{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,19]],"date-time":"2026-05-19T05:26:59Z","timestamp":1779168419414,"version":"3.51.4"},"reference-count":26,"publisher":"Elsevier BV","issue":"7","license":[{"start":{"date-parts":[[2000,9,1]],"date-time":"2000-09-01T00:00:00Z","timestamp":967766400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Networks"],"published-print":{"date-parts":[[2000,9]]},"DOI":"10.1016\/s0893-6080(00)00047-2","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T17:31:48Z","timestamp":1027618308000},"page":"731-744","source":"Crossref","is-referenced-by-count":84,"title":["Experimental analysis of chaotic neural network models for combinatorial optimization under a unifying framework"],"prefix":"10.1016","volume":"13","author":[{"given":"T.","family":"Kwok","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.A.","family":"Smith","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"6,7","key":"10.1016\/S0893-6080(00)00047-2_BIB1","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1016\/0375-9601(90)90136-C","article-title":"Chaotic neural networks","volume":"144","author":"Aihara","year":"1990","journal-title":"Physics Letters A"},{"key":"10.1016\/S0893-6080(00)00047-2_BIB2","series-title":"Towards the harnessing of chaos","first-page":"83","article-title":"Chaos in neural response and dynamical neural network models: towards a new generation of analog computing","author":"Aihara","year":"1994"},{"key":"10.1016\/S0893-6080(00)00047-2_BIB3","series-title":"Combinatorial optimization with Gaussian machines","volume":"vol. 1","author":"Akiyama","year":"1989"},{"key":"10.1016\/S0893-6080(00)00047-2_BIB4","series-title":"A study of Hopfield neural networks with external noises","volume":"vol. 4","author":"Asai","year":"1995"},{"issue":"6","key":"10.1016\/S0893-6080(00)00047-2_BIB5","doi-asserted-by":"crossref","first-page":"915","DOI":"10.1016\/0893-6080(95)00033-V","article-title":"Chaotic simulated annealing by a neural network model with transient chaos","volume":"8","author":"Chen","year":"1995","journal-title":"Neural Networks"},{"key":"10.1016\/S0893-6080(00)00047-2_BIB6","doi-asserted-by":"crossref","first-page":"286","DOI":"10.1016\/S0167-2789(96)00302-8","article-title":"Chaos and asymptotical stability in discrete-time neural networks","volume":"104","author":"Chen","year":"1997","journal-title":"Physica D"},{"issue":"12","key":"10.1016\/S0893-6080(00)00047-2_BIB7","doi-asserted-by":"crossref","first-page":"2344","DOI":"10.1103\/PhysRevLett.79.2344","article-title":"Combination of chaotic neurodynamics with the 2-opt algorithm to solve traveling salesman problems","volume":"79","author":"Hasegawa","year":"1997","journal-title":"Physical Review Letters"},{"issue":"1","key":"10.1016\/S0893-6080(00)00047-2_BIB8","first-page":"206","article-title":"An analysis on additive effects of nonlinear dynamics for combinatorial optimization","volume":"E80-A","author":"Hasegawa","year":"1997","journal-title":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences"},{"key":"10.1016\/S0893-6080(00)00047-2_BIB9","series-title":"Solving quadratic assignment problems by chaotic neurodynamics","volume":"vol. 1","author":"Hasegawa","year":"1998"},{"issue":"4","key":"10.1016\/S0893-6080(00)00047-2_BIB10","doi-asserted-by":"crossref","first-page":"R2693","DOI":"10.1103\/PhysRevE.51.R2693","article-title":"Effects of the chaotic noise on the performance of neural network model for optimization problems","volume":"51","author":"Hayakawa","year":"1995","journal-title":"Physical Review E"},{"key":"10.1016\/S0893-6080(00)00047-2_BIB11","doi-asserted-by":"crossref","first-page":"3088","DOI":"10.1073\/pnas.81.10.3088","article-title":"Neurons with graded response have collective computational properties like those of two-state neurons","volume":"81","author":"Hopfield","year":"1984","journal-title":"Proceedings of the National Academy of Sciences of the United States of America"},{"key":"10.1016\/S0893-6080(00)00047-2_BIB12","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1007\/BF00339943","article-title":"Neural computation of decisions in optimization problems","volume":"52","author":"Hopfield","year":"1985","journal-title":"Biological