Int. J. Bifurc. Chaos最新文献

A New Memristive System with Extreme Multistability and Hidden Chaotic Attractors and with Application to Image Encryption 具有极端多稳定性和隐藏混沌吸引子的新型记忆系统及其在图像加密中的应用

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s021812742450010x

Guangzhe Zhao, He Zhao, Yunzhen Zhang, Xinlei An

{"title":"A New Memristive System with Extreme Multistability and Hidden Chaotic Attractors and with Application to Image Encryption","authors":"Guangzhe Zhao, He Zhao, Yunzhen Zhang, Xinlei An","doi":"10.1142/s021812742450010x","DOIUrl":"https://doi.org/10.1142/s021812742450010x","url":null,"abstract":"Chaotic systems have proven highly beneficial in engineering applications. Pseudo-random numbers produced by chaotic systems have been used for secure communication, notably image encryption. Specific characteristics can increase the chaotic behavior of the system by adding complexity and nonlinearity. The three most well-known characteristics are memristive properties, multistability (coexisting attractors), and hidden attractors. These characteristics strengthen the produced time series’ unpredictability and randomness, strengthening an encryption algorithm’s resistance to many attacks. This study introduces a unique four-dimensional chaotic system with extreme multistability with respect to three initial conditions (including the memristor initial condition) and all previously known properties. It is rare to find an extreme multistable system like this. This system is coupled with a quadratic flux-controlled memristor based on the well-known Sprott J system. This system has a line of unstable equilibrium points with hidden attractors. The memristor displays the characteristic pinched hysteresis loops, where the area inside a loop and the voltage frequency are inversely related. A comprehensive dynamical analysis thoroughly examines all system characteristics and initial conditions. The numerical findings are carefully verified, and an analog circuit is successfully built and simulated. The chaotic sequences generated by this system are combined with deoxyribonucleic acid (DNA) operations and the global bit scrambling (GBS) technique to create an image encryption algorithm that has strong resistance to a variety of potential attacks, including noise, statistical, exhaustive, differential, and cropping attacks.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"18 1-2","pages":"2450010:1-2450010:25"},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140520398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

2D Generating Surfaces and Dividing Surfaces in Hamiltonian Systems with Three Degrees of Freedom 具有三个自由度的哈密顿系统中的二维生成曲面和分割曲面

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s0218127424300027

M. Katsanikas, Stephen Wiggins

引用次数: 0

Global Analysis of Riccati Quadratic Differential Systems 里卡提二次微分系统的全局分析

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s0218127424500044

Joan C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe

引用次数: 0

Four Novel Dual Discrete Memristor-Coupled Hyperchaotic Maps 四种新型双离散 Memristor 耦合超混沌映射

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s0218127424300015

Shaohua Zhang, Cong Wang, Hongli Zhang

{"title":"Four Novel Dual Discrete Memristor-Coupled Hyperchaotic Maps","authors":"Shaohua Zhang, Cong Wang, Hongli Zhang","doi":"10.1142/s0218127424300015","DOIUrl":"https://doi.org/10.1142/s0218127424300015","url":null,"abstract":"Unlike the high-dimensional hyperchaotic system based on a continuous memristor, the low-dimensional map coupled by discrete memristor (DM) and traditional chaotic map can also generate hyperchaos. However, the hyperchaotic map constructed by two DMs has not attracted much attention. To this end, a generalized two-dimensional dual DM-coupled hyperchaotic mapping model is reported in this paper, and four specific maps are provided. The proposed maps have line invariant points, which can be interpreted as allowing arbitrary real values for the initial condition associated with the DM, and the stability is investigated in detail. Furthermore, the coupling strength-dependent and initial condition-dependent complex dynamics of four maps are studied by numerical simulations, and the dynamical performance is evaluated from the perspective of quantitative analysis. It is shown that the considered maps are capable of exhibiting the three characteristic fingerprints of memristors in arbitrary parameter spaces, and this characteristic has gained attention for the first time. In particular, the complete control of the considered maps by variable substitution is performed, which can generate arbitrary switched hyperchaotic behaviors. In addition, four pseudo-random number generators are designed based on the proposed maps, and the randomness is tested by using the NIST SP800-22 software. In general, the proposed maps can not only generate abundant dynamical behaviors, but also enrich the DM circuits and provide a reference for applications based on chaos. Finally, the developed digital hardware circuit implementation platform verifies the results of the numerical method.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"6 1","pages":"2430001:1-2430001:28"},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140520250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Two Independent Offset Controllers in a Three-Dimensional Chaotic System 三维混沌系统中的两个独立偏移控制器

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s0218127424500081

Chunbiao Li, Yikai Gao, Tengfei Lei, Rita Yi Man Li, Yuanxiao Xu

引用次数: 0

A Hierarchical Multiscenario H.265/HEVC Video Encryption Scheme 分层多场景 H.265/HEVC 视频加密方案

