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We propose herein a novel discrete hyperchaotic map based on the mathematical model of a cycloid, which produces multistability and infinite equilibrium points. Numerical analysis is carried out by means of attractors, bifurcation diagrams, Lyapunov exponents, and spectral entropy complexity. Experimental results show that this cycloid map has rich dynamical characteristics including hyperchaos, various bifurcation types, and high complexity. Furthermore, the attractor topology of this map is extremely sensitive to the parameters of the map. The x--y plane of the attractor produces diverse shapes with the variation of parameters, and both the x--z and y--z planes produce a full map with good ergodicity. Moreover, the cycloid map has good resistance to parameter estimation, and digital signal processing implementation confirms its feasibility in digital circuits, indicating that the cycloid map may be used in potential applications.
Chunyi Dong; Kehui Sun; Shaobo He; Huihai Wang. A hyperchaotic cycloid map with attractor topology sensitive to system parameters. Chaos: An Interdisciplinary Journal of Nonlinear Science 2021, 31, 083132 .
AMA StyleChunyi Dong, Kehui Sun, Shaobo He, Huihai Wang. A hyperchaotic cycloid map with attractor topology sensitive to system parameters. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2021; 31 (8):083132.
Chicago/Turabian StyleChunyi Dong; Kehui Sun; Shaobo He; Huihai Wang. 2021. "A hyperchaotic cycloid map with attractor topology sensitive to system parameters." Chaos: An Interdisciplinary Journal of Nonlinear Science 31, no. 8: 083132.
Properly measuring the complexity of time series is an important issue. The permutation entropy (PE) is a widely used as an effective complexity measurement algorithm, but it is not suitable for the complexity description of multi-dimensional data. In this paper, in order to better measure the complexity of multi-dimensional time series, we proposed a modified multivariable PE (MMPE) algorithm with principal component analysis (PCA) dimensionality reduction, which is a new multi-dimensional time series complexity measurement algorithm. The analysis results of different chaotic systems verify that MMPE is effective. Moreover, we applied it to the comlexity analysis of EEG data. It shows that the person during mental arithmetic task has higher complexity comparing with the state before mental arithmetic task. In addition, we also discussed the necessity of the PCA dimensionality reduction.
Dizhen Ma; Shaobo He; Kehui Sun. A Modified Multivariable Complexity Measure Algorithm and Its Application for Identifying Mental Arithmetic Task. Entropy 2021, 23, 931 .
AMA StyleDizhen Ma, Shaobo He, Kehui Sun. A Modified Multivariable Complexity Measure Algorithm and Its Application for Identifying Mental Arithmetic Task. Entropy. 2021; 23 (8):931.
Chicago/Turabian StyleDizhen Ma; Shaobo He; Kehui Sun. 2021. "A Modified Multivariable Complexity Measure Algorithm and Its Application for Identifying Mental Arithmetic Task." Entropy 23, no. 8: 931.
In this paper, a modulation and coupling-based chaotification method is proposed to enhance the nonlinear performance of the one dimensional (1D) chaotic maps. Based on the iterative chaotic map with infinite collapse (ICMIC), a multi-cavity discrete chaotic map named Ellipse ICMIC modulation map (EIMM) is constructed. The simulation results show that the EIMM has more complex dynamical behaviors than the ICMIC, including more complex phase space structure, higher complexity, and larger Lyapunov exponent (LE). And the system can effectively resist parameter identification. Through the expansion of dimension and phase space, the performance of the EIMM is further improved. To better illustrate the practicality of this method, pseudo-random number generators based on the ICMIC and the EIMM are designed. The performance test results of the two output sequences also show the effectiveness of this chaotification method.
Chenyang Wu; Kehui Sun; Yan Xiao. A hyperchaotic map with multi-elliptic cavities based on modulation and coupling. The European Physical Journal Special Topics 2021, 230, 2011 -2020.
AMA StyleChenyang Wu, Kehui Sun, Yan Xiao. A hyperchaotic map with multi-elliptic cavities based on modulation and coupling. The European Physical Journal Special Topics. 2021; 230 (7-8):2011-2020.
Chicago/Turabian StyleChenyang Wu; Kehui Sun; Yan Xiao. 2021. "A hyperchaotic map with multi-elliptic cavities based on modulation and coupling." The European Physical Journal Special Topics 230, no. 7-8: 2011-2020.
