Analytical Criteria for Local Activity of CNN with Two Ports and Application to Smoothed Chua's Circuit

Presents analytic criteria for the local activity theory in two-port cellularneural network (CNN) cells with four local state variables, and gives the application to a smoothedChua's circuit (SCC) CNN with two-port and I 5 S 15 arrays. The bifurcation diagrams of the SCC CNNshow that they are completely the same as those of an SCC CNN with one-port calculated earlier;which do not exist locally passive domain. The evolution of the patterns of the state variables ofthe SCC CNN is stimulated. Oscillatory patterns, chaotic patterns, or divergent patterns may emergeif the selected cell parameters are located in the locally active unstable domains but nearby theedge of chaos domain.

Analytical criteria for local activity of CNN with five state variables and application to Hyper-chaos synchronization Chua's circuit

The analytic criteria for the local activity theory in one-port cellularneural network (CNN) with five local state variables are presented. The application to a Hyper-chaossynchronization Chua's circuit (HCSCC) CNN with 1125 variables is studied. The bifurcation diagramsof the HCSCC CNN show that they are slightly different from the smoothed CNN with one or two portsand four state variables calculated earlier. The evolution of the patterns of the state variables ofthe HCSCC CNN is stimulated. Oscillatory patterns, chaotic patterns, convergent or divergentpatterns may emerge if the selected cell parameters are located in the locally active domains butnearby or in the edge of chaos domain.

Chaos Synchronization between the Coupled Modified Chua's Circuits with Nonlinear Quadratic Function x|x|

This paper studies chaos synchronization in the modified Chua ' s circuitwith nonlinear quadratic function x|x| using a unidirectional Linear coupling approach. A newsufficient condition is derived for chaos synchronization between the two unidirectional coupledmodified Chua ' s circuits with x x I based on the Lyapunov stability theory. A simulation exampleis given for demonstration .

A RANDOM SEQUENCE GENERATOR BASED ON CHAOTIC CIRCUITS

In this paper, a random sequence generator based on chaotic circuits is presented.Fundamental principle and experimental circuit have been carried out in case of Chua's circuit.The statistical results are in good agreement with probability characteristics of random sequence.

基于蔡氏电路的混沌扩频序列

扩展频谱通信已经成为比较成熟的一门技术,在个人通信方面,它具有独特的优点.混沌现已成为当今科研的热点,混沌应用于扩频通信将开辟保密通信的一个新领域.

Some new criteria for lag synchronization of chaotic Lur'e systems by replacing variables control

Some new criteria for the chaotic lag synchronization are proposed. At first,lag synchronization scheme for identical master-slave Lur‘ e systems by replacing variables control and the relevant error system are given, and the relations between absolute stability of the error system and the chaotic lag synchronization are described. Then, based on a quadratic Lyapunov function, two new Lur‘ e criteria for the above chaotic lag synchronization are proved. Four corresponding frequency domain criteria are further derived by means of Meyer-Kalman-Yacubovia Lemma. These frequency domain criteria are applied to analyze the lag synchronization of general master-slave Chua's circuits so that some ranges of the parameters in which the master-slave Chua's circuits achieve chaotic lag synchronization by replacing single-variable control are attained. Finally, some examples are given to verify the theoretical results.

A new theorem to synchronization of unified chaotic systems via adaptive control

Chaos synchronization has been applied in secure communication, chemicalreaction, biological systems, and information processing. A new theorem to synchronization ofunified chaotic systems via adaptive control is proposed. The constructive theorem provides thedesign scheme for adaptive controller such that a respond system can synchronize with respect to anuncertain drive system. One example for discontinuous chaotic system is proposed to illustrate theeffectiveness and feasibility.

New results of study on generating multiple-scroll chaotic attractors

We present a new method for generating multiple-scroll attractors. By constructing a piece-wise-linear odd function as the driving-point characteristic of Chua's diode with multiple breakpoints, and finding a recurrence formula for determining equilibrium point voltages and breakpoint voltages, we can calculate the voltages of all the equilibrium points and breakpoints, and the multiple-scroll chaotic attractors can be obtained. This method is based on Shil'nikov theorem and the cell model of chaotic attractors. The theoretical calculations are in good agreement with computer simulations and hardware experimental results. Compared with the results reported by Suykens, our method has some advantages that much more scrolls can be obtained, the scrolls are uniform in size, and a general recurrence formula for generating attractors with any number of scrolls is given. Furthermore, the observation of attractors with a maximum of 11-21 uniform scrolls obtained by hardware experiment and computer simulation, respectively, is reported for the first time.

Hyper-Distributed Hyper-Parallel Implementation of Heuristic Search ofImplicit AND/OR Graph

This paper presents the hierarchic chaotic cellular networks for the hardware implementation of hyper-distributed hyper-parallel intelligent problem solving based on competitive wave propagation. By using the bifurcation and the synchronization of distributed chaotic dynamic systems, and by improving the Chua's circuit, the mechanism and the algorithms of heuristic search of an implicit AND/OR graph are realized in a hyper-distributed hyper-parallel environment. This paper's approach has many advantages in comparison with other traditional systolic structures based on symbolic logic algorithms.

Multi-State Chaos-Shift-Keying Modulation System: Analysis and Realization

In this paper, a new type of chaos shift keying(CSK) modulation, called multi state CSK, is analyzed and tested. In this type of modulation combined with feedback synchronization, the data rate can be greatly increased. Laboratory test results confirm very well with theoretical analysis.