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s0218127424500135

Meng Xing, Hai Yu, Wei Zhang, Zhiliang Zhu

{"title":"A Hierarchical Multiscenario H.265/HEVC Video Encryption Scheme","authors":"Meng Xing, Hai Yu, Wei Zhang, Zhiliang Zhu","doi":"10.1142/s0218127424500135","DOIUrl":"https://doi.org/10.1142/s0218127424500135","url":null,"abstract":"With the pervasive application of video streaming, the security of streaming media information continually faces new challenges. Most existing encryption methods employ uniform criteria for encrypting all scenarios, leading to unnecessary mutual inhibition of algorithm security and coding efficiency. Furthermore, several encryption algorithms are inadequate for high-resolution videos. A novel, independently hierarchical video cryptosystem for H.265/high efficiency video coding (HEVC) is proposed that develops a scene-adaptive encryption strategy tailored for multiscenario videos. Additionally, we fully consider the seeds of pseudo-random number generators, syntax components in compressed codes, and scenario indicators. We analyze the visibility of encrypted videos in different scenarios and the encryption performance of various syntax parameters based on the integration of encryption for three distinct scenario categories to further enhance encryption efficiency and security. The method’s versatility is demonstrated using a diverse array of videos with significant and insignificant inter-frame motion information across varying resolutions. The experimental results from the video datasets indicate that our scheme effectively balances security and coding efficiency. Furthermore, the scene-adaptive approach can be tailored flexibly according to subscriber needs.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"51 2","pages":"2450013:1-2450013:17"},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140520316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

New Class of Discrete-Time Memristor Circuits: First Integrals, Coexisting Attractors and Bifurcations Without Parameters 新型离散时间 Memristor 电路：初积分、共存吸引子和无参数分岔

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s0218127424500019

M. D. Marco, M. Forti, L. Pancioni, Alberto Tesi

{"title":"New Class of Discrete-Time Memristor Circuits: First Integrals, Coexisting Attractors and Bifurcations Without Parameters","authors":"M. D. Marco, M. Forti, L. Pancioni, Alberto Tesi","doi":"10.1142/s0218127424500019","DOIUrl":"https://doi.org/10.1142/s0218127424500019","url":null,"abstract":"The use of ideal memristors in a continuous-time (CT) nonlinear circuit is known to greatly enrich the dynamic behavior with respect to the memristorless counterpart, which is a crucial property for applications in future analog electronic circuits. This can be explained via the flux–charge analysis method (FCAM), according to which CT circuits with ideal memristors have for structural reasons first integrals (or invariants of motion, or conserved quantities) and their state space can be foliated in infinitely many invariant manifolds where they can display different dynamics. The paper introduces a new discretization scheme for the memristor which, differently from those adopted in the literature, guarantees that the first integrals of the CT memristor circuits are preserved exactly in the discretization, and that this is true for any step size. This new scheme makes it possible to extend FCAM to discrete-time (DT) memristor circuits and rigorously show the existence of invariant manifolds and infinitely many coexisting attractors (extreme multistability). Moreover, the paper addresses standard bifurcations varying the discretization step size and also bifurcations without parameters, i.e. bifurcations due to varying the initial conditions for fixed step size and circuit parameters. The method is illustrated by analyzing the dynamics and flip bifurcations with and without parameters in a DT memristor–capacitor circuit and the Poincaré–Andronov–Hopf bifurcation in a DT Murali–Lakshmanan–Chua circuit with a memristor. Simulations are also provided to illustrate bifurcations in a higher-order DT memristor Chua’s circuit. The results in the paper show that DT memristor circuits obtained with the proposed discretization scheme are able to display even richer dynamics and bifurcations than their CT counterparts, due to the coexistence of infinitely many attractors and the possibility to use the discretization step as a parameter without destroying the foliation in invariant manifolds.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"30 8","pages":"2450001:1-2450001:26"},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140524186","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Comparative Analysis of Nonlinear Dynamics of an Angular Velocity System of 2-DOF Aerial Manipulator with Different Physical Parameters 具有不同物理参数的 2-DOF 空中机械手角速度系统的非线性动力学比较分析

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s0218127424500020

Xitong Guo, Xia Li, Pingjuan Niu, Guoyuan Qi

{"title":"Comparative Analysis of Nonlinear Dynamics of an Angular Velocity System of 2-DOF Aerial Manipulator with Different Physical Parameters","authors":"Xitong Guo, Xia Li, Pingjuan Niu, Guoyuan Qi","doi":"10.1142/s0218127424500020","DOIUrl":"https://doi.org/10.1142/s0218127424500020","url":null,"abstract":"The two-degree-of-freedom (2-DOF) aerial manipulator is composed of a quadrotor aircraft and a 2-DOF manipulator, which significantly expands the scope of grabbing and transporting objects. After the manipulator is installed on the quadrotor, the manipulator and the load will cause serious interference to the quadrotor, resulting in difficulty of system control and even instability. This paper presents a mathematical model of the angular velocity system of the 2-DOF aerial manipulator. The model considers the influence of the manipulator and the load on the quadrotor. Based on this model, the nonlinear dynamics of the angular velocity system of the 2-DOF aerial manipulator are analyzed by solving the equilibrium points, calculating the Lyapunov exponents, analyzing the dynamic bifurcation diagram, and drawing the dynamic region distribution map. It is found that angular velocity can produce the dynamic behaviors of sink, period-doubling, and chaos under certain circumstances. By analyzing the nonlinear dynamic behaviors of the angular velocity system under different manipulator postures, different manipulator configurations, different load masses, and different load resistances, the stability of the angular velocity system is analyzed to guide the use of the aerial manipulator more safely and efficiently.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"99 4","pages":"2450002:1-2450002:26"},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140525000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Bifurcation and Spatiotemporal Patterns of SI Epidemic Model with Diffusion 带扩散的 SI 流行模型的分岔和时空模式

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s0218127424500032

Yani Ma, Hailong Yuan

引用次数: 0

Fractional Cumulative Residual Inaccuracy Information Measure and Its Extensions with Application to Chaotic Maps 分数累积残差不准确信息量及其在混沌地图中的应用扩展

Int. J. Bifurc. Chaos Pub Date : 2024-01-01 DOI: 10.1142/s0218127424500068

Omid Kharazmi, Javier E. Contreras-Reyes

引用次数: 0