%0 Journal Article
%T Chaotic dynamics and synchronization of fractional-order Genesio--Tesi systems<br>分数阶Genesio-Tesi系统的混沌动态和同步
%A Lu Jun-Guo
%A <br>卢俊国
%J 中国物理 B
%D 2005
%I 
%X In this paper, we investigate numerically the chaotic behaviours in the fractional-order Genesio--Tesi system. We find that chaos exists in the fractional-order Genesio--Tesi system with order less than 3. The lowest order we find to have chaos is 2.4 in this fractional-order Genesio--Tesi system. We propose a drive-response synchronization method for synchronizing the fractional-order chaotic Genesio--Tesi systems only using a scalar drive signal. This synchronization approach, based on stability theory of fractional-order systems, is simple and theoretically rigorous. It does not require the computation of the conditional Lyapunov exponents.Simulation results are used to visualize and illustrate the effectiveness of the proposed synchronization method.
%K chaos
%K synchronization
%K Genesio--Tesi system
%K fractional-order system
%K fractional calculus<br>混沌
%K 同步
%K Genesio-Tesi系统
%K 分数阶系统
%K 分数积分
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=7DC5F97FAD31F7164EE5314E63034840&yid=2DD7160C83D0ACED&vid=F3583C8E78166B9E&iid=5D311CA918CA9A03&sid=388804B5826A17DB&eid=ECD12A4C29B53D67&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=27