{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,12]],"date-time":"2024-06-12T00:27:48Z","timestamp":1718152068281},"reference-count":37,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2024,8,1]],"date-time":"2024-08-01T00:00:00Z","timestamp":1722470400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2024,8,1]],"date-time":"2024-08-01T00:00:00Z","timestamp":1722470400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2024,8,1]],"date-time":"2024-08-01T00:00:00Z","timestamp":1722470400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2024,8,1]],"date-time":"2024-08-01T00:00:00Z","timestamp":1722470400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2024,8,1]],"date-time":"2024-08-01T00:00:00Z","timestamp":1722470400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2024,8,1]],"date-time":"2024-08-01T00:00:00Z","timestamp":1722470400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2024,8,1]],"date-time":"2024-08-01T00:00:00Z","timestamp":1722470400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Neurocomputing"],"published-print":{"date-parts":[[2024,8]]},"DOI":"10.1016\/j.neucom.2024.127868","type":"journal-article","created":{"date-parts":[[2024,5,18]],"date-time":"2024-05-18T06:27:28Z","timestamp":1716013648000},"page":"127868","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"title":["Coexistence of locally multistable equilibrium points for n<\/mml:mi><\/mml:math>-neuron delayed quaternion-valued neural networks with continuous piecewise nonlinear activation functions"],"prefix":"10.1016","volume":"594","author":[{"given":"Shiv Shankar","family":"Chouhan","sequence":"first","affiliation":[]},{"given":"Subir","family":"Das","sequence":"additional","affiliation":[]},{"given":"Xiaofeng","family":"Chen","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.neucom.2024.127868_b1","doi-asserted-by":"crossref","first-page":"1412","DOI":"10.1016\/j.ins.2022.07.123","article-title":"Multistability analysis of octonion-valued neural networks with time-varying delays","volume":"609","author":"Chouhan","year":"2022","journal-title":"Inform. Sci."},{"key":"10.1016\/j.neucom.2024.127868_b2","doi-asserted-by":"crossref","DOI":"10.1016\/j.advengsoft.2022.103370","article-title":"Solving multi-objective optimization problem of convolutional neural network using fast forward quantum optimization algorithm: Application in digital image classification","volume":"176","author":"Singh","year":"2023","journal-title":"Adv. Eng. Softw."},{"key":"10.1016\/j.neucom.2024.127868_b3","doi-asserted-by":"crossref","DOI":"10.1016\/j.bspc.2022.104176","article-title":"Convolution neural networks for optical coherence tomography (OCT) image classification","volume":"79","author":"Karthik","year":"2023","journal-title":"Biomed. Signal Process. Control"},{"key":"10.1016\/j.neucom.2024.127868_b4","doi-asserted-by":"crossref","DOI":"10.1016\/j.ijleo.2022.170380","article-title":"\u03c6-OTDR pattern recognition based on CNN-LSTM","volume":"272","author":"Wang","year":"2023","journal-title":"Optik"},{"key":"10.1016\/j.neucom.2024.127868_b5","doi-asserted-by":"crossref","DOI":"10.1016\/j.neucom.2023.126499","article-title":"Multistability of switched complex-valued neural networks with state-dependent switching rules","volume":"551","author":"Ou","year":"2023","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2024.127868_b6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.neucom.2022.12.040","article-title":"Multiple exponential stability and instability for state-dependent switched neural networks with time-varying delays and piecewise-linear radial basis activation functions","volume":"524","author":"Wan","year":"2023","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2024.127868_b7","doi-asserted-by":"crossref","DOI":"10.1016\/j.neucom.2023.126586","article-title":"Event-triggered adaptive neural networks tracking control for incommensurate fractional-order nonlinear systems with external disturbance","volume":"554","author":"Cao","year":"2023","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2024.127868_b8","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1016\/j.neucom.2022.08.059","article-title":"Stability analysis of quaternion-valued BAM neural networks fractional-order model with impulses and proportional delays","volume":"509","author":"Mao","year":"2022","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2024.127868_b9","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/j.neucom.2020.12.021","article-title":"Exponential stability analysis for discrete-time quaternion-valued neural networks with leakage delay and discrete time-varying delays","volume":"430","author":"You","year":"2021","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2024.127868_b10","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/j.neucom.2022.12.009","article-title":"Stability of quaternion-valued neutral-type neural networks with leakage delay and proportional delays","volume":"521","author":"Song","year":"2023","journal-title":"Neurocomputing"},{"issue":"7","key":"10.1016\/j.neucom.2024.127868_b11","doi-asserted-by":"crossref","first-page":"867","DOI":"10.1016\/S0893-6080(02)00039-4","article-title":"Global stability of neural networks with distributed delays","volume":"15","author":"Chen","year":"2002","journal-title":"Neural Netw."