Dynamics behavior for second-order neutral Clifford differential equations: inertial neural networks with mixed delays. (English) Zbl 1449.34241
Summary: In this paper, Clifford-valued inertial neutral neural networks with time-varying delays and infinite distributed delay are investigated. With the help of the pseudo almost periodic function theory, Banach’s fixed point theorem, and the differential inequality theory, a set of sufficient conditions that guarantee the existence and the global exponential stability of unique pseudo-almost periodic solutions of Clifford-valued inertial neutral neural networks with mixed delays are established. Our results are new and complement some previously known ones. Moreover, numerical simulations are carried out to illustrate our theoretical results.
MSC:
| 34K14 | Almost and pseudo-almost periodic solutions to functional-differential equations |
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
| 34K40 | Neutral functional-differential equations |
| 34K20 | Stability theory of functional-differential equations |
| 43A60 | Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions |
Keywords:
Clifford-valued neural network; inertial neutral neural networks; pseudo almost periodic solutions; mixed delaysReferences:
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