Hyperchaotic System Research Articles

Privacy data protection scheme using memristive hyperchaos and multi-scale block compressive sensing

Recently, most meaningful image encryption schemes incorporated with various compressive sensing models have been developed to achieve dual protection of private image data and appearance. However, there exist performance constraints in these schemes in terms of anti-chosen-plaintext attack capability and key management. Aiming at the above issues, a new visually secure image encryption scheme is proposed using multi-scale block compressive sensing (MSB-CS) model and asymmetric integer wavelet transform (IWT) embedding. In this scheme, a memristor model with locally active tristable is first introduced into the oscillator to construct a new 5D memristive hyperchaotic system to generate cipher flows. Then, the non-linear MSB-CS model is designed to compress sparsely-represented plaintext coefficients. After a series of encryption operations, secret image without semantic features is asymmetrically embedded into the same-scale non-secret-involved carrier image. Additionally, both communicating parties, Alice and Bob, acquire shared secret key through the key sharing protocol based on matrix factorization problem. Finally, simulation experiments and comprehensive analysis indicate that the 5D memristive system has complicated hyperchaotic behaviours. In the meantime, the designed encryption scheme possesses better the anti-differential attack capability and reconstruction performance than other recently proposed schemes.

Predicting chaotic statistics with unstable invariant tori.

It has recently been speculated that long-time average quantities of hyperchaotic dissipative systems may be approximated by weighted sums over unstable invariant tori embedded in the attractor, analogous to equivalent sums over periodic orbits, which are inspired by the rigorous periodic orbit theory and which have shown much promise in fluid dynamics. Using a new numerical method for converging unstable invariant two-tori in a chaotic partial differential equation (PDE), and exploiting symmetry breaking of relative periodic orbits to detect those tori, we identify many quasiperiodic, unstable, invariant two-torus solutions of a modified Kuramoto-Sivashinsky equation. The set of tori covers significant parts of the chaotic attractor and weighted averages of the properties of the tori-with weights computed based on their respective stability eigenvalues-approximate average quantities for the chaotic dynamics. These results are a step toward exploiting higher-dimensional invariant sets to describe general hyperchaotic systems, including dissipative spatiotemporally chaotic PDEs.

Recognizing Chaos by Deep Learning and Transfer Learning on Recurrence Plots

Chaos recognition is necessary to determine the prediction possibility for specific time series. In this paper, we attempt to seek a novel chaos recognition method based on the recurrent plot (RP) and the convolutional neural network (CNN). The RP can transform the time series into a two-dimensional image, which intuitively reflects the inherent nature of the time series. On the other hand, the CNN is powerful in pattern classification. In this way, the existing chaos recognition results can be unified in a general framework to form accumulated knowledge, which can be used to recognize novel dynamics. First, three major time series classes, namely chaotic, periodic and random ones generated from the classical dynamics, are represented by the RPs respectively. Then, these RPs are used as the dataset to train the residual neural network (ResNet). In this process, the transfer learning is used to speed up convergence. The chaos recognition precision can be up to 97.6%. Finally, different encoding methods and classification networks are used for comparative experiments, and the resultant ResNet is applied to the time series from a supercavitating vehicle motion and two hyperchaotic systems. The experimental results demonstrate the effectiveness of the proposed method.

Generation S-box and P-layer For PRESENT Algorithm Based On 6D Hyper Chaotic System

In the era of data-driven applications and resource-constrained devices, the need for lightweight algorithms has become increasingly important. Lightweight algorithms refer to computational techniques that strike a balance between efficiency and resource utilization, making them well-suited for low-power devices, embedded systems, and scenarios with limited computational capabilities. For the new encryption method PRESENT, which was put forth in 2007, S-box directly affects the algorithm's security, whereas the p-layer mostly functions as a confusing factor during the encryption process. This paper provides a brief explanation of the PRESENT algorithm's operation and suggests an enhanced S-box and p-layer to address the issue that the main PRESENT S-box and P-layer have an anti-fixed point. The random generate of S-boxes and P-layers for PRESENT algorithms using 6D chaotic systems to generate 10 new S-boxes and 10 new P-layers. Finally, the security analysis has been completed, and the results indicate that the chaos S-box and P-layer are better able to with stand differential attacks and linear assaults and are suitable for protecting sensitive data.

