A novel memristive chaotic system without any equilibrium point

Various chaotic systems have been studied recently. They can show many different dynamics and features. A memristive 4D chaotic oscillator with no equilibria, multistability, and hidden attractor is presented in this paper. Chaotic attractor of the proposed oscillator is discussed, and its dynamical behaviors are investigated. The oscillator does not have any equilibrium. In addition, the phenomena of multistability is studied in this system. It shows chaotic dynamics and periodic windows, verified by Lyapunov exponents’ diagram. Image encryption is studied as an engineering application of the system. The proposed system has a proper performance in encryption. Finally, this memristive chaotic system is realized using FPGA.     

Truly random number generators based on a non-autonomous chaotic oscillator

A non-autonomous chaotic circuit which is suitable for high-frequency integrated circuit (IC) realization is presented. Simulation and experimental results verifying the feasibility of the circuit are given. We have numerically verified that the bit streams obtained from the stroboscopic Poincaré map of the system passed the four basic tests of FIPS-140-2 test suite. We also have verified that the binary data obtained from the hardware realization of this continuous-time chaotic oscillator in the same way pass the full NIST random number test suite. Then, in order to increase the output throughput and the statistical quality of the generated bit sequences, we propose a TRNG design which uses a dual oscillator architecture with the proposed continuous-time chaotic oscillator. Finally, we have experimentally verified that the binary data obtained by this oscillator sampling technique pass the tests of full NIST random number test suite without Von Neumann processing for a higher throughput speed while compared with the previous one where the proposed continuous-time chaotic oscillator is used alone.     

Secure communication with a chaotic system owning logic element

In recent years, various chaotic systems have been introduced in literature to be used in different branches of science. In the field of secure chaotic communication, more complex chaotic systems are proposed, such as high dimensional (4D, 5D), multi-scroll, surface equilibrium point, to enhance communication security level. In this study, a chaotic system owning logic element is used for increasing the level of security of chaotic communication system, which has not been previously implemented for this purpose in the literature. The used chaotic system includes signum functions, maximum function and absolute operation term. Also, there are analog devices and digital device in the electronic circuit of this chaotic system. These properties increase the complexity of the chaotic system and the security level. Sliding mode control method is preferred for the synchronization part of the secure communication. In this regard, numerical analysis and electronic circuit design of the secure chaotic communication system by using the chaotic system owning logic element have been performed successfully.     

基于非自治混沌系统广义同步的数字保密通信方案

在研究杜芬系统广义混沌同步的基础上,提出基于此广义混沌同步的数字保密通信的方案,将二进制信息调制为FSK信号,再由FSK信号驱动非自治混沌系统发出混沌信号,当系统处于广义混沌同步时,接收端便可恢复出二进制信息。从仿真结果看,此方案有效。     

存在参数微扰的非自治超混沌系统的同步

本文对四维非自治的超混沌光学模型的同步问题进行了讨论。结合误差反馈同步方法和参数自适应同步方法,使参数不同的两个系统达到同步,数值计算结果也表明同步效果很好。同时对控制函数的参数与同步建立的时间两者之间的关系进行了仿真,结果表明,存在最佳参数使得同步建立的时间最短。     

A new color image encryption scheme based on DNA encoding and spatiotemporal chaotic system

In this paper, a new color image encryption scheme based on DNA operations and spatiotemporal chaotic system is presented. Firstly, to hide the distribution information of the plain image, we convert the plain image into three DNA matrices based on the DNA random encoding rules. Then, the DNA matrices are combined into a new matrix and is permutated by a scramble matrix generated by mixed linear-nonlinear coupled map lattices (MLNCML) system. In which, the key streams are associated with the secret keys and plain image, which can ensure our cryptosystem plain-image-dependent and improve the ability to resist known-plaintext or chosen-plaintext attacks. Thereafter, to resist statistical attacks, the scrambled matrix is decomposed into three matrices and diffused by DNA deletion-insertion operations. Finally, the three matrices are decoded based on DNA random decoding rules and recombined to three channels of the cipher image. Simulation results demonstrate that the proposed image cryptosystem has good security and can resist various potential attacks.     

