信息与控制
信息與控製
신식여공제
INFORMATION AND CONTROL
2010年
1期
54-58,65
,共6页
非线性耦合函数%蔡氏混沌系统%混沌同步%网络%保密通信
非線性耦閤函數%蔡氏混沌繫統%混沌同步%網絡%保密通信
비선성우합함수%채씨혼돈계통%혼돈동보%망락%보밀통신
nonlinear coupling function%Chua's chaotic system%chaotic synchronization%network%secure communication
利用非线件函数耦合混沌同步方法,研究蔡氏混沌系统的同步问题.依据线性系统的稳定性分析准则,证明耦合系数k=0.5时非线件函数耦合混沌系统的同步稳定性,并数值模拟检验其有效性.基于Routh-Hurwitz稳定性判据,推导出非线性耦合强度的下限,即k＞0.427.将非线性函数耦合同步方法推广到完全连接网络,证明了网络同步的稳定性.在此基础上,利用混沌掩盖构造完全连接网络的保密通信系统,并通过数值仿真证明其可行性.
利用非線件函數耦閤混沌同步方法,研究蔡氏混沌繫統的同步問題.依據線性繫統的穩定性分析準則,證明耦閤繫數k=0.5時非線件函數耦閤混沌繫統的同步穩定性,併數值模擬檢驗其有效性.基于Routh-Hurwitz穩定性判據,推導齣非線性耦閤彊度的下限,即k＞0.427.將非線性函數耦閤同步方法推廣到完全連接網絡,證明瞭網絡同步的穩定性.在此基礎上,利用混沌掩蓋構造完全連接網絡的保密通信繫統,併通過數值倣真證明其可行性.
이용비선건함수우합혼돈동보방법,연구채씨혼돈계통적동보문제.의거선성계통적은정성분석준칙,증명우합계수k=0.5시비선건함수우합혼돈계통적동보은정성,병수치모의검험기유효성.기우Routh-Hurwitz은정성판거,추도출비선성우합강도적하한,즉k＞0.427.장비선성함수우합동보방법추엄도완전련접망락,증명료망락동보적은정성.재차기출상,이용혼돈엄개구조완전련접망락적보밀통신계통,병통과수치방진증명기가행성.
By the synchronization method of coupled chaotic systems based on nonlinear function, the synchronization of Chua's chaotic system is investigated. When the coupling factor k = 0.5, the stability of the synchronous state of coupled chaotic systems based on nonlinear function is proved by the stability criterion of linear systems, and its validity is examined by numerical simulation. Based on the Routh-Hurwitz's stability criterion, the lower limit of the nonlinear coupling strength ensuring the synchronization is determined, and it is k ＞ 0.427. This synchronization method of coupled chaotic systems based on nonlinear function is extended to the all-to-all-coupling network. The stability of the network synchronous state is proved. On this basis, the all-to-all-coupling secure communication system is constructed via chaotic mask. Numerical simulation proves its feasibility.