Image encryption algorithm based on 2D hyper-chaotic system and central dogma of molecular biology

Abstract With the widespread use of images, image security has received much attention. Image security can be guaranteed by encrypting the plain image and transmitting the corresponding cipher image. This paper proposes an image encryption algorithm based on the novel two-dimensional (2D) hyper-chaotic system, bidirectional diagonal crossover transformations (BDCTs) and central dogma of molecular biology. Firstly, six chaotic sequences are generated using the proposed hyper-chaotic system, which are used in the permutation and diffusion processes. Secondly, the 5th–8th bit-planes of plain image are permuted using the designed BDCTs. Thirdly, the permuted image is dynamically encoded into a quaternary DNA sequence, and then the quaternary DNA sequence is transcribed into a quaternary RNA sequence. After that, the quaternary RNA sequence is diffused using quaternary RNA operations. Finally, the diffused RNA sequence is translated into a codon sequence, and then the designed codon-level multipoint crossover scheme is used to further improve the diffusion effect. Experiment results and security analyses demonstrate that our algorithm has high security and efficiency. In other words, our algorithm is quite suitable for real-time image cryptosystems.

A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation

A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation

A new multistable double-scroll 4-D hyperchaotic system with no equilibrium point, its bifurcation analysis, synchronization and circuit design

A new multistable double-scroll 4-D hyperchaotic system with no equilibrium point, its bifurcation analysis, synchronization and circuit design

A new two-scroll 4-D hyperchaotic system with a unique saddle point equilibrium, its bifurcation analysis, circuit design and a control application to complete synchronization

A new two-scroll 4-D hyperchaotic system with a unique saddle point equilibrium, its bifurcation analysis, circuit design and a control application to complete synchronization

Construction of a New 2D Hyperchaotic Map with Application in Efficient Pseudo-Random Number Generator Design and Color Image Encryption

This paper proposes a new two-dimensional discrete hyperchaotic system and utilizes it to design a pseudo-random number generator (PRNG) and an efficient color image encryption algorithm. This hyperchaotic system has very complex dynamic properties and can generate highly random chaotic sequences. The complex hyperchaotic characteristics of the system are confirmed via bifurcation diagram, chaotic attractor, Lyapunov exponents, correlation analysis, approximate entropy and permutation entropy. Compared with some traditional discrete chaotic systems, the new chaotic system has a larger range of chaotic parameters and more complex hyperchaotic characteristics, making it more suitable for application in information encryption. The proposed PRNG can generate highly random bit sequences that can fully pass all NIST testing items. The proposed color image encryption algorithm achieves cross-channel permutation and diffusion of pixels in parallel. These strategies not only greatly improve the encryption speed of color images, but also enhance the security level of cipher images. The simulation experiments and security analysis results show that the algorithm has strong robustness against differential attacks, statistical attacks and interference attacks, and has good application potential in real-time secure communication applications of color images.

Correction to: Images encryption based on robust multi-mode finite time synchronization of fractional-order hyper-chaotic Rikitake systems

Correction to: Images encryption based on robust multi-mode finite time synchronization of fractional-order hyper-chaotic Rikitake systems