In this paper, a fractional-order memristive model with infinite coexisting attractors is investigated. The numerical solution of the system is derived based on the Adomian decomposition method (ADM), and its dynamic behaviors are analyzed by means of phase diagrams, bifurcation diagrams, Lyapunov exponent spectrum (LEs), dynamic map based on SE complexity and maximum Lyapunov exponent (MLE). Simulation results show that it has rich dynamic characteristics, including asymmetric coexisting attractors with different structures and offset boosting. Finally, the digital signal processor (DSP) implementation verifies the correctness of the solution algorithm and the physical feasibility of the system.
Chuan Qin; Kehui Sun; Shaobo He. Characteristic Analysis of Fractional-Order Memristor-Based Hypogenetic Jerk System and Its DSP Implementation. Electronics 2021, 10, 841 .
AMA StyleChuan Qin, Kehui Sun, Shaobo He. Characteristic Analysis of Fractional-Order Memristor-Based Hypogenetic Jerk System and Its DSP Implementation. Electronics. 2021; 10 (7):841.
Chicago/Turabian StyleChuan Qin; Kehui Sun; Shaobo He. 2021. "Characteristic Analysis of Fractional-Order Memristor-Based Hypogenetic Jerk System and Its DSP Implementation." Electronics 10, no. 7: 841.
To improve the dynamical behaviors of 1D chaotic maps, a new linear-delay-modulation method (LDM) is proposed. Derived from the Sine map, a delayed Sine map (DSM) is proposed based on the LDM. Then, we substitute the Sine map in the SIMM system with DSM and obtained a delayed SIMM system (DSIMM). Its chaotic performance is analyzed through the phase diagram, Lyapunov exponent spectrum, and complexity. The results show that the delayed chaotic map can generate more complex dynamical behaviors and more random sequences. Hence, we apply the two delayed systems to a novel image encryption algorithm with the permutation-confusion-diffusion architecture. Firstly, to permutate the pixel of the image efficiently, the plain-image is scrambled by using a multilayer of the nonlinear index. Secondly, the image is confused by using the chaotic matrix generated with two chaotic sequences, and then, the ciphertext is transformed into a 1D sequence. Finally, to improve the plaintext sensitivity and facilitate key management, we enhance the sensitivity by applying a novel diffusion algorithm instead of using plaintext-related keystream. The diffusion equation contains the sum of undiffused pixels and the operation of cyclic bit-shift. Simulation results for the gray image illustrate the effectiveness of the proposed encryption algorithm.
Pengcheng He; Kehui Sun; Congxu Zhu. A Novel Image Encryption Algorithm Based on the Delayed Maps and Permutation-Confusion-Diffusion Architecture. Security and Communication Networks 2021, 2021, 1 -16.
AMA StylePengcheng He, Kehui Sun, Congxu Zhu. A Novel Image Encryption Algorithm Based on the Delayed Maps and Permutation-Confusion-Diffusion Architecture. Security and Communication Networks. 2021; 2021 ():1-16.
Chicago/Turabian StylePengcheng He; Kehui Sun; Congxu Zhu. 2021. "A Novel Image Encryption Algorithm Based on the Delayed Maps and Permutation-Confusion-Diffusion Architecture." Security and Communication Networks 2021, no. : 1-16.
By applying the Adams-Bashforth-Moulton method (ABM), this paper explores the complexity and synchronization of a fractional-order laser dynamical model. The dynamics under the variance of derivative order q and parameters of the system have examined using the multiscale complexity algorithm and the bifurcation diagram. Numerical simulation outcomes demonstrate that the system generates chaos with the decreasing of q. Moreover, this paper designs the coupled fractional-order network of laser systems and subsequently obtains its numerical solution using ABM. These solutions have demonstrated chimera states of the proposed fractional-order laser network.
Shaobo He; Hayder Natiq; Santo Banerjee; Kehui Sun. Complexity and Chimera States in a Network of Fractional-Order Laser Systems. Symmetry 2021, 13, 341 .
AMA StyleShaobo He, Hayder Natiq, Santo Banerjee, Kehui Sun. Complexity and Chimera States in a Network of Fractional-Order Laser Systems. Symmetry. 2021; 13 (2):341.
Chicago/Turabian StyleShaobo He; Hayder Natiq; Santo Banerjee; Kehui Sun. 2021. "Complexity and Chimera States in a Network of Fractional-Order Laser Systems." Symmetry 13, no. 2: 341.
