Conservative chaotic systems have unique advantages over dissipative chaotic systems in the fields of secure communication and pseudo-random number generator because they do not have attractors but possess good traver...Conservative chaotic systems have unique advantages over dissipative chaotic systems in the fields of secure communication and pseudo-random number generator because they do not have attractors but possess good traversal and pseudorandomness. In this work, a novel five-dimensional(5D) Hamiltonian conservative hyperchaotic system is proposed based on the 5D Euler equation. The proposed system can have different types of coordinate transformations and time reversal symmetries. In this work, Hamilton energy and Casimir energy are analyzed firstly, and it is proved that the new system satisfies Hamilton energy conservation and can generate chaos. Then, the complex dynamic characteristics of the system are demonstrated and the conservatism and chaos characteristics of the system are verified through the correlation analysis methods such as phase diagram, equilibrium point, Lyapunov exponent, bifurcation diagram, and SE complexity. In addition, a detailed analysis of the multistable characteristics of the system reveals that many energy-related coexisting orbits exist. Based on the infinite number of center-type and saddle-type equilibrium points, the dynamic characteristics of the hidden multistability of the system are revealed. Then, the National Institute of Standards and Technology(NIST)test of the new system shows that the chaotic sequence generated by the system has strong pseudo-random. Finally, the circuit simulation and hardware circuit experiment of the system are carried out with Multisim simulation software and digital signal processor(DSP) respectively. The experimental results confirm that the new system has good ergodicity and realizability.展开更多
Memristor-based chaotic systems with infinite equilibria are interesting because they generate extreme multistability.Their initial state-dependent dynamics can be explained in a reduced-dimension model by converting ...Memristor-based chaotic systems with infinite equilibria are interesting because they generate extreme multistability.Their initial state-dependent dynamics can be explained in a reduced-dimension model by converting the incremental integration of the state variables into system parameters.However,this approach cannot solve memristive systems in the presence of nonlinear terms other than the memristor term.In addition,the converted state variables may suffer from a degree of divergence.To allow simpler mechanistic analysis and physical implementation of extreme multistability phenomena,this paper uses a multiple mixed state variable incremental integration(MMSVII)method,which successfully reconstructs a four-dimensional hyperchaotic jerk system with multiple cubic nonlinearities except for the memristor term in a three-dimensional model using a clever linear state variable mapping that eliminates the divergence of the state variables.Finally,the simulation circuit of the reduced-dimension system is constructed using Multisim simulation software and the simulation results are consistent with the MATLAB numerical simulation results.The results show that the method of MMSVII proposed in this paper is useful for analyzing extreme multistable systems with multiple higher-order nonlinear terms.展开更多
近年来,图像信息的传输安全性已经成为互联网领域的重要研究方向.本文提出了一种基于量子长短期记忆(quantum long-short term memory,QLSTM)网络的量子图像混沌加密方案.结果发现,因为QLSTM网络具有复杂的结构和较多的参数,应用QLSTM...近年来,图像信息的传输安全性已经成为互联网领域的重要研究方向.本文提出了一种基于量子长短期记忆(quantum long-short term memory,QLSTM)网络的量子图像混沌加密方案.结果发现,因为QLSTM网络具有复杂的结构和较多的参数,应用QLSTM网络对Lorenz混沌序列进行改进,其最大Lyapunov指数比原序列提高2.5465%,比经典长短期记忆(long-short term memory,LSTM)网络改进的序列提高0.2844%,同时在0—1测试中结果更接近1且更稳定,因此QLSTM网络改进的序列具备更优异的混沌性能,更难以被预测,提高了单一混沌系统加密的安全性.运用NCQI(novel quantum representation of color digital images)量子图像表示模型,将原始图像存储为量子态形式,利用QLSTM网络改进的序列分别控制三级径向扩散、量子广义Arnold变换和量子W变换,改变量子图像的灰度值与像素位置,生成最终的加密图像.本文提出的加密方案在统计学特性测试中,实现了RGB三通道平均信息熵均大于7.999,像素数改变率的平均值达99.6047%,统一平均变化强度的平均值为33.4613%,平均相关性为0.0038等,比其他一些传统方法具有更高的安全性,能够抵抗常见的攻击方式.展开更多