Preface

The 14th Five-Year Plan clearly points out that we should adhere to the core position of innovation in the overall situation of modernization, regard scientific and technological self-reliance and self-improvement as the strategic support for national development. At present, from a global perspective, science and technology have increasingly become the main force to promote economic and social development, and innovation is the trend of the times. In the fierce international competition, only innovators advance, only innovators are strong, and only innovators win.However, the foundation of China’s scientific and technological innovation is not yet solid, there is still a significant gap in the level of innovation, and in some fields the gap has not narrowed, but has a tendency to expand. Therefore, improving innovation capabilities and creating an innovation ecology are the top priorities for building an innovative country and a world science and technology power.The International Conference on Mechanical Engineering and Automation (MEA 2022), as a sub-venue of the 4th International Conference on Scientific and Technological Innovation, was held in Chongqing, China on December 9th to 11th, 2022 via virtual form.MEA 2022 focused on the latest research and technology of Mechanical Engineering and Automation to discuss the innovation and development in these fields, and to create a forum for students, scholars, engineers, participants to give reports, share ideas as well as get new advice and insights from each other. It brought together about 150 participants. Many renowned professors delivered dramatic keynote speeches during the conference. One of them, Chunbo Xiu, a Professor from Tiangong University, China, shared a report on Design and Circuit Implementations of Memristor Hyperchaotic System. To enhance the order and Kolmogorov entropy of the memristive hyperchaotic system and improve the realizability of the circuit, a memristive hyperchaotic system that consists of two flux-controlled memristors and one charge-controlled memristor was designed. Combined with Lyapunov exponential spectrum, phase trajectory diagram and bifurcation diagram, dynamic characteristics of the system were analyzed, and the effects of system control parameters and initial state on the system dynamic behavior were explored.This volume covers topics on all fields of research related to Mechanical Engineering and Automation, including Mechatronics, Intelligent Control, Vehicle Engineering, Detection and Sensing Technology, Intelligent Optimization Algorithms, etc., increasing the number of scientific publications for science and technology innovation in related fields.We would like to thank all the participants in the International Conference on Mechanical Engineering and Automation. We would also like to thank the Conference Chairs, all the Technical Program Committee and Organizing Committee members, for the work and preparation they put in to organize this event. Finally, our special acknowledgements go to the Journal of Physics: Conference Series, for the endeavor of all its colleagues in publishing this paper volume.The Committee of MEA 2022List of Committee Member is available in this pdf.

New 5D Hyperchaotic System Derived from the Sprott C System: Properties and Anti Synchronization

New 5D Hyperchaotic System Derived from the Sprott C System: Properties and Anti Synchronization

Multi-vortex hyperchaotic systems based on memristors and their application to image encryption

In this paper, a new memristor-based fourth-order hyperchaotic circuit that can generate multiple vortex volumes is constructed with the aid of a cosine memristor proposed by scholars. Thanks to the properties of cosine memristors, we find new hyperchaotic systems with full even symmetry based on parameters. The new system can produce multi-vortex properties with infinite equilibrium points and exhibits extreme multi-stability phenomena with the coexistence of an infinite number of attractors. After further study of phase trajectory diagrams, Lyapunov exponential spectrum, bifurcation diagrams, intermittent chaos and transient phenomena, we find that there are complex state transfer phenomena such as period 1 windows, chaos, multiperiodic bifurcations, multi-periodic windows and hyperchaotics, which are constantly alternating. In terms of circuit implementation, Multisim was used to build the circuit and to realise the characteristics of the memristor and the simulation of the hyperchaotic circuit. Finally, a DNA encryption algorithm is designed based on memristor hyperchaotic system, with emphasis on adjacent pixel correlation, encryption histogram, key sensitivity, anti-cropping and anti-noise performance. The results show that the new system has a very large key space, strong key sensitivity, outstanding anti-cropping, and anti-noise performance. The proposed hyperchaotic system thus has high security performance when applied to image encryption.

