非光滑系统的混沌同步  

THE CHAOTIC SYNCHRONIZATION OF NON-SMOOTH SYSTEMS

作　　者：付士慧[1] 

机构地区：[1]郑州大学数学系,郑州450001

出　　处：《动力学与控制学报》2010年第4期326-329,共4页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(10702065;11002055)~~

摘　　要：通过广义哈密顿系统和观测器法,本文将非光滑混沌系统的同步问题转化成了研究光滑系统零解的稳定性,从而给出了混沌同步的条件.对具体的带干摩擦,碰撞的Duffing振子分别进行研究,使其达到了完全同步,表明该方法的正确性.Through a Generalized Hamiltonian system and observer approach, the chaotic synchronization of non- smooth systems was transformed into the stability of zero solution of smooth systems, thus the condition of the chaotic synchronization was obtained. Moreover, the Duffing Oscillator with dry friction and impact and their chaotic synchronization were studied. The numerical results agreed well with the theoretical analysis.

关 键 词：广义哈密顿系统 混沌同步 干摩擦 碰撞 

分 类 号：O415.5[理学—理论物理]