To design a hyperchaotic generator and apply chaos into secure communication, a linear unidirectional coupling control is applied to two identical simplified Lorenz systems. The dynamical evolution process of the coup...To design a hyperchaotic generator and apply chaos into secure communication, a linear unidirectional coupling control is applied to two identical simplified Lorenz systems. The dynamical evolution process of the coupled system is investigated with variations of the system parameter and coupling coefficients. Particularly, the influence of coupling strength on dynamics of the coupled system is analyzed in detail. The range of the coupling strength in which the coupled system can generate hyperchaos or realize synchronization is determined, including phase portraits, Lyapunov exponents, and Poincare section. And the critical value of the system parameter between hyperchaos and synchronization is also found with fixed coupled strength. In addition, abundant dynamical behaviors such as four-wing hyperchaotic, two-wing chaotic, single-wing coexisting attractors and periodic orbits are observed and chaos synchronization error curves are also drawn by varying system parameter c. Numerical simulations are implemented to verify the results of these investigations.展开更多
To seek for lower-dimensional chaotic systems that have complex topological attractor structure with simple algebraic system structure, a new chaotic system of three-dimensional autonomous ordinary differential equati...To seek for lower-dimensional chaotic systems that have complex topological attractor structure with simple algebraic system structure, a new chaotic system of three-dimensional autonomous ordinary differential equations is presented. The new system has simple algebraic structure, and can display a 2-scroll attractor with complex topological structure, which is different from the Lorenz＇s, Chen＇s and Lu¨＇s attractors. By introducing a linear state feedback controller, the system can be controlled to generate a hyperchaotic attractor. The novel chaotic attractor, hyperchaotic attractor and dynamical behaviors of corresponding systems are further investigated by employing Lyapunov exponent spectrum, bifurcation diagram, Poincar′e mapping and phase portrait, etc., and then verified by simulating an experimental circuit.展开更多
针对混沌调制实用化过程中存在的问题,提出产生混沌序列的新颖算法及优选准则。介绍CSK和COOK调制模型及DCSK调制解调模型,对DCSK,CSK和BPSK调制模型的性能进行仿真分析与对比。分析CSK和DCSK信号中半个比特周期(T/2)内所产生的混沌样...针对混沌调制实用化过程中存在的问题,提出产生混沌序列的新颖算法及优选准则。介绍CSK和COOK调制模型及DCSK调制解调模型,对DCSK,CSK和BPSK调制模型的性能进行仿真分析与对比。分析CSK和DCSK信号中半个比特周期(T/2)内所产生的混沌样值个数L对CSK和DCSK性能的影响,并介绍一种新颖的DCSK改进型调制方式。研究结果表明:与CSK相比,DCSK调制对信道畸变不敏感并具有更好的噪声特性,在误码率RBE为10-3数量级时可提高信道噪声约3 d B;在信噪比(Eb/No)不小于12 d B的条件下,DCSK的RBE与CSK的相比小1个数量级以上。展开更多
基金Projects(61073187,61161006) supported by the National Nature Science Foundation of ChinaProject supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry,China
文摘To design a hyperchaotic generator and apply chaos into secure communication, a linear unidirectional coupling control is applied to two identical simplified Lorenz systems. The dynamical evolution process of the coupled system is investigated with variations of the system parameter and coupling coefficients. Particularly, the influence of coupling strength on dynamics of the coupled system is analyzed in detail. The range of the coupling strength in which the coupled system can generate hyperchaos or realize synchronization is determined, including phase portraits, Lyapunov exponents, and Poincare section. And the critical value of the system parameter between hyperchaos and synchronization is also found with fixed coupled strength. In addition, abundant dynamical behaviors such as four-wing hyperchaotic, two-wing chaotic, single-wing coexisting attractors and periodic orbits are observed and chaos synchronization error curves are also drawn by varying system parameter c. Numerical simulations are implemented to verify the results of these investigations.
基金supported by the National Natural Science Foundation of China (60971090)the Natural Science Foundation of Jiangsu Province (BK 2009105)
文摘To seek for lower-dimensional chaotic systems that have complex topological attractor structure with simple algebraic system structure, a new chaotic system of three-dimensional autonomous ordinary differential equations is presented. The new system has simple algebraic structure, and can display a 2-scroll attractor with complex topological structure, which is different from the Lorenz＇s, Chen＇s and Lu¨＇s attractors. By introducing a linear state feedback controller, the system can be controlled to generate a hyperchaotic attractor. The novel chaotic attractor, hyperchaotic attractor and dynamical behaviors of corresponding systems are further investigated by employing Lyapunov exponent spectrum, bifurcation diagram, Poincar′e mapping and phase portrait, etc., and then verified by simulating an experimental circuit.
文摘针对混沌调制实用化过程中存在的问题,提出产生混沌序列的新颖算法及优选准则。介绍CSK和COOK调制模型及DCSK调制解调模型,对DCSK,CSK和BPSK调制模型的性能进行仿真分析与对比。分析CSK和DCSK信号中半个比特周期(T/2)内所产生的混沌样值个数L对CSK和DCSK性能的影响,并介绍一种新颖的DCSK改进型调制方式。研究结果表明:与CSK相比,DCSK调制对信道畸变不敏感并具有更好的噪声特性,在误码率RBE为10-3数量级时可提高信道噪声约3 d B;在信噪比(Eb/No)不小于12 d B的条件下,DCSK的RBE与CSK的相比小1个数量级以上。