Although memristor has been widely discussed in recent years, the topic of memristor in discrete domain is rarely mentioned. This paper presents a higher dimensional chaotic map based on the discrete memristor, and the dynamic behavior of memristor at different positions is investigated by chaotic attractor phase diagram, bifurcation diagram, system state analysis and complexity algorithm. Numerical simulations show that the discrete memristor model can not only enlarge the hyperchaotic region of the original system, but also enhance the system complexity. Furthermore, the change of memristor position in the system leads to different performance. These deserve further study and lay the foundation for the future applications of the discrete memristor.
Yuexi Peng; Shaobo He; Kehui Sun. A higher dimensional chaotic map with discrete memristor. AEU - International Journal of Electronics and Communications 2020, 129, 153539 .
AMA StyleYuexi Peng, Shaobo He, Kehui Sun. A higher dimensional chaotic map with discrete memristor. AEU - International Journal of Electronics and Communications. 2020; 129 ():153539.
Chicago/Turabian StyleYuexi Peng; Shaobo He; Kehui Sun. 2020. "A higher dimensional chaotic map with discrete memristor." AEU - International Journal of Electronics and Communications 129, no. : 153539.
Designing a discrete chaotic system via fractal transformation has become a new method for engineering applications. This method generates new discrete chaotic system through external mechanisms, instead of the traditional way of internal mechanisms. The way of building novel discrete chaotic system is enriched by fractal and mathematical operation. Taking one-dimensional ICMIC map and two-dimensional Hénon map as the seed maps, dynamics of the generated chaotic map is analyzed by bifurcations, complexity and spectrum distribution characteristics. The results show that the new discrete chaotic map has the advantages in complexity and distribution in the parameter space. Finally, the digital circuit of fractal chaotic system is implemented based on DSP technique. The feasibility of the circuit is verified. Therefore, it has good application prospects in secure communication.
Shengqiu Dai; Kehui Sun; Wei Ai; Yuexi Peng. Novel discrete chaotic system via fractal transformation and its DSP implementation. Modern Physics Letters B 2020, 34, 1 .
AMA StyleShengqiu Dai, Kehui Sun, Wei Ai, Yuexi Peng. Novel discrete chaotic system via fractal transformation and its DSP implementation. Modern Physics Letters B. 2020; 34 (Supp01):1.
Chicago/Turabian StyleShengqiu Dai; Kehui Sun; Wei Ai; Yuexi Peng. 2020. "Novel discrete chaotic system via fractal transformation and its DSP implementation." Modern Physics Letters B 34, no. Supp01: 1.
This paper presents an image encryption algorithm based on the compressive sensing and a hyperchaotic map, which includes the permutation, compression and diffusion processes. Firstly, the plain image is transformed using discrete wavelet transform, and the coefficient matrix is obtained. Then, the row and column permutation are applied to achieve a good scrambling effect. Secondly, the permuted coefficient matrix is measured by a measurement matrix, and the measurement matrix is constructed using chaotic sequences generated by the 2D-SLIM map. Finally, the diffusion algorithm based on Galois field multiplication is designed to encrypt the compressed matrix, and the cipher image with small size and high security is obtained. What’s more, the SHA-512 hash value of the plain image is introduced to set the initial values and parameters of the 2D-SLIM map to establish the correlation between the plain image and the algorithm, and it makes the algorithm can resist the known/chosen plaintext attacks. Furthermore, the row and column permutation before compressive sensing successfully improves the compression effect with low compression radio, and the diffusion operation improves the security of this algorithm. Simulations and performance analyses validate the good compression performance and high security of the proposed algorithm.
Qiaoyun Xu; Kehui Sun; Shaobo He; Congxu Zhu. An effective image encryption algorithm based on compressive sensing and 2D-SLIM. Optics and Lasers in Engineering 2020, 134, 106178 .
AMA StyleQiaoyun Xu, Kehui Sun, Shaobo He, Congxu Zhu. An effective image encryption algorithm based on compressive sensing and 2D-SLIM. Optics and Lasers in Engineering. 2020; 134 ():106178.
Chicago/Turabian StyleQiaoyun Xu; Kehui Sun; Shaobo He; Congxu Zhu. 2020. "An effective image encryption algorithm based on compressive sensing and 2D-SLIM." Optics and Lasers in Engineering 134, no. : 106178.
Wei Cheng; Xuemei Xu; Yipeng Ding; Kehui Sun. Stochastic resonance in a single-well potential and its application in rolling bearing fault diagnosis. Review of Scientific Instruments 2020, 91, 064701 .