A new hidden chaotic attractor with extreme multi-stability

The topic of hidden attractors is a very hot topic in nonlinear dynamics. Multi-stability is another important topic in that area. One recent important category of multi-stable systems is “systems with extreme multi-stability”. In this paper we introduce a new five-dimensional chaotic system with both hidden attractors and extreme multi-stability. Such systems are very rare in literature. Also, we show its feasibility by the help of electronic circuit implementation.     

A simple fractional-order chaotic system without equilibrium and its synchronization

There has been an increasing interest in discovering no-equilibrium chaotic systems recently. In this paper, a novel three dimensional fractional-order chaotic system, which has no equilibrium, is introduced. Dynamics of the system has been studied. It is interesting that the system can exhibit coexisting chaotic attractors for the order as low as 2.7. The adjustable feature of a variable is studied by introducing a single controlled constant. Circuit implementation of the system is proposed to show its feasibility. In addition, we have designed the controllers to investigate coexisting synchronization types of such a new fractional-order system. Numerical examples have verified the proposed synchronization schemes.     

一种用于扩频通信系统的CNN多值随机码的研究

该文结合细胞神经网络(CNN)和扩频通信系统(SSS)的特点,利用三细胞CNN混沌产生了用于扩频通信系统的多值随机码,文中给出了码的生成方法并分析了它的性能,仿真结果表明这种码性能优越,能够很好地用于扩频通信系统。     

一种混沌系统同步的优化方案

该文通过将反馈控制与小波变换相结合,对混沌同步系统进行了优化设计。在发送端,将系统的部分信号进行小波变换去掉细节信息后发送,在接收端重构出低频信号,将其与接收端信号的差进行反馈。应用本优化方案可将发送信号压缩后传送,节约系统资源;可滤去发送信号中的高频成分,减小干扰和噪声对同步信号的影响。文中给出了仿真验证结果。     

Realization of planar mixing by chaotic velocity in microfluidics

We present the design, fabrication and characterization of an effective planar passive micromixer with relatively simple construction for microfluidic applications. This micromixer consists of a zigzag microchannel in which realization of fluid mixing is expected because the variation of the flow velocity direction and magnitude in the channels may cause the laminar flow to become chaotic. Simulations were made to study the influence of geometry of the microchannel on the mixing effect and it has been found that the turning angle plays a very important role in the mixing process. Prototype devices were fabricated using polydimethylsioxane soft lithography technology. Mixing efficiency of the micromixer was examined by tracing the color uniformity of de-ionized water and red ink travelling through the microchannel. It was found that, for these two flows with a wide range of flow rates, the resulted fluid at the outlet of the micromixer would always show good color uniformity, indicating a high mixing efficiency. A prototype micromixer system for future fast chemical and biological analysis was proposed and fabricated based on this design. Easy to fabricate and use, we believe that our micromixer can be used as a general-purpose component for microfluidic systems.     

DETECTING TECHNIQUE OF WEAK PERIODIC PULSE SIGNAL VIA SYNTHESIS OF CROSS-CORRELATION AND CHAOTIC SYSTEM

In this letter, with the synthesis of usual cross-correlation detecting method and chaotic detecting method, a new detecting system for the weak periodic pulse signal is constituted,in which the two methods can play respective preponderance. Theoretical analyses and simulation studies have shown that the detecting system is very sensitive to the periodic pulse signal under strong noise background and has exceedingly powerful capability of suppressing complex noise.     

THE CHAOTIC DETECTION OF PERIODIC SHORT—IMPULSE SIGNALS UNDER STRONG NOISE BACKGROUND

The periodic short-impulse signals under strong noise background are successfully detected with a special chaotic system invented by the authors.Simulation experiments show that the chaotic system is very sensitive to periodic shor-impulse signals submerged by strong noise background,and it can effectively restrain any zero-mean nose.The system has a stable working-detection limit of -83dB.     

