":[[2025,10,30]]},"reference":[{"key":"S0218127425400036BIB001","doi-asserted-by":"publisher","DOI":"10.1023\/B:JCNS.0000037682.18051.5f"},{"key":"S0218127425400036BIB002","first-page":"243","volume":"90","author":"Aertsen A.","year":"1996","journal-title":"J. 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