A new piecewise linear Chen system of fractional-order:Numerical approximation of stable attractors

查看全文 作　　者：Marius-[1,2]F.Danca;M.A.Aziz-[3,4,5]Alaoui;Michael [6]Small

机构地区：[1]Department of Mathematics and Computer Science,Emanuel University of Oradea;[2]Romanian Institute of Science and Technology;[3]Normandie University;[4]ULH,LMAH,F-76600 Le Havre;[5]FR CNRS 3335,ISCN,25 rue Philippe Lebon 76600 Le Havre,France;[6]School of Mathematics and Statistics,University of Western Australia

出　　处：《Chinese Physics B》索引2015年第24卷第6期,共9页

基　　金：funded by the European Regional Development Funding via RISC project;by CPER Region Haute Normandie France,the Australian Research Council via a Future Fellowship(FT110100896);Discovery Project(DP140100203) 摘　　要：In this paper we present a new version of Chen's system:a piecewise linear(PWL) Chen system of fractional-order.Via a sigmoid-like function,the discontinuous system is transformed into a continuous system.By numerical simulations,we reveal chaotic behaviors and also multistability,i.e.,the existence of small parameter windows where,for some fixed bifurcation parameter and depending on initial conditions,coexistence of stable attractors and chaotic attractors is possible.Moreover,we show that by using an algorithm to switch the bifurcation parameter,the stable attractors can be numerically approximated. 关键词：CHEN系统分段线性分数阶数值逼近稳定不连续系统分岔参数混沌吸引子

相关文献

参考文献（30）
引证文献（1）
耦合文献（0）

参考文献(30)

引证文献(1)

互联网出版许可证新出网证(渝)字10号全国400电话 - 免长途话费

A new piecewise linear Chen system of fractional-order:Numerical approximation of stable attractors

参考文献(30)

引证文献(1)

用户提示