Existence and exponential stability of almost-periodic solutions for MAM neural network with distributed delays on time scales
This paper is concerned with multidirectional associative memory neural network with distributed delays on almost-periodic time scales. Some sufficient conditions on the existence, uniqueness and the global exponential stability of almost-periodic solutions are established. An example is presented t...
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| Published in | Applied Mathematics-A Journal of Chinese Universities Vol. 36; no. 1; pp. 70 - 82 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Hangzhou
Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
01.03.2021
Springer Nature B.V |
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| Abstract | This paper is concerned with multidirectional associative memory neural network with distributed delays on almost-periodic time scales. Some sufficient conditions on the existence, uniqueness and the global exponential stability of almost-periodic solutions are established. An example is presented to illustrate the feasibility and effectiveness of the obtained results. |
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| AbstractList | This paper is concerned with multidirectional associative memory neural network with distributed delays on almost-periodic time scales. Some sufficient conditions on the existence, uniqueness and the global exponential stability of almost-periodic solutions are established. An example is presented to illustrate the feasibility and effectiveness of the obtained results. Abstract This paper is concerned with multidirectional associative memory neural network with distributed delays on almost-periodic time scales. Some sufficient conditions on the existence, uniqueness and the global exponential stability of almost-periodic solutions are established. An example is presented to illustrate the feasibility and effectiveness of the obtained results. |
| Author | Wang, Qi-ru Lin, Yuan Gao, Jin |
| Author_xml | – sequence: 1 givenname: Jin surname: Gao fullname: Gao, Jin organization: School of Computer Sciences, Shenzhen Institute of Information Technology, School of Mathematics, Sun Yat-sen University – sequence: 2 givenname: Qi-ru surname: Wang fullname: Wang, Qi-ru organization: School of Mathematics, Sun Yat-sen University – sequence: 3 givenname: Yuan surname: Lin fullname: Lin, Yuan email: 229617098@qq.com organization: Department of Public Courses, Shenzhen Institute of Information Technology |
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| Cites_doi | 10.1016/j.jmaa.2004.04.039 10.1109/TCSI.2004.841574 10.1007/s11063-012-9211-7 10.1016/j.matcom.2014.06.004 10.1007/978-0-8176-8230-9 10.1016/S0925-2312(97)00100-8 10.1002/mma.3574 10.1007/978-1-4612-0201-1 10.1016/j.amc.2014.03.051 10.1155/2011/341520 10.1155/2013/592056 10.1155/2011/727068 10.1155/2015/730672 |
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| Keywords | 26E70 time scales 39A24 almost-periodic solutions exponential stability multidirectional associative memory neural networks |
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| References | Cao, Wang (CR4) 2005; 52 Cao, Wang (CR5) 2005; 52 Hagiwara (CR10) 1990; 1 Bohner, Peterson (CR2) 2001 Hattori, Hagiwara (CR11) 1998; 19 Gao, Wang, Lin (CR9) 2016; 39 CR15 CR14 CR13 CR12 Gao, Wang, Zhang (CR8) 2014; 237 Zhou, Wang, Li (CR16) 2015; 107 Anderson, Bullock, Erbe, Peterson, Tran (CR1) 2003; 13 Fink (CR7) 1974 Cao, Liang (CR6) 2004; 296 Zhou, Wang, Long (CR17) 2012; 35 Bohner, Peterson (CR3) 2003 J D Cao (3606_CR4) 2005; 52 J Gao (3606_CR8) 2014; 237 J D Cao (3606_CR5) 2005; 52 3606_CR14 3606_CR15 T J Zhou (3606_CR17) 2012; 35 T J Zhou (3606_CR16) 2015; 107 M Bohner (3606_CR2) 2001 D Anderson (3606_CR1) 2003; 13 M Hagiwara (3606_CR10) 1990; 1 3606_CR12 3606_CR13 M Hattori (3606_CR11) 1998; 19 J D Cao (3606_CR6) 2004; 296 J Gao (3606_CR9) 2016; 39 M Bohner (3606_CR3) 2003 A M Fink (3606_CR7) 1974 |
| References_xml | – volume: 296 start-page: 665 issue: 2 year: 2004 end-page: 685 ident: CR6 article-title: Boundedness and stability for Cohen-Grossberg neural network with time-varying delays publication-title: J Math Anal & App doi: 10.1016/j.jmaa.2004.04.039 contributor: fullname: Liang – volume: 52 start-page: 417 issue: 2 year: 2005 end-page: 426 ident: CR4 article-title: Global asymptotic and robust stability of recurrent neural networks with time delays publication-title: IEEE Trans Circuits Syst I, Reg Papers doi: 10.1109/TCSI.2004.841574 contributor: fullname: Wang – volume: 35 start-page: 187 issue: 2 year: 2012 end-page: 202 ident: CR17 article-title: Existence and exponential stability of multiple periodic solutions for a multidirectional associative memory neural network publication-title: Neural Process Lett doi: 10.1007/s11063-012-9211-7 contributor: fullname: Long – ident: CR14 – ident: CR15 – volume: 107 start-page: 52 issue: C year: 2015 end-page: 60 ident: CR16 article-title: Almost periodic solution