Adaptive synchronization of a class of fractional-order complex-valued chaotic neural network with time-delay

This paper is concerned with the adaptive synchronization of fractional-order complex-valued chaotic neural networks (FOCVCNNs) with time-delay. The chaotic behaviors of a class of fractional-order complex-valued neural network are investigated. Meanwhile, based on the complex-valued inequalities of fractional-order derivatives and the stability theory of fractional-order complex-valued systems, a new adaptive controller and new complex-valued update laws are proposed to construct a synchronization control model for fractional-order complex-valued chaotic neural networks. Finally, the numerical simulation results are presented to illustrate the effectiveness of the developed synchronization scheme.     

基于单驱动变量分数阶混沌同步的参数调制数字通信及硬件实现

通过单驱动变量设计了三维分数阶混沌系统通用的自适应同步控制器.基于参数调制原理, 利用单驱动变量分数阶混沌系统的同步,提出了一种新的通用型数字通信方案,对电路进行了仿真,同时搭建了实际硬件电路,结果显示接收信息和发送信息符合完好,验证了本方案的有效性和可行性.     

两种新型卟啉吡啶季铵盐的合成

合成了两种新型卟啉吡啶季铵盐:溴化5-[4-N-(对硝基)苄铵基吡啶基]-10,15,20-三(4-N吡啶基)卟啉和氯化5-[4-N-(对甲氧基)苄铵基吡啶基]-10,15,20-三(4-N-吡啶基)卟啉.这两种化合物尚未见文献报道,它们的结构分别由紫外可见光谱、红外光谱、核磁共振谱、质谱、元素分析得到确证.     

一种超混沌映射的单双参量自适应同步

利用参量自适应法实现了超混沌系统Kawakami映射的同步.通过严密的数学推导,给出了Kawakami映射在单参量自适应下实现同步的充分条件,并在双参量自适应控制下系统同样实现了同步.数值模拟结果显示,该映射输出具有类似于白噪声的宽谱特性,因此比较适合用于保密通信.     

Adaptive generalized projective synchronization of two different chaotic systems with unknown parameters

This paper presents a general method of the generalized projective synchronization and the parameter identification between two different chaotic systems with unknown parameters. This approach is based on Lyapunov stability theory, and employs a combination of feedback control and adaptive control. With this method one can achieve the generalized projective synchronization and realize the parameter identifications between almost all chaotic （hyperchaotic） systems with unknown parameters. Numerical simulations results are presented to demonstrate the effectiveness of the method.     

Adaptive lag synchronization and parameter identification of fractional order chaotic systems

This paper proposes a simple scheme for the lag synchronization and the parameter identification of fractional order chaotic systems based on the new stability theory. The lag synchronization is achieved and the unknown parameters are identified by using the adaptive lag laws. Moreover, the scheme is analytical and is simple to implement in practice. The well-known fractional order chaotic Lü system is used to illustrate the validity of this theoretic method.     

Chaos in fractional-order generalized Lorenz system and its synchronization circuit simulation

The chaotic behaviours of a fractional-order generalized Lorenz system and its synchronization are studied in this paper. A new electronic circuit unit to realize fractional-order operator is proposed. According to the circuit unit, an electronic circuit is designed to realize a 3.8-order generalized Lorenz chaotic system. Furthermore, synchronization between two fractional-order systems is achieved by utilizing a single-variable feedback method. Circuit experiment simulation results verify the effectiveness of the proposed scheme.     

Response to the comments on “Adaptive synchronization of fractional-order chaotic systems via a single driving variable”

This paper is a Response to the comment by M.P. Aghababa (Nonlinear Dyn. 2001, doi:). Some ideas are proposed to rebut the Comments.     

Spread spectrum communication and its circuit implementation using fractional-order chaotic system via a single driving variable

A one-driving-variable adaptive controller for synchronization of a kind of fractional order chaotic system is designed. Based on the theory of spread spectrum communication and the synchronization of one-driving-variable fractional order chaotic system, we propose a new scheme for general spread spectrum communication. Numerical simulation and circuit experiment results are provided to illustrate the effectiveness of the proposed scheme.     

BCI-代数的换位元

本文在ＢＣＩ－代数中引入了换位元，证明了换位元的若干重要性质，讨论了换位元与极大元、极小元以及半群之间的关系．