},{"issue":"5","key":"10.1016\/j.neucom.2024.127868_b12","doi-asserted-by":"crossref","first-page":"3015","DOI":"10.1109\/TSMC.2021.3061971","article-title":"Global exponential stability of impulsive delayed neural networks on time scales based on convex combination method","volume":"52","author":"Wan","year":"2021","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"10.1016\/j.neucom.2024.127868_b13","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1016\/j.neucom.2021.04.043","article-title":"Global asymptotic stability of fractional-order complex-valued neural networks with probabilistic time-varying delays","volume":"450","author":"Chen","year":"2021","journal-title":"Neurocomputing"},{"issue":"4","key":"10.1016\/j.neucom.2024.127868_b14","doi-asserted-by":"crossref","first-page":"1301","DOI":"10.1137\/050632440","article-title":"Multistability in recurrent neural networks","volume":"66","author":"Cheng","year":"2006","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/j.neucom.2024.127868_b15","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1016\/j.amc.2016.08.054","article-title":"Multistability of complex-valued neural networks with time-varying delays","volume":"294","author":"Chen","year":"2017","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.neucom.2024.127868_b16","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1016\/j.neunet.2022.04.015","article-title":"Multistability analysis of delayed recurrent neural networks with a class of piecewise nonlinear activation functions","volume":"152","author":"Liu","year":"2022","journal-title":"Neural Netw."},{"issue":"10","key":"10.1016\/j.neucom.2024.127868_b17","doi-asserted-by":"crossref","first-page":"2279","DOI":"10.1016\/j.cnsns.2007.07.005","article-title":"Multistability of neural networks with discontinuous activation function","volume":"13","author":"Huang","year":"2008","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"issue":"11","key":"10.1016\/j.neucom.2024.127868_b18","doi-asserted-by":"crossref","first-page":"1816","DOI":"10.1109\/TNNLS.2012.2210732","article-title":"Multistability of neural networks with Mexican-hat-type activation functions","volume":"23","author":"Wang","year":"2012","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.neucom.2024.127868_b19","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/j.neunet.2016.08.008","article-title":"Multistability of complex-valued neural networks with discontinuous activation functions","volume":"84","author":"Liang","year":"2016","journal-title":"Neural Netw."},{"key":"10.1016\/j.neucom.2024.127868_b20","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/j.amc.2013.12.027","article-title":"Multistability of complex-valued recurrent neural networks with real-imaginary-type activation functions","volume":"229","author":"Huang","year":"2014","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.neucom.2024.127868_b21","doi-asserted-by":"crossref","first-page":"594","DOI":"10.1016\/j.neucom.2014.08.015","article-title":"Multiple \u03bc-stability analysis of complex-valued neural networks with unbounded time-varying delays","volume":"149","author":"Rakkiyappan","year":"2015","journal-title":"Neurocomputing"},{"issue":"11","key":"10.1016\/j.neucom.2024.127868_b22","doi-asserted-by":"crossref","first-page":"5430","DOI":"10.1109\/TNNLS.2018.2801297","article-title":"Multistability analysis of quaternion-valued neural networks with time delays","volume":"29","author":"Song","year":"2018","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"issue":"3","key":"10.1016\/j.neucom.2024.127868_b23","doi-asserted-by":"crossref","first-page":"3603","DOI":"10.3934\/math.2022199","article-title":"Multi-stability analysis of fractional-order quaternion-valued neural networks with time delay","volume":"7","author":"Kathiresan","year":"2022","journal-title":"AIMS Math."},{"key":"10.1016\/j.neucom.2024.127868_b24","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/j.neucom.2021.03.079","article-title":"Multiple asymptotic stability of fractional-order quaternion-valued neural networks with time-varying delays","volume":"448","author":"Wu","year":"2021","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2024.127868_b25","doi-asserted-by":"crossref","DOI":"10.1016\/j.amc.2021.126092","article-title":"Mutiple \u03c8-type stability of fractional-order quaternion-valued neural networks","volume":"401","author":"Udhayakumar","year":"2021","journal-title":"Appl. Math. Comput."