for multidirectional associative memory neural network with distributed delays publication-title: Math Comput Simulat doi: 10.1016/j.matcom.2014.06.004 contributor: fullname: Li – year: 2003 ident: CR3 doi: 10.1007/978-0-8176-8230-9 contributor: fullname: Peterson – year: 1974 ident: CR7 article-title: Almost periodic differential equations publication-title: Lecture Notes in Mathematics contributor: fullname: Fink – ident: CR12 – ident: CR13 – volume: 52 start-page: 920 issue: 2 year: 2005 end-page: 931 ident: CR5 article-title: Global exponential stability and periodicity of recurrent neural networks with time delays publication-title: IEEE Trans Circuits Syst I, Reg Papers contributor: fullname: Wang – volume: 1 start-page: 3 year: 1990 end-page: 6 ident: CR10 article-title: Multidirectional associative memory publication-title: Proc Int Joint Conf Neural Netw contributor: fullname: Hagiwara – volume: 237 start-page: 639 year: 2014 end-page: 649 ident: CR8 article-title: Existence and stability of almost-periodic solutions for cellular neural networks with time-varying delays in leakage terms on time scales publication-title: Appl Math Comput contributor: fullname: Zhang – volume: 19 start-page: 99 issue: 1–3 year: 1998 end-page: 119 ident: CR11 article-title: Multimodule associative memory for many-to-many associations publication-title: Neurocomputing doi: 10.1016/S0925-2312(97)00100-8 contributor: fullname: Hagiwara – volume: 13 start-page: 1 issue: 1 year: 2003 end-page: 47 ident: CR1 article-title: Nabla dynamic equations on time scales publication-title: Panamer Mathematics Journal contributor: fullname: Tran – volume: 39 start-page: 1361 issue: 6 year: 2016 end-page: 1375 ident: CR9 article-title: Existence and exponential stability of almost-periodic solutions for neutral BAM neural networks with time-varying delays in leakage terms on time scales publication-title: Math Methods Appl Sci doi: 10.1002/mma.3574 contributor: fullname: Lin – year: 2001 ident: CR2 doi: 10.1007/978-1-4612-0201-1 contributor: fullname: Peterson – volume: 237 start-page: 639 year: 2014 ident: 3606_CR8 publication-title: Appl Math Comput doi: 10.1016/j.amc.2014.03.051 contributor: fullname: J Gao – volume: 39 start-page: 1361 issue: 6 year: 2016 ident: 3606_CR9 publication-title: Math Methods Appl Sci doi: 10.1002/mma.3574 contributor: fullname: J Gao – volume-title: Lecture Notes in Mathematics year: 1974 ident: 3606_CR7 contributor: fullname: A M Fink – ident: 3606_CR14 doi: 10.1155/2011/341520 – volume: 13 start-page: 1 issue: 1 year: 2003 ident: 3606_CR1 publication-title: Panamer Mathematics Journal contributor: fullname: D Anderson – volume: 52 start-page: 417 issue: 2 year: 2005 ident: 3606_CR4 publication-title: IEEE Trans Circuits Syst I, Reg Papers doi: 10.1109/TCSI.2004.841574 contributor: fullname: J D Cao – volume: 19 start-page: 99 issue: 1–3 year: 1998 ident: 3606_CR11 publication-title: Neurocomputing doi: 10.1016/S0925-2312(97)00100-8 contributor: fullname: M Hattori – volume: 296 start-page: 665 issue: 2 year: 2004 ident: 3606_CR6 publication-title: J Math Anal & App doi: 10.1016/j.jmaa.2004.04.039 contributor: fullname: J D Cao – volume: 35 start-page: 187 issue: 2 year: 2012 ident: 3606_CR17 publication-title: Neural Process Lett doi: 10.1007/s11063-012-9211-7 contributor: fullname: T J Zhou – volume-title: Dynamic equations on time Scales: An introduction with applications year: 2001 ident: 3606_CR2 doi: 10.1007/978-1-4612-0201-1 contributor: fullname: M Bohner – volume-title: Advances in dynamic equations on time scales year: 2003 ident: 3606_CR3 doi: 10.1007/978-0-8176-8230-9 contributor: fullname: M Bohner – volume: 52 start-page: 920 issue: 2 year: 2005 ident: 3606_CR5 publication-title: IEEE Trans Circuits Syst I, Reg Papers contributor: fullname: J D Cao – ident: 3606_CR15 doi: 10.1155/2013/592056 – ident: 3606_CR13 doi: 10.1155/2011/727068 – ident: 3606_CR12 doi: 10.1155/2015/730672 – volume: 107 start-page: 52 issue: C year: 2015 ident: 3606_CR16 publication-title: Math Comput Simulat doi: 10.1016/j.matcom.2014.06.004 contributor: fullname: T J Zhou – volume: 1 start-page: 3 year: 1990 ident: 3606_CR10 publication-title: Proc Int Joint Conf Neural Netw contributor: fullname: M Hagiwara |
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| Snippet | This paper is concerned with multidirectional associative memory neural network with distributed delays on almost-periodic time scales. Some sufficient... Abstract This paper is concerned with multidirectional associative memory neural network with distributed delays on almost-periodic time scales. Some... |
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| SubjectTerms | Applications of Mathematics Associative memory Distributed memory Mathematics Mathematics and Statistics Neural networks Stability Time |
| Title | Existence and exponential stability of almost-periodic solutions for MAM neural network with distributed delays on time scales |
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