低信噪比时混沌信号降噪的微扰方法

该文提出一种新的混沌信号降噪方法微扰法,并且给出了微扰法的一个具体实例算法梯度微扰法。该文还对用梯度微扰法进行混沌信号降噪的效果进行了实验研究。实验结果表明,梯度微扰法能够在低信噪比时得到很好的降噪效果。文中还对梯度微扰法的参数选择问题进行了实验研究。     

A hybrid genetic algorithm and chaotic function model for image encryption

The security of digital images has attracted much attention recently. In this study, a new method based on a hybrid model is proposed for image encryption. The hybrid model is composed of a genetic algorithm and a chaotic function. In the first stage of the proposed method, a number of encrypted images are constructed using the original image and the chaotic function. In the next stage, these encrypted images are used as the initial population for the genetic algorithm. In each stage of the genetic algorithm, the answer obtained from the previous iteration is optimized to produce the best-encrypted image. The best-encrypted image is defined as the image with the highest entropy and the lowest correlation coefficient among adjacent pixels.     

Two-neuron-based non-autonomous memristive Hopfield neural network: Numerical analyses and hardware experiments

This paper explores a two-neuron-based non-autonomous memristive Hopfield neural network (mHNN) through numerical analyses and hardware experiments. It is interested that the locus and stability of the AC equilibrium point for the mHNN change with the time evolution. Dynamical behaviors associated with the self-coupling strength of the memristive synapse are numerically investigated by bifurcation diagrams, Lyapunov exponents and phase portraits. Particularly, bursting behaviors are revealed when the order gap exists between the natural frequency and external stimulus frequency. The interesting phenomena are illustrated through phase portraits, transmitted phase portraits, and time-domain waveforms of two cases. Moreover, breadboard experimental investigations are carried out, which effectively verify the numerical simulations.     

A family of new complex number chaotic maps based image encryption algorithm

A family of new complex number chaotic maps based image encryption algorithm is proposed in the paper. A family of maps is constructed and proved to be chaotic in the complex number field, and its characteristics are analyzed. Two maps are selected from the chaotic maps family and are utilized to construct pseudorandom keystream sequence. In the proposed encryption algorithm, the pseudorandom keystream sequences are used to scramble and diffuse the plain image data and two entropy coding methods are used to reduce the correlation among the signals. Both theoretical analysis and experimental tests show that the proposed algorithm is secure and efficient.     

Dynamics and circuit of a chaotic system with a curve of equilibrium points

Although chaotic systems have been intensively studied since the 1960s, new systems with mysterious features are still of interest. A novel chaotic system including hyperbolic functions is proposed in this work. Especially, the system has an infinite number of equilibrium points. Dynamics of the system are investigated by using non-linear tools such as phase portrait, bifurcation diagram, and Lyapunov exponent. It is interesting that the system can display coexisting chaotic attractors. An electronic circuit for realising the chaotic system has been implemented. Experimental results show a good agreement with theoretical ones.     

Performance of a new decoding method used in open-loop all-optical chaotic communication system

A new decoding method with decoder is used in open-loop all-optical chaotic communi-cation system under strong injection condition. The performance of the new decoding method is nu-merically investigated by comparing it with the common decoding method without decoder. For new decoding method, two cases are analyzed, including whether or not the output of the decoder is ad-justed by its input to receiver. The results indicate the decoding quality can be improved by adjusting for the new decoding method. Meanwhile, the injection strength of decoder can be restricted in a certain range. The adjusted new decoding method with decoder can achieve better decoding quality than decoding method without decoder when the bit rate of message is under 5 Gb/s. However, a stronger injection for receiver is needed. Moreover, the new decoding method can broaden the range of injection strength acceptable for good decoding quality. Different message encryption techniques are tested, and the result is similar to that of the common decoding method, indicative of the fact that the message encoded by using Chaotic Modulation (CM) can be best recovered by the new decoding method owning to the essence of this encryption technique.