CAJ | 학술논문

构造了一个新的超混沌系统，通过 Matlab 绘制其相轨迹图，初步判断该系统具有混沌吸引子。从平衡点、对称性和不变性、耗散性和混沌吸引子的存在性、Lyapunov 指数谱以及 Poincare 截面，对该新超混沌系统从定性和定量方面进行了详细的动力学分析，加深了对该超混沌系统的认识。最后，搭建了 Multisim 电路对该超混沌系统进行电路仿真实验，实验结果与 Matlab 数值模拟结果相一致，验证了该系统的实际超混沌特性。
구조료일개신적초혼돈계통，통과 Matlab 회제기상궤적도，초보판단해계통구유혼돈흡인자。종평형점、대칭성화불변성、모산성화혼돈흡인자적존재성、Lyapunov 지수보이급 Poincare 절면，대해신초혼돈계통종정성화정량방면진행료상세적동역학분석，가심료대해초혼돈계통적인식。최후，탑건료 Multisim 전로대해초혼돈계통진행전로방진실험，실험결과여 Matlab 수치모의결과상일치，험증료해계통적실제초혼돈특성。
A new hyperchaos system was constructed . The space trajectory indicates that the system contains chaotic attractor . The chaotic complex dynamic characteristics of the new hyperchaos system were analyzed , including the equilibrium point , the sym-metry , the dissipativity , the Lyapunov exponents and the Poincare map . These characteristics enable us to know the system deeply . And then the hyperchaos circuit was built to verify the practical value of the hyperchaos system .