Cybernetics"},{"key":"10.1016\/S0893-6080(00)00047-2_BIB13","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1126\/science.220.4598.671","article-title":"Optimisation by simulated annealing","volume":"220","author":"Kirkpatrick","year":"1983","journal-title":"Science"},{"issue":"4","key":"10.1016\/S0893-6080(00)00047-2_BIB14","doi-asserted-by":"crossref","first-page":"978","DOI":"10.1109\/72.774279","article-title":"A unified framework for chaotic neural network approaches to combinatorial optimization","volume":"10","author":"Kwok","year":"1999","journal-title":"IEEE Transactions on Neural Networks"},{"key":"10.1016\/S0893-6080(00)00047-2_BIB15","first-page":"317","article-title":"Solving combinatorial optimization problems by chaotic neural networks","volume":"vol. 8","author":"Kwok","year":"1998"},{"key":"10.1016\/S0893-6080(00)00047-2_BIB16","unstructured":"Kwok, T., Smith, K. & Wang, L., (1998b). Incorporating chaos into the Hopfield neural network for combinatorial optimization. World Multiconference on Systemics, Cybernetics and Informatics, Orlando, vol. 1, (pp. 659\u2013665)."},{"issue":"3","key":"10.1016\/S0893-6080(00)00047-2_BIB17","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1063\/1.165880","article-title":"A neural network model as a globally coupled map and applications based on chaos","volume":"2","author":"Nozawa","year":"1992","journal-title":"Chaos"},{"key":"10.1016\/S0893-6080(00)00047-2_BIB18","series-title":"Solving constraint satisfaction problems with neural networks","volume":"vol. 3","author":"Tagliarini","year":"1987"},{"key":"10.1016\/S0893-6080(00)00047-2_BIB19","series-title":"Design of parallel distributed Cauchy machines","volume":"vol. 1","author":"Takefuji","year":"1989"},{"issue":"9","key":"10.1016\/S0893-6080(00)00047-2_BIB20","doi-asserted-by":"crossref","first-page":"1673","DOI":"10.1016\/S0893-6080(97)00023-3","article-title":"Global bifurcation structure of chaotic neural networks and its application to Travelling Salesman Problems","volume":"10","author":"Tokuda","year":"1997","journal-title":"Neural Networks"},{"issue":"4","key":"10.1016\/S0893-6080(00)00047-2_BIB21","doi-asserted-by":"crossref","first-page":"5157","DOI":"10.1103\/PhysRevE.58.5157","article-title":"Adaptive annealing for chaotic optimization","volume":"58","author":"Tokuda","year":"1998","journal-title":"Physical Review E"},{"issue":"4","key":"10.1016\/S0893-6080(00)00047-2_BIB22","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1109\/72.701185","article-title":"On chaotic simulated annealing","volume":"9","author":"Wang","year":"1998","journal-title":"IEEE Transactions on Neural Networks"},{"issue":"3","key":"10.1016\/S0893-6080(00)00047-2_BIB23","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1063\/1.166335","article-title":"Minireview of stochastic resonance","volume":"8","author":"Wiesenfeld","year":"1998","journal-title":"Chaos"},{"key":"10.1016\/S0893-6080(00)00047-2_BIB24","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1007\/BF00363956","article-title":"On the stability of the TSP algorithm of Hopfield and Tank","volume":"58","author":"Wilson","year":"1988","journal-title":"Biological Cybernetics"},{"key":"10.1016\/S0893-6080(00)00047-2_BIB25","series-title":"Chaotic neural networks and the Travelling Salesman Problem","volume":"vol. 2","author":"Yamada","year":"1993"},{"issue":"5","key":"10.1016\/S0893-6080(00)00047-2_BIB26","first-page":"599","article-title":"A method to combine chaos and neural network based on the fixed point theory","volume":"117-C","author":"Zhou","year":"1997","journal-title":"Transactions of the Institute of Electrical Engineers of Japan"}],"container-title":["Neural Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0893608000000472?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0893608000000472?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,4,11]],"date-time":"2023-04-11T02:44:39Z","timestamp":1681181079000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0893608000000472"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,9]]},"references-count":26,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2000,9]]}},"alternative-id":["S0893608000000472"],"URL":"https:\/\/doi.org\/10.1016\/s0893-6080(00)00047-2","relation":{},"ISSN":["0893-6080"],"issn-type":[{"value":"0893-6080","type":"print"}],"subject":[],"published":{"date-parts":[[2000,9]]}}}