Article
Physics, Multidisciplinary
Junhong Li, Ning Cui
Summary: This paper presents a new five-dimensional (5D) autonomous hyperchaotic system, obtained by adding two linear controllers to the Rabinovich system. The study analyzes the dynamical behaviors, such as boundedness, dissipativity, invariance, and stability of nonzero equilibrium points. Numerical analysis confirms the existence of hyperchaotic and chaotic attractors through phase trajectories, Lyapunov exponent spectrum, bifurcations, and Poincare maps. The results demonstrate that the new 5D Rabinovich system exhibits rich and complex dynamics. Furthermore, the paper investigates the existence of Hopf bifurcation, stability, and expression using normal form theory and symbolic computations, and verifies the theoretical results through various test cases.
Article
Mathematics
Shunjie Li, Yawen Wu, Xuebing Zhang
Summary: This paper presents a new four-dimensional hyperchaotic system with an exponential term and analyzes its basic dynamical properties and chaotic behavior, confirming the existence of hyperchaos. The synchronization problem for the hyperchaotic system is studied, and an adaptive control law with two inputs is proposed based on Lyapunov stability theory to achieve global synchronization. Numerical simulations validate the proposed control law's correctness.
Article
Computer Science, Interdisciplinary Applications
Kulpash Iskakova, Mohammad Mahtab Alam, Shabir Ahmad, Sayed Saifullah, Ali Akguel, Guelnur Yilmaz
Summary: In this article, a new nonlinear four-dimensional hyperchaotic model is presented and analyzed extensively. The research covers various aspects of the complex system, including equilibrium points, stability, dissipation, bifurcations, Lyapunov exponent, phase portraits, Poincare mapping, attractor projection, sensitivity, and time series analysis. The study also explores hidden attractors and investigates the system in the fractional sense. Theoretical and numerical studies reveal the complex dynamics and stimulating physical characteristics of the model.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2023)
Article
Physics, Fluids & Plasmas
Pablo D. Bergamasco, Gabriel G. Carlo, Alejandro M. F. Rivas
Summary: This article investigates the out-of-time order correlator (OTOC) in open systems, with a focus on the interplay between the effects of scrambling and decoherence. The study reveals the importance of this interplay in explaining the behavior of OTOC in the presence of phase space contracting dissipation. The OTOC decay rate is found to be related to the classical Lyapunov exponent and serves as a sensitive measure to distinguish chaotic from regular behavior.
Article
Computer Science, Information Systems
Rodrigo Daniel Mendez-Ramirez, Adrian Arellano-Delgado, Miguel Angel Murillo-Escobar, Cesar Cruz-Hernandez
Summary: This work presents a new four-dimensional autonomous hyperchaotic system based on the MACM 3D chaotic system, with analytical and numerical studies conducted to analyze its dynamic properties. The continuous and discretized versions of the NHS are simulated and implemented, with a novel study of algorithm performance conducted in an embedded system. The comparison between floating-point and fixed-point formats is implemented using DSP engine of a 16-bit dsPIC microcontroller and two external DACs.
Article
Computer Science, Information Systems
Messaouda Boumaraf, Fatiha Merazka
Summary: Classical cryptosystems may not be suitable for all situations due to their small keyspace and inefficiency, leading to a focus on new secure applications such as hyperchaos-based speech signal encryption systems, which offer unpredictability and randomness as efficient alternatives for data protection.
MULTIMEDIA SYSTEMS
(2021)
Article
Mathematics, Interdisciplinary Applications
Chunlei Fan, Qun Ding
Summary: This study proposes a novel method based on QR decomposition for constructing non-degenerate hyperchaotic maps, which can effectively adjust the Lyapunov exponents and regulate the discrete map. The results demonstrate the significant potential of this method for real-world applications.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Interdisciplinary Applications
Chunlei Fan, Qun Ding
Summary: Due to the limited machine word length, the dynamics of digital chaotic systems degen-erate. To combat this issue, we propose a universal method based on singular value decomposition to construct non-degenerate hyperchaotic systems with desired Lyapunov exponents. We validate the method using a 6-dimensional example system and design a pseudorandom number generator based on the hyperchaotic system for image encryption. Numerical simulations evaluate the security of the encryption algorithm.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Multidisciplinary Sciences
Haiyan Fu, Tengfei Lei
Summary: In this paper, a class of fractional-order symmetric hyperchaotic systems is studied using the Adomian decomposition method. The nonlinear term of a fractional-order chaotic system is decomposed, and the dynamic behavior of a fractional-order hyperchaotic system is analyzed. The results show that the complexity of the system increases with the decrease of the fractional order. A circuit diagram of the system is designed based on the fractional-order circuit design principle and the simulation results are consistent with the numerical simulation, providing a foundation for the engineering applications of fractional-order hyperchaotic systems.
