{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T11:30:22Z","timestamp":1742988622483,"version":"3.40.3"},"publisher-location":"Cham","reference-count":24,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030041786"},{"type":"electronic","value":"9783030041793"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-030-04179-3_35","type":"book-chapter","created":{"date-parts":[[2018,11,17]],"date-time":"2018-11-17T07:12:42Z","timestamp":1542438762000},"page":"393-402","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Continuous Attractors of Nonlinear Neural Networks with Asymmetric Connection Weights"],"prefix":"10.1007","author":[{"given":"Jiali","family":"Yu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhang","family":"Yi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chunxiao","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yong","family":"Liao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhixin","family":"Pang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,11,18]]},"reference":[{"key":"35_CR1","first-page":"57","volume":"310","author":"R Zhang","year":"2017","unstructured":"Zhang, R., Zeng, D., Zhong, S.: Event-triggered sampling control for stability and stabilization of memristive neural networks with communication delays. Appl. Math. Comput. 310, 57\u201374 (2017)","journal-title":"Appl. Math. Comput."},{"issue":"8","key":"35_CR2","doi-asserted-by":"publisher","first-page":"1578","DOI":"10.1080\/03081087.2017.1364338","volume":"66","author":"D Li","year":"2018","unstructured":"Li, D., Leng, J., Huang, T., Sun, G.: On sum and stability of G-frames in Hilbert spaces. Linear Multilinear Algebra 66(8), 1578\u20131592 (2018)","journal-title":"Linear Multilinear Algebra"},{"issue":"10","key":"35_CR3","doi-asserted-by":"publisher","first-page":"3088","DOI":"10.1073\/pnas.81.10.3088","volume":"81","author":"JJ Hopfield","year":"1984","unstructured":"Hopfield, J.J.: Neurons with graded response have collective computational properties like those of two-state neurons. Proc. Natl. Acad. Sci. USA 81(10), 3088\u20133092 (1984)","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"35_CR4","doi-asserted-by":"publisher","first-page":"1253","DOI":"10.1016\/S0893-6080(98)00064-1","volume":"11","author":"HS Seung","year":"1998","unstructured":"Seung, H.S.: Continouous attractors and oculomotor control. Neural Netw. 11, 1253\u20131258 (1998)","journal-title":"Neural Netw."},{"issue":"10","key":"35_CR5","doi-asserted-by":"publisher","first-page":"3785","DOI":"10.1016\/j.camwa.2011.09.027","volume":"62","author":"F Xu","year":"2011","unstructured":"Xu, F., Yi, Z.: Continuous attractors of a class of neural networks with a large number of neurons. Comput. Math. Appl. 62(10), 3785\u20133795 (2011)","journal-title":"Comput. Math. Appl."},{"key":"35_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.12688\/f1000research.7387.1","volume":"5","author":"S Wu","year":"2016","unstructured":"Wu, S., Wong, K.Y., Fung, C.C., Mi, Y., Zhang, W.: Continuous attractor neural networks candidate of a canonical model for neural information representation. F1000Research 5, 1\u20139 (2016)","journal-title":"F1000Research"},{"issue":"8","key":"35_CR7","doi-asserted-by":"publisher","first-page":"1077","DOI":"10.1038\/nn.3450","volume":"16","author":"KJ Yoon","year":"2013","unstructured":"Yoon, K.J., Buice, M.A., Barry, C., Hayman, R., Burgess, N., Fiete, I.R.: Specific evidence of low-dimensional continuous attractor dynamics in grid cells. Nature Neurosci. 16(8), 1077\u20131084 (2013)","journal-title":"Nature Neurosci."},{"key":"35_CR8","doi-asserted-by":"publisher","first-page":"494","DOI":"10.1109\/TNN.2009.2039758","volume":"21","author":"Z Yi","year":"2010","unstructured":"Yi, Z.: Foundations of implementing the competitive layer model by Lotka-Volterra recurrent neural networks. IEEE Trans. Neural Networks 21, 494\u2013507 (2010)","journal-title":"IEEE Trans. Neural Networks"},{"key":"35_CR9","doi-asserted-by":"publisher","first-page":"316","DOI":"10.1007\/s11424-016-5078-4","volume":"30","author":"W Shuang","year":"2017","unstructured":"Shuang, W., Lan, S.: Maximum principle for partially-observed optimal control problems of stochastic delay systems. J. Syst. Sci. Complexity 30, 316\u2013328 (2017)","journal-title":"J. Syst. Sci. Complexity"},{"key":"35_CR10","doi-asserted-by":"publisher","first-page":"2112","DOI":"10.1523\/JNEUROSCI.16-06-02112.1996","volume":"16","author":"KC Zhang","year":"1996","unstructured":"Zhang, K.C.: Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: a theory. J. Neurosci. 16, 2112\u20132126 (1996)","journal-title":"J. Neurosci."},{"key":"35_CR11","doi-asserted-by":"publisher","first-page":"2268","DOI":"10.1126\/science.290.5500.2268","volume":"290","author":"HS Seung","year":"2000","unstructured":"Seung, H.S., Lee, D.D.: The manifold ways of perception. Science 290, 2268\u20132269 (2000)","journal-title":"Science"},{"key":"35_CR12","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1016\/S0893-6080(02)00237-X","volume":"16","author":"SM Stringer","year":"2003","unstructured":"Stringer, S.M., Rolls, E.T., Trappenberg, T.P., Araujo, I.E.T.: Self-organizing continuous attractor networks and motor function. Neural Netw. 16, 161\u2013182 (2003)","journal-title":"Neural Netw."},{"key":"35_CR13","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1146\/annurev.ne.12.030189.000341","volume":"12","author":"DA Robinson","year":"1989","unstructured":"Robinson, D.A.: Integrating with neurons. Annu. Rev. Neurosci. 12, 33\u201345 (1989)","journal-title":"Annu. Rev. Neurosci."