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• W1995489563 endingPage "033116" @default.
• W1995489563 startingPage "033116" @default.
• W1995489563 abstract "By using the continuation theorem of coincidence degree theory and constructing suitable Lyapunov functions, we study the existence, uniqueness, and global exponential stability of periodic solution for shunting inhibitory cellular neural networks with impulses, dx(ij)dt=-a(ij)x(ij)- summation operator(C(kl)inN(r)(i,j))C(ij) (kl)f(ij)[x(kl)(t)]x(ij)+L(ij)(t), t>0,t not equal t(k); Deltax(ij)(t(k))=x(ij)(t(k) (+))-x(ij)(t(k) (-))=I(k)[x(ij)(t(k))], k=1,2,...] . Furthermore, the numerical simulation shows that our system can occur in many forms of complexities, including periodic oscillation and chaotic strange attractor. To the best of our knowledge, these results have been obtained for the first time. Some researchers have introduced impulses into their models, but analogous results have never been found." @default.
• W1995489563 created "2016-06-24" @default.
• W1995489563 creator A5023819030 @default.
• W1995489563 creator A5042192813 @default.
• W1995489563 date "2006-01-01" @default.
• W1995489563 modified "2023-09-28" @default.
• W1995489563 title "Periodic solution and chaotic strange attractor for shunting inhibitory cellular neural networks with impulses" @default.
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• W1995489563 doi "https://doi.org/10.1063/1.2225418" @default.
• W1995489563 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/17014221" @default.
• W1995489563 hasPublicationYear "2006" @default.
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