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Analysis and Simulation of Evolution Induced Catastrophe

查看全文 作  者:BAI [1]Yilong;XIA [1,2]Mengfen;KE [1,3]Fujiu;LU [1]Chunsheng;LING [1]Zhong 高影响力作者 机构地区:[1]Laboratory for Nonlinear Mechanics of Continuous Media,Institute of Mechanics,Academia Sinica,Beijing 100080;[2]Department of Physics,Peking University,Beijing 100871;[3]Department of Applied Mathematics and Physics,Beijing University of Aeronautics and Astronautics,Beijing 100083高影响力机构 出  处:《Chinese Physics Letters》索引1993年第10卷第3期,共4页高影响力期刊 基  金:Supported by the National Basic Research Project'Nonlinear Science';Chinese Academy of Sciences under special grant No.KM85-33. 摘  要:A model of evolution induced catastrophe(EIC)characterized by a nonlocal interaction is proposed.The general feature of the model is its two bias states:explosively catastrophic and globally stable,both consisting in a cascade of locally unstable states.A one-dimensional analysis reveals a transition region from globally stable to catastrophe.A two-dimensional simulation gives a thin fractal fracture profile similar to that observed and also a possible spectrum of fracture fractal.All these are different from percolation.Hence,the EIC model may represent a prototype of natural processes. 关 键 词:globally FRACTAL LOCALLY
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