Article
Mathematics, Applied
Ning Cui, Junhong Li
Summary: This paper presents a new four-dimensional hyperchaotic system by introducing a linear controller to a three-dimensional chaotic system. The dynamical behaviors of the new system, including attractors, stability of equilibrium points, and chaos control, are studied through theoretical analysis and numerical simulations.
Article
Mathematics, Interdisciplinary Applications
Mengdi Zhao, Hongjun Liu
Summary: In this study, a general n-dimensional (n = 2) discrete hyperchaotic map (nD-DHCM) model is designed to generate any nondegenerate nD chaotic map with desired Lyapunov exponents by setting the control matrix. The effectiveness of the nD-DHCM is verified through two illustrative examples, which demonstrate the ergodicity of state points within a sufficiently large interval. Furthermore, the relationship between the size of Lyapunov exponent and the randomness of the corresponding state time sequence of the nD-DHCM is analyzed to address the finite precision effect. Moreover, a keyed parallel hash function based on a 6D-DHCM is designed to evaluate the practicability of the nD-DHCM, which shows that nD discrete chaotic maps constructed using nD-DHCM have desirable Lyapunov exponents and can be applied to practical applications.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2023)
Article
Physics, Multidisciplinary
Shunjie Li, Yawen Wu, Gang Zheng
Summary: This paper investigates the adaptive control design for chaos synchronization of two identical hyperchaotic Liu systems. An adaptive control law with two inputs is proposed based on Lyapunov stability theory, and two other control schemes are obtained through further analysis of the proposed adaptive control law. Numerical simulations are presented to validate the effectiveness and correctness of these results.
FRONTIERS IN PHYSICS
(2022)
Article
Physics, Multidisciplinary
Jian Zeng, Yiming Wang, Xinyu Li, Yerui Guang, Chuanfu Wang, Qun Ding
Summary: A new method for designing practical high-dimensional discrete hyperchaotic systems is proposed in this paper. By adding control variables, the method controls the range of the Lyapunov exponents, making it more suitable for engineering applications. Mathematical proof shows that the method ensures finite orbits and bounded Lyapunov exponents of chaotic systems. A 6D discrete hyperchaotic system is created as a practical demonstration of the selective image encryption scheme, confirming the applicability of the method in the field of image encryption.
Article
Mathematics, Interdisciplinary Applications
Alireza Ghomi Taheri, Farbod Setoudeh, Mohammad Bagher Tavakoli, Esmaeil Feizi
Summary: This paper presents a new analytical method, adaptive multi-step differential transform method (adaptive MsDTM), for behavioral analysis of the memcapacitor-based hyperchaotic oscillator. Comparisons between different methods, including MsDTM, adaptive MsDTM, and Runge-Kutta 4th order method (RK4M), are made. A new technique for calculating Lyapunov exponent (LE) based on adaptive MsDTM is proposed. The effect of system parameters on system performance is studied analytically, and the impact of additive noise on system performance is investigated.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Applied
Jiaopeng Yang, Zhaosheng Feng, Zhengrong Liu
Summary: This article investigates a five-dimensional hyperchaotic system with five cross-product nonlinearities, identifying three different types of hyperchaotic and chaotic behaviors and the corresponding attractors. The fundamental dynamics, such as the onset of hyperchaos and chaos, routes to chaos, and coexistence of attractors, are analyzed theoretically and numerically. It is highlighted that the coexisting attractors in the 5D system are symmetrical.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
(2021)
Article
Automation & Control Systems
Yuqing Hao, Qingyun Wang, Zhisheng Duan, Guanrong Chen
Summary: In this article, the discernibility of topological variations for networked linear time-invariant (LTI) systems is investigated. A necessary and sufficient condition is derived, revealing the impact of topological variations, node-system dynamics, and inner interactions on network discernibility. The condition presented is more general than existing conditions. Furthermore, the discernibility of topological variations for multiagent systems is revisited, and a new necessary and sufficient condition is established with broader applicability.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Engineering, Electrical & Electronic
Qing Wang, Xiwang Dong, Jinhu Lu, Zhang Ren
