{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,14]],"date-time":"2026-04-14T22:47:39Z","timestamp":1776206859096,"version":"3.50.1"},"reference-count":19,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[2002,1,1]],"date-time":"2002-01-01T00:00:00Z","timestamp":1009843200000},"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":["Mathematics and Computers in Simulation"],"published-print":{"date-parts":[[2002,1]]},"DOI":"10.1016\/s0378-4754(01)00347-0","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T06:16:36Z","timestamp":1027577796000},"page":"133-146","source":"Crossref","is-referenced-by-count":142,"title":["Complex dynamics and synchronization of a duopoly game with bounded rationality"],"prefix":"10.1016","volume":"58","author":[{"given":"H.N.","family":"Agiza","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.S.","family":"Hegazi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.A.","family":"Elsadany","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0378-4754(01)00347-0_BIB1","doi-asserted-by":"crossref","unstructured":"R. Abraham, L. Gardini, C. Mira, Chaos in Discrete Dynamical Systems: A Visual Introduction Two-Dimension, Springer, Berlin, 1997.","DOI":"10.1007\/978-1-4612-1936-1"},{"key":"10.1016\/S0378-4754(01)00347-0_BIB2","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/S0378-4754(99)00106-8","article-title":"Multistability in a dynamic Cournot game with three oligopolists","volume":"51","author":"Agiza","year":"1999","journal-title":"Math. Comput. Simul."},{"key":"10.1016\/S0378-4754(01)00347-0_BIB3","doi-asserted-by":"crossref","unstructured":"H.N. Agiza, A.S. Hegazi, A.A. Elsadany, The dynamics of Bowley\u2019s model with bounded rationality, Chaos Solitons and Fraclals 12 (9) (2001) 1705\u20131717.","DOI":"10.1016\/S0960-0779(00)00021-7"},{"issue":"7","key":"10.1016\/S0378-4754(01)00347-0_BIB4","doi-asserted-by":"crossref","first-page":"1025","DOI":"10.1016\/S0960-0779(98)00322-1","article-title":"On modification of Puu\u2019s dynamical duopoly","volume":"11","author":"Ahmed","year":"2000","journal-title":"Chaos, Solitons & Fraclals"},{"issue":"4","key":"10.1016\/S0378-4754(01)00347-0_BIB5","doi-asserted-by":"crossref","first-page":"815","DOI":"10.1142\/S0218127492000458","article-title":"Memory effects in discrete dynamical systems","volume":"2","author":"Aicardi","year":"1992","journal-title":"Int. J. Bifu. Chaos"},{"key":"10.1016\/S0378-4754(01)00347-0_BIB6","doi-asserted-by":"crossref","unstructured":"G.I. Bischi, A. Naimzada, Global analysis of a dynamic duopoly game with bounded rationality, in: Dynamics Games and Application, Vol. 5, Birkhouser, 1999 (Chapter 20).","DOI":"10.1007\/978-1-4612-1336-9_20"},{"key":"10.1016\/S0378-4754(01)00347-0_BIB7","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1016\/S0378-4754(97)00100-6","article-title":"Synchronization intermittency and critical curves in a duopoly game","volume":"44","author":"Bischi","year":"1998","journal-title":"Math. Comput. Simul."},{"key":"10.1016\/S0378-4754(01)00347-0_BIB8","unstructured":"V. Bohm, J. Wenzelbarger, Cycles and local stability in discrete dynamical systems with delay structure, Discussion Paper 320, Department of Economics, Bielefeled University, 1996."},{"key":"10.1016\/S0378-4754(01)00347-0_BIB9","unstructured":"R.L. Deveney, An Introduction to Chaotic Dynamical Systems, Addison-Wesely Reading, 1989."},{"issue":"1","key":"10.1016\/S0378-4754(01)00347-0_BIB10","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1142\/S0218127494000125","article-title":"A double logistic map","volume":"4","author":"Gardini","year":"1994","journal-title":"Int. J. Bifu. Chaos"},{"key":"10.1016\/S0378-4754(01)00347-0_BIB11","unstructured":"R. Gibbons, Aprimer in Game Theory, Simon & Schuster, NY, 1992."},{"key":"10.1016\/S0378-4754(01)00347-0_BIB12","unstructured":"D. Glulick, Encounters with Chaos, Mcgraw Hill, New York, 1992."},{"key":"10.1016\/S0378-4754(01)00347-0_BIB13","unstructured":"I. Gumowski, C. Mira, Dynamique Chaotique, Cepadues Editions, Toulose, 1980."},{"key":"10.1016\/S0378-4754(01)00347-0_BIB14","unstructured":"M. Hasler, Y. Maistemko, An introduction to the synchronization of chaotic systems: coupled skew tent maps, CAS transactions (part I), Chaos, Synchronization, Control and Applications (special issue), 44 (10) (1997) 856\u2013866."},{"key":"10.1016\/S0378-4754(01)00347-0_BIB15","doi-asserted-by":"crossref","unstructured":"H.-W. Lorenz, Nonlinear Dynamical Economics and Chaotic Motion, Lectures Notes in Economics and Mathematical Systems 334, Springer, Berlin, 1993.","DOI":"10.1007\/978-3-642-78324-1"},{"key":"10.1016\/S0378-4754(01)00347-0_BIB16","doi-asserted-by":"crossref","first-page":"3285","DOI":"10.1103\/PhysRevE.54.3285","article-title":"Different types of chaos synchronization in two coup1ed picewise linear maps","volume":"54","author":"Maistermko","year":"1996","journal-title":"Phys. Rev. E"},{"key":"10.1016\/S0378-4754(01)00347-0_BIB17","unstructured":"T. Offerman, J. Potters, J. Sonnemans, Imilation and belief learning in an oligopoly experiment, Discussion Paper in Department of Economics, Amesrterdam University, October 1997."},{"key":"10.1016\/S0378-4754(01)00347-0_BIB18","unstructured":"A. Stiefenhofer, Stability and predictability of dynamical economic systems with memory, Discussion Paper 331, Department of Economics, Belefeleld University, 1997."},{"key":"10.1016\/S0378-4754(01)00347-0_BIB19","unstructured":"M.T. Yassen, A.S. Hegazi, H.N. Agiza, Dynamic of Cournot oligopoly game with bounded rationality players, J. Egypt. Math. Soc., in press."}],"container-title":["Mathematics and Computers in Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475401003470?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475401003470?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,1,7]],"date-time":"2020-01-07T21:31:09Z","timestamp":1578432669000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0378475401003470"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,1]]},"references-count":19,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2002,1]]}},"alternative-id":["S0378475401003470"],"URL":"https:\/\/doi.org\/10.1016\/s0378-4754(01)00347-0","relation":{},"ISSN":["0378-4754"],"issn-type":[{"value":"0378-4754","type":"print"}],"subject":[],"published":{"date-parts":[[2002,1]]}}}