Qualitative analysis of a new 6D hyper-chaotic system via bifurcation, the Poincaré notion, and its circuit implementation

Qualitative analysis of a new 6D hyper-chaotic system via bifurcation, the Poincaré notion, and its circuit implementation

A Smart Image Encryption Technology via Applying Personal Information and Speaker-Verification System

In this paper, a framework for authorization and personal image protection that applies user accounts, passwords, and personal I-vectors as the keys for ciphering the image content was developed and connected. There were two main systems in this framework. The first involved a speaker verification system, wherein the user entered their account information and password to log into the system and provided a short voice sample for identification, and then the algorithm transferred the user’s voice (biometric) features, along with their account and password details, to a second image encryption system. For the image encryption process, the account name and password presented by the user were applied to produce the initial conditions for hyper-chaotic systems to generate private keys for image-shuffling and ciphering. In the final stage, the biometric features were also applied to protect the content of the image, so the encryption technology would be more robust. The final results of the encryption system were acceptable, as a lower correlation was obtained in the cipher images. The voice database we applied was the Pitch Tracking Database from the Graz University of Technology (PTDB-TUG), which provided the microphone and laryngoscope signals of 20 native English speakers. For image processing, four standard testing images from the University of Southern California–Signal and Image Processing Institute (USC-SIPI), including Lena, F-16, Mandrill, and Peppers, were presented to further demonstrate the effectiveness and efficiency of the smart image encryption algorithm.

Minimal underactuated synchronization with applications to secure communication

This work deals with the synchronization of a class of underactuated hyperchaotic systems. The proposed method is based on Lyapunov theory, and it assumes a small initial synchronization error to simplify the synchronizer structure. The proposed synchronization method ensures the convergence of the synchronization error to a neighborhood of the origin, even employing a scalar proportional control law and in the presence of full-state disturbances. A comparison study is accomplished to depict the advantages of the proposed method. Furthermore, a secure communication system based on the proposed synchronization approach is implemented using analog electronics to show a typical application.

The zero-Hopf bifurcations of a new hyperchaotic system

Abstract The aim of this work is to study the existence of zero-Hopf bifurcations of a new hyperchaotic system, using the averaging theory of dynamical systems of second order. Furthermore, at most one periodic orbit can bifurcate from the origin of coordinates.

Multibiometric Images Encryption Method Based on Fast Fourier Transform and Hyperchaos

Biometric images are an important means of personal identity verification and identification and are related to personal privacy and property security. To address the problems of poor security and low image reconstruction quality in the encryption and transmission of multibiometric images, a multibiometric images encryption method based on Fast Fourier Transform (FFT) and hyperchaotic system is proposed. First, the FFT is used to transform the multibiometric images from spatial to frequency domain. Then, the initial values of the hyperchaotic Lorenz system are generated using a one-dimensional chaotic logistic system to generate the key stream. Combined with the recoding rules of matrix reconstruction and scrambling without repetition of using multimatrix, the multiple matrices of amplitude and phase in the transform domain are reconstructed to be multiple RGB three-channel color images by using the inverse fast Fourier transform. Then, we combine the two diffusion methods of additive mode and Galois domain diffusion on each color channel to perform confusion and diffusion. Finally, the multiple grayscale images are encrypted to become multiple color images. The experimental results demonstrate that the method can effectively defend against various attacks. In addition, it solves the problem of low reconstruction accuracy that exists in the field of multiple images security.

Hyperchaos, constraints and its stability control in a 6D hyperchaotic particle motion system

Firstly, a novel six-dimensional (6D) hyperchaotic particle motion system is formulated. The equilibrium points and their characteristics, Poincaré sections, Lyapunov exponents, bifurcations and multi-periodic windows are studied. Secondly, we present two nonholonomic constrained systems. In order to analyze the particle motion trajectories under constraints, the explicit equations for constrained systems are given. Based on Lyapunov exponents, Poincaré maps and bifurcations, we can see that the different hyperchaotic phenomena of the particle motion can be generated by introducing nonholonomic constraints. Finally, the stability control of the 6D hyperchaotic particle motion system is realized by separately using constraint control method and linear feedback control method. Numerical simulations of the dynamical behaviors of the six-dimensional hyperchaotic particle motion system are carried out in order to illustrate the complex phenomena of the systems and verify the analysis results.

A lossless image compression and encryption algorithm combining JPEG-LS, neural network and hyperchaotic system

A lossless image compression and encryption algorithm combining JPEG-LS, neural network and hyperchaotic system