【摘要】 针对非线性动力学行为的特点,利用计算机仿真技术,应用数学微分方程理论以及Matlab软件对超混沌类Lorenz系统的非线性动力学行为及其计算机仿真情况展开具体分析与探索,包括Lorenz系统数学模型及其吸引子、Lyapunov指数和维数、时序波形、功率谱、Poincare映射,以及Lorenz平衡点等。结合3种情况对超混沌类Lorenz系统的计算机仿真进行分析,整体研究成果为同步加密通信工程应用、混沌控制等提供了一定理论依据和实践支持,具有积极的理论与实践意义。更多还原

【Abstract】 According to the characteristics of nonlinear dynamic behavior,the nonlinear dynamic behavior of hyperchaotic Lorenz system and its computer simulation were analyzed and probed with computer simulation technology,the theory of mathematical differential equation and Matlab software,including Lorenz system mathematical model and its attractor,Lyapunov exponent and dimension,time series waveform,power spectrum,Poincare mapping,Lorenz balance point and so on.The computer simulation of the hyperchaotic Lorenz system was analyzed by combining three cases.The overall research results provide some theoretical basis and practical support for the application of synchronous encrypted communication and the control of chaos.It has positive theoretical and practical significance.更多还原