基金Project supported by the Heilongjiang Province Natural Science Foundation Joint Guidance Project,China (Grant No.LH2020F022)the Fundamental Research Funds for the Central Universities,China (Grant No.3072022CF0801)。
文摘Conservative chaotic systems have unique advantages over dissipative chaotic systems in the fields of secure communication and pseudo-random number generator because they do not have attractors but possess good traversal and pseudorandomness. In this work, a novel five-dimensional(5D) Hamiltonian conservative hyperchaotic system is proposed based on the 5D Euler equation. The proposed system can have different types of coordinate transformations and time reversal symmetries. In this work, Hamilton energy and Casimir energy are analyzed firstly, and it is proved that the new system satisfies Hamilton energy conservation and can generate chaos. Then, the complex dynamic characteristics of the system are demonstrated and the conservatism and chaos characteristics of the system are verified through the correlation analysis methods such as phase diagram, equilibrium point, Lyapunov exponent, bifurcation diagram, and SE complexity. In addition, a detailed analysis of the multistable characteristics of the system reveals that many energy-related coexisting orbits exist. Based on the infinite number of center-type and saddle-type equilibrium points, the dynamic characteristics of the hidden multistability of the system are revealed. Then, the National Institute of Standards and Technology(NIST)test of the new system shows that the chaotic sequence generated by the system has strong pseudo-random. Finally, the circuit simulation and hardware circuit experiment of the system are carried out with Multisim simulation software and digital signal processor(DSP) respectively. The experimental results confirm that the new system has good ergodicity and realizability.
基金Project supported by the National Natural Science Foundation of China(Grant No.62071411)the Research Foundation of Education Department of Hunan Province,China(Grant No.20B567).
文摘Memristor-based chaotic systems with infinite equilibria are interesting because they generate extreme multistability.Their initial state-dependent dynamics can be explained in a reduced-dimension model by converting the incremental integration of the state variables into system parameters.However,this approach cannot solve memristive systems in the presence of nonlinear terms other than the memristor term.In addition,the converted state variables may suffer from a degree of divergence.To allow simpler mechanistic analysis and physical implementation of extreme multistability phenomena,this paper uses a multiple mixed state variable incremental integration(MMSVII)method,which successfully reconstructs a four-dimensional hyperchaotic jerk system with multiple cubic nonlinearities except for the memristor term in a three-dimensional model using a clever linear state variable mapping that eliminates the divergence of the state variables.Finally,the simulation circuit of the reduced-dimension system is constructed using Multisim simulation software and the simulation results are consistent with the MATLAB numerical simulation results.The results show that the method of MMSVII proposed in this paper is useful for analyzing extreme multistable systems with multiple higher-order nonlinear terms.
文摘近年来,图像信息的传输安全性已经成为互联网领域的重要研究方向.本文提出了一种基于量子长短期记忆(quantum long-short term memory,QLSTM)网络的量子图像混沌加密方案.结果发现,因为QLSTM网络具有复杂的结构和较多的参数,应用QLSTM网络对Lorenz混沌序列进行改进,其最大Lyapunov指数比原序列提高2.5465%,比经典长短期记忆(long-short term memory,LSTM)网络改进的序列提高0.2844%,同时在0—1测试中结果更接近1且更稳定,因此QLSTM网络改进的序列具备更优异的混沌性能,更难以被预测,提高了单一混沌系统加密的安全性.运用NCQI(novel quantum representation of color digital images)量子图像表示模型,将原始图像存储为量子态形式,利用QLSTM网络改进的序列分别控制三级径向扩散、量子广义Arnold变换和量子W变换,改变量子图像的灰度值与像素位置,生成最终的加密图像.本文提出的加密方案在统计学特性测试中,实现了RGB三通道平均信息熵均大于7.999,像素数改变率的平均值达99.6047%,统一平均变化强度的平均值为33.4613%,平均相关性为0.0038等,比其他一些传统方法具有更高的安全性,能够抵抗常见的攻击方式.
