{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T20:24:02Z","timestamp":1725567842946},"publisher-location":"Berlin, Heidelberg","reference-count":26,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642165290"},{"type":"electronic","value":"9783642165306"}],"license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010]]},"DOI":"10.1007\/978-3-642-16530-6_7","type":"book-chapter","created":{"date-parts":[[2010,10,26]],"date-time":"2010-10-26T06:39:21Z","timestamp":1288075161000},"page":"49-56","source":"Crossref","is-referenced-by-count":0,"title":["Stability of Equilibrium Solution and Periodical Solution to Cohen-Grossberg Neural Networks"],"prefix":"10.1007","author":[{"given":"Jingsheng","family":"Lei","sequence":"first","affiliation":[]},{"given":"Ping","family":"Yan","sequence":"additional","affiliation":[]},{"given":"Teng","family":"Lv","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"7_CR1","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1109\/TSMC.1983.6313075","volume":"SMC-13","author":"M. Cohen","year":"1983","unstructured":"Cohen, M., Grossberg, S.: Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybernet.\u00a0SMC-13, 15 (1983)","journal-title":"IEEE Trans. Syst. Man Cybernet."},{"key":"7_CR2","doi-asserted-by":"publisher","first-page":"665","DOI":"10.1016\/j.jmaa.2004.04.039","volume":"296","author":"J. Cao","year":"2004","unstructured":"Cao, J., Liang, L.: Boundedness and stability for Coheb-Grossberg neural network with time-varying delays. J. Math. Anal. Appl.\u00a0296, 665\u2013685 (2004)","journal-title":"J. Math. Anal. Appl."},{"key":"7_CR3","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1016\/j.physd.2005.09.005","volume":"212","author":"J. Cao","year":"2005","unstructured":"Cao, J., Li, X.: Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach. Physica D\u00a0212, 54\u201365 (2005)","journal-title":"Physica D"},{"key":"7_CR4","first-page":"421","volume":"24","author":"Z. Chen","year":"2006","unstructured":"Chen, Z., Zhao, H., Ruan, J.: Dynamic analysis of high-order Cohen-Grossberg neural networks with time delay. Chaos Solitons & Fractals\u00a024, 421\u2013430 (2006)","journal-title":"Chaos Solitons & Fractals"},{"key":"7_CR5","doi-asserted-by":"publisher","first-page":"414","DOI":"10.1016\/j.physleta.2006.01.078","volume":"354","author":"H. Jiang","year":"2006","unstructured":"Jiang, H., Cao, J.: Dynamics of Cohen-Grossberg neural networks with time-varying delays. Phys. Lett. A\u00a0354, 414\u2013422 (2006)","journal-title":"Phys. Lett. A"},{"key":"7_CR6","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1109\/TNN.2003.822974","volume":"15","author":"T. Chen","year":"2004","unstructured":"Chen, T., Rong, L.: Robust global exponential stability of Cohen-Grossberg neural networks with time delays. IEEE Trans. Neur. Netw.\u00a015, 203\u2013206 (2004)","journal-title":"IEEE Trans. Neur. Netw."},{"key":"7_CR7","doi-asserted-by":"publisher","first-page":"459","DOI":"10.1016\/S0960-0779(03)00406-5","volume":"20","author":"Y. Li","year":"2004","unstructured":"Li, Y.: Existence and stability of periodic solutions for Cohen-Grossberg neural networks with multiple delays. Chaos Solitons & Fractals\u00a020, 459\u2013466 (2004)","journal-title":"Chaos Solitons & Fractals"},{"key":"7_CR8","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1016\/j.physleta.2003.10.002","volume":"319","author":"C. Hwang","year":"2003","unstructured":"Hwang, C., Cheng, C., Li, T.: Globally exponential stability of generalized Cohen-Grossberg neural networks with time delay. Phys. Lett. A\u00a0319, 157\u2013166 (2003)","journal-title":"Phys. Lett. A"},{"key":"7_CR9","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1016\/j.physleta.2005.12.085","volume":"353","author":"H. Wan","year":"2006","unstructured":"Wan, H., Qiao, H., Peng, J.: Delay-independent criteria for exponential stability generalized Cohen-Grossberg neural networks with dicrete delay. Phys. Lett. A\u00a0353, 151\u2013157 (2006)","journal-title":"Phys. Lett. A"},{"key":"7_CR10","doi-asserted-by":"publisher","first-page":"1401","DOI":"10.1016\/j.neunet.2004.08.007","volume":"17","author":"X. Liao","year":"2004","unstructured":"Liao, X., Li, C., Wong, K.: Criteria for exponential stability of Cohen-Grossberg neural networks. Neural Networks\u00a017, 1401\u20131414 (2004)","journal-title":"Neural Networks"},{"key":"7_CR11","doi-asserted-by":"publisher","first-page":"433","DOI":"10.1016\/j.neucom.2004.08.004","volume":"64","author":"W. Xiong","year":"2005","unstructured":"Xiong, W., Xu, D.: Global exponential stability of discrete-time Cohen-Grossberg neural networks. Neurocomputing\u00a064, 433\u2013446 (2005)","journal-title":"Neurocomputing"},{"key":"7_CR12","doi-asserted-by":"publisher","first-page":"1729","DOI":"10.1016\/S0898-1221(03)00151-2","volume":"45","author":"J. Xu","year":"2003","unstructured":"Xu, J., Liu, Z., Liao, X.: Global asymptotic stability of high-order Hopfield type neural networks with time delays. Comp. Math. Appl.\u00a045, 1729\u20131737 (2003)","journal-title":"Comp. Math. Appl."},{"key":"7_CR13","doi-asserted-by":"crossref","first-page":"741","DOI":"10.1109\/IITA.2008.19","volume-title":"Proccedings of Second International Symposium on Intelligent Information Technology Application","author":"P. Yan","year":"2008","unstructured":"Yan, P., Lv, T.: Stability of delayed reaction diffusion high-order Cohen-Grossberg neural networks with variable coefficient. In: Proccedings of Second International Symposium on Intelligent Information Technology Application, vol.\u00a01, pp. 741\u2013745. IEEE Computer Society Press, Los Alamitos (2008)"},{"key":"7_CR14","series-title":"Lecture Notes in Computer Science","first-page":"745","volume-title":"Advances in Neural Networks \u2013 ISNN 2004","author":"K. Yuan","year":"2004","unstructured":"Yuan, K., Cao, J.: Global exponential stability of Cohen-Grossberg neural networks with multiple time-varying delays. In: Yin, F.-L., Wang, J., Guo, C. (eds.) ISNN 2004. LNCS, vol.\u00a03173, pp. 745\u2013753. Springer, Heidelberg (2004)"},{"key":"7_CR15","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1016\/j.physleta.2005.02.005","volume":"338","author":"J. Zhang","year":"2005","unstructured":"Zhang, J., Suda, Y., Komine, H.: Global exponential Stability of Cohen-Grossberg neural networks with variable delays. Phys. Lett. A\u00a0338, 44\u201350 (2005)","journal-title":"Phys. Lett. A"},{"key":"7_CR16","doi-asserted-by":"publisher","first-page":"536","DOI":"10.1016\/j.neucom.2005.11.009","volume":"70","author":"H. Zhao","year":"2006","unstructured":"Zhao, H., Wang, K.: Dynamical behaviors of Cohen-Grossberg neural networks with delays and reaction-diffusion terms. Neurocomputing\u00a070, 536\u2013543 (2006)","journal-title":"Neurocomputing"},{"key":"7_CR17","doi-asserted-by":"publisher","first-page":"436","DOI":"10.1016\/j.physleta.2003.08.066","volume":"317","author":"T. Chen","year":"2003","unstructured":"Chen, T., Rong, L.: Delay-independent stability analysis of Cohen-Grossberg neural networks. Phys. Lett. A\u00a0317, 436\u2013449 (2003)","journal-title":"Phys. Lett. A"},{"key":"7_CR18","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1016\/j.physd.2004.09.012","volume":"199","author":"J. Cao","year":"2004","unstructured":"Cao, J., Liang, L., Lamb, J.: Exponential Stability of high-order