},{"issue":"8","key":"35_CR14","doi-asserted-by":"publisher","first-page":"775","DOI":"10.1038\/nn893","volume":"5","author":"A Koulakov","year":"2002","unstructured":"Koulakov, A., Raghavachari, S., Kepecs, A., Lisman, J.E.: Model for a robust neural integrator. Nature Neurosci. 5(8), 775\u2013782 (2002)","journal-title":"Nature Neurosci."},{"key":"35_CR15","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1080\/net.13.2.217.242","volume":"13","author":"SM Stringer","year":"2002","unstructured":"Stringer, S.M., Trappenberg, T.P., Rolls, E.T., Araujo, I.E.T.: Self-organizing continuous attractor networks and path integration: one-dimensional models of head direction cells. Network Comput. Neural Syst. 13, 217\u2013242 (2002)","journal-title":"Network Comput. Neural Syst."},{"key":"35_CR16","doi-asserted-by":"publisher","first-page":"5900","DOI":"10.1523\/JNEUROSCI.17-15-05900.1997","volume":"17","author":"A Samsonovich","year":"1997","unstructured":"Samsonovich, A., McNaughton, B.L.: Path integration and cognitive mapping in a continuous attractor neural network model. J. Neurosci. 17, 5900\u20135920 (1997)","journal-title":"J. Neurosci."},{"key":"35_CR17","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1038\/35039062","volume":"1","author":"A Pouget","year":"2000","unstructured":"Pouget, A., Dayan, P., Zemel, R.: Information processing with population codes. Nat. Rev. Neurosci. 1, 125\u2013132 (2000)","journal-title":"Nat. Rev. Neurosci."},{"issue":"4","key":"35_CR18","doi-asserted-by":"publisher","first-page":"994","DOI":"10.1162\/neco.2008.10-06-378","volume":"20","author":"S Wu","year":"2007","unstructured":"Wu, S., Hamaguchi, K., Amari, S.: Dynamics and computation of continuous attractors. Neural Comput. 20(4), 994\u20131025 (2007)","journal-title":"Neural Comput."},{"key":"35_CR19","doi-asserted-by":"publisher","first-page":"1268","DOI":"10.1162\/neco.2006.18.6.1268","volume":"18","author":"P Miller","year":"2006","unstructured":"Miller, P.: Analysis of spike statistics in neuronal systems with continuous attractors or multiple, discrete attractor states. Neural Comput. 18, 1268\u20131317 (2006)","journal-title":"Neural Comput."},{"issue":"22","key":"35_CR20","doi-asserted-by":"publisher","first-page":"6547","DOI":"10.1113\/JP270630","volume":"594","author":"S Oliver","year":"2016","unstructured":"Oliver, S., Lukas, S., Nolan, M.: Continuous attractor network models of grid cell firing based on excitatory-inhibitory Interactions. J. Physiol. 594(22), 6547\u20136557 (2016)","journal-title":"J. Physiol."},{"issue":"17","key":"35_CR21","doi-asserted-by":"publisher","first-page":"2716","DOI":"10.1016\/j.neucom.2010.12.044","volume":"74","author":"L Dehyadegary","year":"2011","unstructured":"Dehyadegary, L., Seyyedsalehi, S., Nejadgholi, I.: Nonlinear enhancement of noisy speech, using continuous attractor dynamics formed in recurrent neural networks. Neurocomputing 74(17), 2716\u20132724 (2011)","journal-title":"Neurocomputing"},{"key":"35_CR22","doi-asserted-by":"publisher","first-page":"368","DOI":"10.1109\/TNN.2008.2010771","volume":"20","author":"J Yu","year":"2009","unstructured":"Yu, J., Yi, Z., Zhang, L.: Representations of continuous attractors of recurrent neural networks. IEEE Trans. Neural Networks. 20, 368\u2013372 (2009)","journal-title":"IEEE Trans. Neural Networks."},{"key":"35_CR23","doi-asserted-by":"publisher","first-page":"452","DOI":"10.1162\/neco.2007.07-06-297","volume":"20","author":"CK Machens","year":"2008","unstructured":"Machens, C.K., Brody, C.D.: Design of continuous attractor networks with monotonic tuning using a symmetry principle. Neural Comput. 20, 452\u2013485 (2008)","journal-title":"Neural Comput."},{"issue":"4","key":"35_CR24","doi-asserted-by":"publisher","first-page":"1075","DOI":"10.7153\/oam-2017-11-74","volume":"11","author":"D Li","year":"2017","unstructured":"Li, D., Leng, J., Huang, T.: Some Properties of G-frames for hilbert space operators. Oper. Matrices 11(4), 1075\u20131085 (2017)","journal-title":"Oper. Matrices"}],"container-title":["Lecture Notes in Computer Science","Neural Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-04179-3_35","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,7]],"date-time":"2024-03-07T15:29:52Z","timestamp":1709825392000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-04179-3_35"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783030041786","9783030041793"],"references-count":24,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-04179-3_35","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2018]]},"assertion":[{"value":"18 November 2018","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICONIP","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Neural Information Processing","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Siem Reap","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Cambodia","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2018","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13 December 2018","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"16 December 2018","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"iconip2018","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/conference.cs.cityu.edu.hk\/iconip\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"575","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"401","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"70% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"4","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"6","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}