AMA StyleWei Cheng, Xuemei Xu, Yipeng Ding, Kehui Sun. Stochastic resonance in a single-well potential and its application in rolling bearing fault diagnosis. Review of Scientific Instruments. 2020; 91 (6):064701.
Chicago/Turabian StyleWei Cheng; Xuemei Xu; Yipeng Ding; Kehui Sun. 2020. "Stochastic resonance in a single-well potential and its application in rolling bearing fault diagnosis." Review of Scientific Instruments 91, no. 6: 064701.
The realization of real memristor makes it be a very popular topic in recent years. However, the topic about discrete memristor model is rarely discussed. In this paper, a discrete memristor model is proposed based on the difference theory, and the three fingerprints characteristics are proved for this model according to the definition of the generalized memristor. This discrete model is applied to Hénon map, and we designed a new chaotic map called the discrete memristor-based Hénon map. Its dynamical behaviors are analyzed by attractor phase diagram, bifurcation diagram, Lyapunov exponent spectrum, and spectral entropy complexity algorithm. Simulation results show the performance of Hénon map is improved by applying the discrete memristor.
Yuexi Peng; Kehui Sun; Shaobo He. A discrete memristor model and its application in Hénon map. Chaos, Solitons & Fractals 2020, 137, 109873 .
AMA StyleYuexi Peng, Kehui Sun, Shaobo He. A discrete memristor model and its application in Hénon map. Chaos, Solitons & Fractals. 2020; 137 ():109873.
Chicago/Turabian StyleYuexi Peng; Kehui Sun; Shaobo He. 2020. "A discrete memristor model and its application in Hénon map." Chaos, Solitons & Fractals 137, no. : 109873.
Recently, an effective method called return maps is proposed for the parameter estimation of chaotic systems. However, high time-consumption limits practical applications. In this paper, we focus on this problem, and an improved return maps method is proposed. It combines the differential evolution algorithm with the return maps method, and simplifies the calculation process of Euclidean distance. Numerical simulations are carried out on two fractional-order chaotic systems, and the other five methods are used as the comparison. Results show that the improved method can accurately estimate the parameters of chaotic systems, and it saves much time than does the classical return maps method. Furthermore, the proposed method also exhibits good anti-noise performance.
Yuexi Peng; Kehui Sun; Shaobo He. An Improved Return Maps Method for Parameter Estimation of Chaotic Systems. International Journal of Bifurcation and Chaos 2020, 30, 1 .
AMA StyleYuexi Peng, Kehui Sun, Shaobo He. An Improved Return Maps Method for Parameter Estimation of Chaotic Systems. International Journal of Bifurcation and Chaos. 2020; 30 (4):1.
Chicago/Turabian StyleYuexi Peng; Kehui Sun; Shaobo He. 2020. "An Improved Return Maps Method for Parameter Estimation of Chaotic Systems." International Journal of Bifurcation and Chaos 30, no. 4: 1.
To enrich the processing means of secure communication, a novel synchronization control method is proposed based on parameter estimation technology. Unlike the traditional synchronization method, it does not need the control law and is only implemented by the parameter estimation. To realize the synchronization between two chaotic maps, a hybrid algorithm combining the JAYA algorithm with an improved particle swarm optimization (IPSO) algorithm is proposed for parameter estimation. Because there is no mathematical reasoning process, the novel method’s realization is simple, and it can theoretically be utilized for synchronization of various chaotic maps. In addition, the synchronization with unknown master system structure is also studied. Numerical simulations are carried out in two classical chaotic maps and their fractional-order form. Detailed experimental results demonstrate the effectiveness of the novel synchronization control method.
Yuexi Peng; Kehui Sun; Shaobo He. Synchronization for the integer-order and fractional-order chaotic maps based on parameter estimation with JAYA-IPSO algorithm. The European Physical Journal Plus 2020, 135, 1 -12.
AMA StyleYuexi Peng, Kehui Sun, Shaobo He. Synchronization for the integer-order and fractional-order chaotic maps based on parameter estimation with JAYA-IPSO algorithm. The European Physical Journal Plus. 2020; 135 (3):1-12.
Chicago/Turabian StyleYuexi Peng; Kehui Sun; Shaobo He. 2020. "Synchronization for the integer-order and fractional-order chaotic maps based on parameter estimation with JAYA-IPSO algorithm." The European Physical Journal Plus 135, no. 3: 1-12.
Yan Xiao; Kehui Sun; Shaobo He. Dynamics of a hyperchaotic map with spherical attractor. Physica Scripta 2020, 95, 065215 .
