A new four-dimensional quadratic smooth autonomous chaotic system is presented in this paper, which can exhibit periodic orbit and chaos under the conditions on the system parameters. Importantly, the system can gener...A new four-dimensional quadratic smooth autonomous chaotic system is presented in this paper, which can exhibit periodic orbit and chaos under the conditions on the system parameters. Importantly, the system can generate one-, two-, three- and four-scroll chaotic attractors with appropriate choices of parameters. Interestingly, all the attractors are generated only by changing a single parameter. The dynamic analysis approach in the paper involves time series, phase portraits, Poincare maps, a bifurcation diagram, and Lyapunov exponents, to investigate some basic dynamical behaviours of the proposed four-dimensional system.展开更多
In this paper, we propose a novel four-dimensional autonomous chaotic system. Of particular interest is that this novel system can generate one-, two, three- and four-wing chaotic attractors with the variation of a si...In this paper, we propose a novel four-dimensional autonomous chaotic system. Of particular interest is that this novel system can generate one-, two, three- and four-wing chaotic attractors with the variation of a single parameter, and the multi-wing type of the chaotic attractors can be displayed in all directions. The system is simple with a large positive Lyapunov exponent and can exhibit some interesting and complicated dynamical behaviours. Basic dynamical properties of the four-dimensional chaotic system, such as equilibrium points, the Poincare map, the bifurcation diagram and the Lyapunov exponents are investigated by using either theoretical analysis or numerical method. Finally, a circuit is designed for the implementation of the multi-wing chaotic attractors. The electronic workbench observations axe in good agreement with the numerical simulation results.展开更多
为有效改善多图像加密质量及其对数据传输的安全性,提出一种基于超混沌系统的多权限多图像加密算法.首先,将L幅明文图像分别进行分段线性混沌映射(piece-wise linear chaotic map,PWLCM)的双层交叉耦合操作,并通过异或进行合并得到类噪...为有效改善多图像加密质量及其对数据传输的安全性,提出一种基于超混沌系统的多权限多图像加密算法.首先,将L幅明文图像分别进行分段线性混沌映射(piece-wise linear chaotic map,PWLCM)的双层交叉耦合操作,并通过异或进行合并得到类噪声图像;接着,采用最低有效位嵌入算法将类噪声图像嵌入到第L+1幅明文图像信息中,得到半加密图像;最后,通过结合一维的cubic映射和一维帐篷映射,产生一个二维cubic-帐篷混沌映射(two-dimensional cubic-tent modular map,2D-CTMM),利用其对半加密图像扩散后进行双层阶梯置乱,得到密文图像.实验结果表明:所提方法对明文以及密钥十分敏感,密钥空间大,可以有效抵御统计攻击和差分攻击,并且该算法在保证安全性的前提下,实现了用户多权限解密以及用户部分解密工作.展开更多
文摘A new four-dimensional quadratic smooth autonomous chaotic system is presented in this paper, which can exhibit periodic orbit and chaos under the conditions on the system parameters. Importantly, the system can generate one-, two-, three- and four-scroll chaotic attractors with appropriate choices of parameters. Interestingly, all the attractors are generated only by changing a single parameter. The dynamic analysis approach in the paper involves time series, phase portraits, Poincare maps, a bifurcation diagram, and Lyapunov exponents, to investigate some basic dynamical behaviours of the proposed four-dimensional system.
文摘In this paper, we propose a novel four-dimensional autonomous chaotic system. Of particular interest is that this novel system can generate one-, two, three- and four-wing chaotic attractors with the variation of a single parameter, and the multi-wing type of the chaotic attractors can be displayed in all directions. The system is simple with a large positive Lyapunov exponent and can exhibit some interesting and complicated dynamical behaviours. Basic dynamical properties of the four-dimensional chaotic system, such as equilibrium points, the Poincare map, the bifurcation diagram and the Lyapunov exponents are investigated by using either theoretical analysis or numerical method. Finally, a circuit is designed for the implementation of the multi-wing chaotic attractors. The electronic workbench observations axe in good agreement with the numerical simulation results.