Summary: This paper studies the problem of time-varying output formation tracking for directed multi-agent systems, where the leader has unknown input and each follower has nonidentical dynamics. The main objective of this paper is to construct a fully distributed controller that enables the followers to track the leader's output and realize the expected formation simultaneously. Two adaptive observers are constructed to estimate the states of the leader and followers, respectively, by exploiting neighboring information and local estimation. A fully distributed TVOFT control protocol is developed using the distributed observers and the expected time-varying formation vector, and the parameters of the controller are designed through a three-step algorithm. The TVOFT criteria for the considered closed-loop multi-agent systems are obtained based on the Lyapunov stability theory and output regulation method.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2023)
Article
Automation & Control Systems
Yang Lou, Lin Wang, Shengli Xie, Guanrong Chen
Summary: This paper proposes a hybrid approximation method to estimate the controllability robustness performance of large-scale directed random-graph networks under random edge-removal attacks. Two threshold values are set to classify general random-graph networks as 'dense', 'sparse', or 'median', according to the average degree. Simulation results verify that the proposed method can accurately approximate the controllability curves and is more time-efficient compared to conventional attack simulations.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2023)
Article
Automation & Control Systems
Guoliang Zhu, Kexin Liu, Haibo Gu, Lei Chen, Jinhu Lu
Summary: This article investigates the consensus-based formation control problem in multi-agent systems with unknown disturbances. The proposed node-based adaptive controllers eliminate the effect of disturbances and avoid continuous communications. It is shown that the formation errors tend to zero when the derivatives of disturbances belong to Script capital L2 $$ {\mathcal{L}}_2 $$ space or are bounded by a small threshold. Zeno behaviors and global information are excluded. Numerical simulations validate the effectiveness of the proposed approaches.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Mengfei Niu, Guanghui Wen, Yuezu Lv, Guanrong Chen
Summary: This paper presents a new design of an innovation-based stealthy attack strategy against distributed state estimation over a sensor network. The optimal distributed MMSE estimator is developed by fusing interaction measurements from neighboring nodes in the absence of network attack. The tradeoff between attack stealthiness and attack effects is determined by proposing a stealthy attack framework embedded with an adjustable parameter.
Article
Engineering, Electrical & Electronic
Deyuan Liu, Hao Liu, Jinhu Lu, Frank L. Lewis
Summary: This paper investigates the optimal formation control of a heterogeneous multiagent system consisting of multiple quadrotors and ground vehicles via reinforcement learning to achieve the time-varying formation under switching topologies. A distributed observer is constructed to generate references for each vehicle to form time-varying formation using local information, and the convergence of the observer under switching topologies is proven. Reinforcement learning methods are provided for the heterogeneous vehicle group to realize optimal tracking control without knowledge of the vehicle dynamics model. Simulation tests confirm the effectiveness of the proposed method.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2023)
Article
Automation & Control Systems
Fang Yuan, Shaoyan Li, Yue Deng, Yuxia Li, Guanrong Chen
Summary: In this article, a Cu-doped TiO2-x nanoscale memristor is built and its accurate mathematical model is established. The reliable performance of the memristor and the correctness of its mathematical model are demonstrated through numerical simulations and hardware experiments, revealing its chaotic system dynamics.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2023)
Article
Computer Science, Artificial Intelligence
Zhihong Fang, Shaolin Tan, Yaonan Wang, Jinhu Lu
Summary: In this paper, a neural network based learning method is proposed for link prediction using 1-hop neighborhood information. The method extracts the 1-hop neighborhood of a target link as the enclosing subgraph, encodes the subgraph into different topological features, and trains a fully connected neural network for link prediction. Experimental results show that the proposed method outperforms heuristic-based methods and achieves similar performance to state-of-the-art learning-based methods. Additionally, the features can be concatenated with attribute vectors to greatly improve link prediction performance in attributed graphs.
IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING
(2023)
Article
Computer Science, Information Systems
Choujun Zhan, Yufan Zheng, Lujiao Shao, Guanrong Chen, Haijun Zhang
Summary: The COVID-19 pandemic, caused by SARS-CoV-2, a high mutation rate virus, is still ongoing due to the emergence of new variants with immune-evading properties. This study presents an epidemiological framework to simulate the mutation process and spread of COVID-19 considering multiple variants. The results suggest that several combined intervention strategies are effective in controlling the pandemic, even with a reduced mutation rate of SARS-CoV-2.
INFORMATION SCIENCES
(2023)
Review
Engineering, Multidisciplinary
JianYuan Wang, KeXin Liu, YuCheng Zhang, Biao Leng, JinHu Lu
Summary: The rapid development of deep learning has greatly facilitated production and life, but the reliance on massive labels for training models hinders further progress. Few-shot learning, which can achieve high-performance models with limited samples, offers a solution for scenarios lacking data. This paper provides an overview of recent few-shot learning algorithms and proposes a taxonomy. The paper discusses the significance of few-shot learning, categorizes methods based on different implementation strategies, explores their applications in computer vision, human-machine language interaction, and robot actions, and analyzes existing approaches based on evaluation results on miniImageNet.
SCIENCE CHINA-TECHNOLOGICAL SCIENCES
(2023)
Article
Automation & Control Systems
Ming Cheng, Hao Liu, Qing Gao, Jinhu Lu, Xiaohua Xia
Summary: This article proposes an optimal controller for a team of underactuated quadrotors with multiple active leaders in containment control tasks. The quadrotor dynamics are underactuated, nonlinear, uncertain, and subject to external disturbances. The proposed controller consists of a position control law to guarantee the achievement of position containment and an attitude control law to regulate the rotational motion, which are learned via off-policy reinforcement learning using historical data from quadrotor trajectories. The closed-loop system stability can be guaranteed by theoretical analysis. Simulation results of cooperative transportation missions with multiple active leaders demonstrate the effectiveness of the proposed controller.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Qing Wang, Yongzhao Hua, Xiwang Dong, Peixuan Shu, Jinhu Lu, Zhang Ren
Summary: This article investigates the finite-time output time-varying formation tracking problem for heterogeneous nonlinear multiagent systems. A finite-time observer is constructed to estimate the leader's state and compensate for unknown input. Based on the developed observers and adaptive output regulation method, a novel finite-time distributed output tracking controller is proposed. The results show that the expected finite-time output formation tracking can be achieved within a finite time for the considered heterogeneous nonlinear multiagent systems.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Kunrui Ze, Wei Wang, Kexin Liu, Jinhu Lu
Summary: This article presents a novel method for optimization-based obstacle avoidance and distributed regular polygon time-varying formation control for multiple unmanned aerial vehicle systems (UAVs) in clutter environment. The method involves a leader-following structure with a directed communication graph, real-time trajectory planning for the leader UAV, and an optimization-based safe trajectory and formation size online planning algorithm. The method also includes distributed smooth adaptive filters to estimate the safe trajectory and formation size, as well as a geometric tracking controller for each UAV. Experimental results demonstrate the effectiveness of the proposed method.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2023)
Article
Automation & Control Systems
Zhi Feng, Guoqiang Hu, Xiwang Dong, Jinhu Lu
Summary: This article addresses finite-time connectivity-preserving rendezvous problems of networked uncertain Euler-Lagrange systems, where two types of time-varying leaders are investigated, and only a subset of followers can have access to the leader's trajectory. The distributed estimation and control architecture is then established to solve this problem with an emphasis on the settling-time estimation.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Engineering, Multidisciplinary
Zhi Feng, Guoqiang Hu, Xiwang Dong, Jinhu Lu
Summary: This article presents the design of adaptively distributed Nash Equilibrium (NE) seeking algorithms for heterogeneous general linear multi-agent systems in noncooperative games. The algorithms adjust the edges of the graph to deal with nonidentical dynamics and seeking NE. Global asymptotic convergence is achieved through leveraging monotone and matrix properties.
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2023)