AMA StyleYan Xiao, Kehui Sun, Shaobo He. Dynamics of a hyperchaotic map with spherical attractor. Physica Scripta. 2020; 95 (6):065215.
Chicago/Turabian StyleYan Xiao; Kehui Sun; Shaobo He. 2020. "Dynamics of a hyperchaotic map with spherical attractor." Physica Scripta 95, no. 6: 065215.
Based on the parameter estimation technologies of the chaotic systems, and the chaotic systems which produce chaotic attractors while their parmeters are varied, a new model of the chaotic attractors is proposed. The parameters of the proposed model are varied as same as the state variables of the traditional chaotic attractors. The variation ranges and values of the varied parameters are designed to produce the required chaotic attractors. As the parameter variation of the chaotic systems affects the chaotic attractors, it also affects the Lyaponov exponents and the complexity of the chaotic systems. It affects the construction methods of the chaotic attractor by affecting the point equilibria of the attractor. The results of the numerical simulation show that the variation process of the parameters can positively affect the sensitivity of the system to its initial conditions, which increase the values of the largest Lyapunov exponent. It also stabilizes the complexity level throughout the range of the varied parameters.
Abdulaziz O. A. Alamodi; Kehui Sun; Yuexi Peng. Chaotic attractor with varied parameters. The European Physical Journal Special Topics 2020, 229, 1095 -1108.
AMA StyleAbdulaziz O. A. Alamodi, Kehui Sun, Yuexi Peng. Chaotic attractor with varied parameters. The European Physical Journal Special Topics. 2020; 229 (6):1095-1108.
Chicago/Turabian StyleAbdulaziz O. A. Alamodi; Kehui Sun; Yuexi Peng. 2020. "Chaotic attractor with varied parameters." The European Physical Journal Special Topics 229, no. 6: 1095-1108.
Images obtained in poor weather circumstances such as fog, haze, smog, and thin cloud, suffer from severe contrast, texture, edge, and color degradation issues. To restore these weather degraded images, haze removal techniques are required. An efficient Gradient channel prior (GCP) is designed in this paper. It overcomes various issues such as texture distortion, transmission map misestimation, color distortion, and edge degradation. Thereafter, the transmission map is further refined using a guided L0 filter. Finally, the restoration model is also improved to reduce the over-saturation of pixels problem associated with the existing haze removal techniques. Extensive experimental results demonstrate that the proposed technique can significantly restore the hazy images, even if images contain high density of haze.
Manjit Kaur; Dilbag Singh; Vijay Kumar; Kehui Sun. Color image dehazing using gradient channel prior and guided L0 filter. Information Sciences 2020, 521, 326 -342.
AMA StyleManjit Kaur, Dilbag Singh, Vijay Kumar, Kehui Sun. Color image dehazing using gradient channel prior and guided L0 filter. Information Sciences. 2020; 521 ():326-342.
Chicago/Turabian StyleManjit Kaur; Dilbag Singh; Vijay Kumar; Kehui Sun. 2020. "Color image dehazing using gradient channel prior and guided L0 filter." Information Sciences 521, no. : 326-342.
In this paper, dynamics and complexity of the integer-order and fractional-order centrifugal flywheel governor systems are investigated numerically by the bifurcation diagram, Lyapunov exponents (LCEs), chaos diagram and spectral entropy (SE) algorithm separately. Moreover, the effect of periodic force and stochastic noise on the dynamics and complexity of the integer-order and fractional-order systems also are analyzed. Finally, the multistability of the system is discussed by coexisting attractors and the basins of attraction. The results show that the fractional-order system has rich dynamical behaviours. Stochastic noise has a great effect on dynamics and complexity of the integer-order and fractional-order systems. The high complexity region is determined and SE complexity can indicate different state of the system effectively. And the integer-order and fractional-order systems show multistability with the variation of initial conditions.
Bo Yan; Shaobo He; Kehui Sun; Shaojie Wang. Complexity and Multistability in the Centrifugal Flywheel Governor System With Stochastic Noise. IEEE Access 2020, 8, 30092 -30103.
AMA StyleBo Yan, Shaobo He, Kehui Sun, Shaojie Wang. Complexity and Multistability in the Centrifugal Flywheel Governor System With Stochastic Noise. IEEE Access. 2020; 8 (99):30092-30103.
