Geodesic
Homoclinic solutions and periodic solutions of complex-valued neural networks with time-varying delays
Filomat, Tome 37 (2023) no. 7, p. 1997

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DOI

In this paper, a class of complex-valued neural networks with time-varying delays is studied. By employing an extension of Mawhin's continuation theorem and an approximation technique, several sufficient conditions of the new results on the existence of homoclinic solutions and periodic solutions are established. Moreover, the asymptotic behavior of solutions via the Lyapunov function is also investigated. Finally, for the purpose of validity, an example is given to illustrate the effectiveness of main results.
DOI : 10.2298/FIL2307997S
Classification : 34C37, 34A60, 93D23
Keywords: Complex-valued neural networks, Homoclinic solution, Periodic solution, Globally asymptotic stability, An extension of Mawhin’s continuation theorem 
Lin Sun; Fanchao Kong. Homoclinic solutions and periodic solutions of complex-valued neural networks with time-varying delays. Filomat, Tome 37 (2023) no. 7, p. 1997 . doi: 10.2298/FIL2307997S
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     author = {Lin Sun and Fanchao Kong},
     title = {Homoclinic solutions and periodic solutions of complex-valued neural networks with time-varying delays},
     journal = {Filomat},
     pages = {1997 },
     year = {2023},
     volume = {37},
     number = {7},
     doi = {10.2298/FIL2307997S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2307997S/}
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