bidirectional associative memory neural networks with time delays. Physica D\u00a0199, 425\u2013436 (2004)","journal-title":"Physica D"},{"key":"7_CR19","doi-asserted-by":"publisher","first-page":"434","DOI":"10.1016\/S0375-9601(03)00945-9","volume":"314","author":"J. Liang","year":"2003","unstructured":"Liang, J., Cao, J.: Global exponential Stability of reaction-diffusion recurrent neural networks with time-varying delays. Phys. Lett. A\u00a0314, 434\u2013442 (2003)","journal-title":"Phys. Lett. A"},{"key":"7_CR20","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1016\/j.chaos.2004.04.011","volume":"23","author":"Q. Song","year":"2005","unstructured":"Song, Q., Cao, J.: Global exponential Stability and existence of periodic solutions in BAM neural networks with distributed delays and reaction-diffusion terms. Chaos Solitons & Fractals\u00a023, 421\u2013430 (2005)","journal-title":"Chaos Solitons & Fractals"},{"key":"7_CR21","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1016\/j.physleta.2004.12.007","volume":"335","author":"Q. Song","year":"2005","unstructured":"Song, Q., Zhao, Z., Li, Y.: Global exponential Stability of BAM neural networks with distributed delays and reaction-diffusion terms. Phys. Lett. A\u00a0335, 213\u2013225 (2005)","journal-title":"Phys. Lett. A"},{"key":"7_CR22","first-page":"421","volume":"7","author":"Q. Song","year":"2006","unstructured":"Song, Q., Cao, J., Zhao, Z.: Periodic solutions and its exponential stability of reaction-diffusion recurrent neural netwokes with continuously distributed delays. Nonlinear Anal: Real World Appl.\u00a07, 421\u2013430 (2006)","journal-title":"Nonlinear Anal: Real World Appl."},{"key":"7_CR23","doi-asserted-by":"publisher","first-page":"372","DOI":"10.1016\/j.physleta.2005.05.098","volume":"343","author":"H. Zhao","year":"2005","unstructured":"Zhao, H., Wang, G.: Existence of periodic oscillatory solution of reaction-diffusion neural networks with delays. Phys. Lett. A\u00a0343, 372\u2013383 (2005)","journal-title":"Phys. Lett. A"},{"key":"7_CR24","doi-asserted-by":"publisher","first-page":"116","DOI":"10.1016\/j.chaos.2007.05.002","volume":"35","author":"G. Lu","year":"2008","unstructured":"Lu, G.: Global exponential Stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet Boundary conditons. Chaos Solitons & Fractals\u00a035, 116\u2013125 (2008)","journal-title":"Chaos Solitons & Fractals"},{"key":"7_CR25","doi-asserted-by":"publisher","first-page":"615","DOI":"10.1038\/370615a0","volume":"370","author":"S. Schiff","year":"1994","unstructured":"Schiff, S., Jerger, K., Duong, D., et al.: Controlling chaos in the brain. Nature\u00a0370, 615\u2013620 (1994)","journal-title":"Nature"},{"key":"7_CR26","doi-asserted-by":"publisher","first-page":"1535","DOI":"10.1016\/S0960-0779(00)00132-6","volume":"12","author":"X. Liao","year":"2001","unstructured":"Liao, X., Wong, K., Leung, C., et al.: Hopf bifurcation and chaos in a single delayed neuron equation with non monotonic activation function. Chaos Solitons & Fractals\u00a012, 1535\u20131547 (2001)","journal-title":"Chaos Solitons & Fractals"}],"container-title":["Lecture Notes in Computer Science","Artificial Intelligence and Computational Intelligence"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-16530-6_7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,21]],"date-time":"2019-03-21T21:37:56Z","timestamp":1553204276000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-16530-6_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"ISBN":["9783642165290","9783642165306"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-16530-6_7","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2010]]}}}