Existence and global exponential stability of periodic solution to self-connection BAM neural networks with delays

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Abstract

By using the continuation theorem of Mawhin's coincidence degree theory, Lyapunov functional method and some analytical techniques, some sufficient conditions are obtained ensuring existence and global exponential stability of periodic solution of the self-connection BAM neural networks with periodic coefficients and delays. These results are more effective than the ones in [IEEE Trans. Circuits Systems 50 (2003) 1162] for some neural networks, which has an important leading significance in the designing globally exponentially stable and periodic oscillatory BAM neural networks with self-connection. © 2004 Elsevier B.V. All rights reserved.

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Liu, Z., Chen, A., & Huang, L. (2004). Existence and global exponential stability of periodic solution to self-connection BAM neural networks with delays. Physics Letters, Section A: General, Atomic and Solid State Physics, 328(2–3), 127–143. https://doi.org/10.1016/j.physleta.2004.05.055

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