Chicago/Turabian StyleBo Yan; Shaobo He; Kehui Sun; Shaojie Wang. 2020. "Complexity and Multistability in the Centrifugal Flywheel Governor System With Stochastic Noise." IEEE Access 8, no. 99: 30092-30103.
Based on a simplified model, the methods and rules for generating multi-cavity chaotic map are presented. On this basis, a new rhombic cavity hyperchaotic map is constructed. Some typical dynamic properties of the new system are investigated, including phase trace, Lyapunov exponent spectrum (LEs) and bifurcations. The results show that the new chaotic map has rich dynamical behaviors, including complicated phase space trajectory, hyperchaotic behavior, large Lyapunov exponent. By changing the system parameters, the rhombic cavity with adjustable size and number are obtained. The rhombic cavity hyperchaotic map is improved to the multi-directional mode which has more complex topological structure than the original system. The complexity of the improved system is high at the entire parameter space. To verify the validity of the model and the feasibility of the systems, the digital circuits of the rhombic cavity hyperchaotic maps are implemented based on DSP technique. This lays a foundation for the application of these hyperchaotic maps in chaotic secure communication.
Yan Xiao; Kehui Sun; Shaobo He. Constructing chaotic map with multi-cavity. The European Physical Journal Plus 2020, 135, 21 .
AMA StyleYan Xiao, Kehui Sun, Shaobo He. Constructing chaotic map with multi-cavity. The European Physical Journal Plus. 2020; 135 (1):21.
Chicago/Turabian StyleYan Xiao; Kehui Sun; Shaobo He. 2020. "Constructing chaotic map with multi-cavity." The European Physical Journal Plus 135, no. 1: 21.
Researches on the fracmemristor have aroused increasing interest in the last several years, but there are no reports on design of the discrete fracmemristor. Based on the fractional-order difference and the mathematical model of the charge-controlled memristor, the discrete fracmemristor is designed where the amount of charge is determined by a fractional-order discrete system. In the numerical simulations, it shows that the pinched hysteresis loops are observed, which imply that the proposed memristor satisfies the definition of the memristor. As an application, the fracmemristor sine map is designed, and multistability is observed regarding the initial conditions of both the memristor and system. It provides a potential model for different applications such as cellular neural networks, modulators, sensors, chaotic systems, and programmable digital circuits.
S. He; K. Sun; Yuexi Peng; L. Wang. Modeling of discrete fracmemristor and its application. AIP Advances 2020, 10, 015332 .
AMA StyleS. He, K. Sun, Yuexi Peng, L. Wang. Modeling of discrete fracmemristor and its application. AIP Advances. 2020; 10 (1):015332.
Chicago/Turabian StyleS. He; K. Sun; Yuexi Peng; L. Wang. 2020. "Modeling of discrete fracmemristor and its application." AIP Advances 10, no. 1: 015332.
A new higher-dimensional hyperchaotic map, named Sine Chebyshev modulation map (SCMM), is proposed based on the closed-loop modulation coupling (CMC) model. The dynamics of the SCMM are evaluated by attractor diagrams, Lyapunov exponents and bifurcations. By designing a piecewise-linear function, the SCMM is expanded to the grid multi-cavity form. Dynamical behaviors of the two-dimensional grid multi-cavity SCMM are then analyzed. The results show that it has rich dynamical characteristics, including complicated phase space trajectories, hyperchaotic behaviors, large maximum Lyapunov exponent and typical bifurcations. The complexity of the new grid multi-cavity hyperchaotic map is large in the entire parameter space. Finally, digital circuits of 2D-SCMM and 2D grid multi-cavity SCMM are implemented based on the DSP technique. The feasibility of the circuit is verified, and it lays the foundation for applications in chaotic secure communication.
Yan Xiao; Kehui Sun; Mengyao Yu; Xuemei Xu. Dynamics of a New Multi-Cavity Hyperchaotic Map and Its DSP Implementation. International Journal of Bifurcation and Chaos 2019, 29, 1 .
AMA StyleYan Xiao, Kehui Sun, Mengyao Yu, Xuemei Xu. Dynamics of a New Multi-Cavity Hyperchaotic Map and Its DSP Implementation. International Journal of Bifurcation and Chaos. 2019; 29 (14):1.
Chicago/Turabian StyleYan Xiao; Kehui Sun; Mengyao Yu; Xuemei Xu. 2019. "Dynamics of a New Multi-Cavity Hyperchaotic Map and Its DSP Implementation." International Journal of Bifurcation and Chaos 29, no. 14: 1.