},{"issue":"11","key":"10.1016\/j.neucom.2024.127868_b26","doi-asserted-by":"crossref","first-page":"6569","DOI":"10.1109\/TNNLS.2021.3082560","article-title":"Multistability of switched neural networks with Gaussian activation functions under state-dependent switching","volume":"33","author":"Guo","year":"2021","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.neucom.2024.127868_b27","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1016\/j.matcom.2022.01.021","article-title":"Multistability analysis of state-dependent switched hopfield neural networks with the Gaussian-wavelet-type activation function","volume":"196","author":"Liu","year":"2022","journal-title":"Math. Comput. Simulation"},{"key":"10.1016\/j.neucom.2024.127868_b28","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/j.neucom.2021.05.045","article-title":"Multistability of hopfield neural networks with a designed discontinuous sawtooth-type activation function","volume":"455","author":"Liu","year":"2021","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2024.127868_b29","doi-asserted-by":"crossref","DOI":"10.1016\/j.amc.2023.127849","article-title":"Multistability analysis of quaternion-valued neural networks with cosine activation functions","volume":"445","author":"Yu","year":"2023","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.neucom.2024.127868_b30","doi-asserted-by":"crossref","DOI":"10.1016\/j.neunet.2022.12.013","article-title":"Coexistence and local stability of multiple equilibrium points for fractional-order state-dependent switched competitive neural networks with time-varying delays","author":"Wu","year":"2023","journal-title":"Neural Netw."},{"key":"10.1016\/j.neucom.2024.127868_b31","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/j.neucom.2020.10.011","article-title":"Multistability of delayed neural networks with monotonically nondecreasing linear activation function","volume":"423","author":"Shen","year":"2021","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2024.127868_b32","article-title":"The effects of symmetry breaking on the dynamics of an inertial neural system with a non-monotonic activation function: Theoretical study, asymmetric multistability and experimental investigation","author":"Boya","year":"2022","journal-title":"Phys. A"},{"issue":"2","key":"10.1016\/j.neucom.2024.127868_b33","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1109\/TNN.2004.824272","article-title":"Multistability of discrete-time recurrent neural networks with unsaturating piecewise linear activation functions","volume":"15","author":"Yi","year":"2004","journal-title":"IEEE Trans. Neural Netw."},{"key":"10.1016\/j.neucom.2024.127868_b34","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/j.neunet.2019.10.012","article-title":"Multistability of switched neural networks with sigmoidal activation functions under state-dependent switching","volume":"122","author":"Guo","year":"2020","journal-title":"Neural Netw."},{"key":"10.1016\/j.neucom.2024.127868_b35","doi-asserted-by":"crossref","first-page":"162","DOI":"10.1016\/j.neunet.2021.04.035","article-title":"Multistability and associative memory of neural networks with Morita-like activation functions","volume":"142","author":"Shen","year":"2021","journal-title":"Neural Netw."},{"key":"10.1016\/j.neucom.2024.127868_b36","unstructured":"Shiv Shankar Chouhan, Subir Das, Sunny Singh, Hao Shen, Multiple \u03bc \u03bc-stability analysis of time-varying delayed quaternion-valued neural networks, Math. Methods Appl. Sci.."},{"issue":"9","key":"10.1016\/j.neucom.2024.127868_b37","doi-asserted-by":"crossref","first-page":"1714","DOI":"10.1109\/TNNLS.2013.2280573","article-title":"Threshold complex-valued neural associative memory","volume":"25","author":"Zheng","year":"2013","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."}],"container-title":["Neurocomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925231224006398?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925231224006398?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T11:17:49Z","timestamp":1718104669000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0925231224006398"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,8]]},"references-count":37,"alternative-id":["S0925231224006398"],"URL":"https:\/\/doi.org\/10.1016\/j.neucom.2024.127868","relation":{},"ISSN":["0925-2312"],"issn-type":[{"value":"0925-2312","type":"print"}],"subject":[],"published":{"date-parts":[[2024,8]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Coexistence of locally multistable equilibrium points for -neuron delayed quaternion-valued neural networks with continuous piecewise nonlinear activation functions","name":"articletitle","label":"Article Title"},{"value":"Neurocomputing","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.neucom.2024.127868","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"127868"}}