八元数值细胞神经网络(μ,ν)-伪概周期解的存在性OA

This paper explored the existence and uniqueness of(μ,ν)-pseudo almost periodic solutions for octonion-valued cellular neural networks with time delays in the connection terms.Since the multiplication of octonion-valued does not satisfy associativity or commutativity,analyzing the dynamic behavior of octonion-valued cellular neural net-works holds significant importance.First,a method independent of system decomposition is proposed to convert the original cellular neural network into an integral equation.Since the space composed of pseudo-almost periodic solu-tions is complete,an appropriate Banach space is established.Second,based on the integral equation,by comprehen-sively using the contraction mapping principle,Lebesgue's dominated convergence theorem,and differential inequa-lity techniques,the existence and uniqueness of the(μ,ν)-pseudo almost periodic solution of the system are proved,and easily verifiable criteria are obtained.Lastly,a numerical simulation is carried out to validate the feasibility of the results.