文献类型：期刊文献

中文题名：一类多翼混沌吸引子系统的设计与仿真

英文题名：Design and Simulation of A Class of Multi-Wing Chaotic Attractors Systems

作者：李德奎[1]

第一作者：李德奎

机构：[1]定西师范高等专科学校理科教学部,甘肃定西743000

第一机构：甘肃中医药大学定西校区

年份：2020

卷号：41

期号：1

起止页码：33

中文期刊名：宁夏大学学报：自然科学版

收录：CSTPCD

基金：国家自然科学基金资助项目(61364001);甘肃省自然科学基金资助项目(1610RJZA080);甘肃省高等学校科研项目基金(2017A-155)。

语种：中文

中文关键词：多翼混沌吸引子;超混沌系统;设计与仿真

外文关键词：multi-wing chaotic attractor;hyperchaotic system;design and simulation

摘要：为构造多翼吸引子超混沌系统提出了一种新方法.根据新超混沌系统状态变量z>0,给状态变量z乘以符号函数,得到一个四翼超混沌系统.基于构造的四翼超混沌系统,利用对正余弦型函数取整的方法,分别构造在x轴和z轴方向上产生4(2m-1)翼的超混沌系统.最终,设计出能够同时在x轴和z轴方向上产生多翼吸引子的超混沌系统.本文设计的超混沌系统的吸引子翼数仅与正余弦型函数的振幅大小有关.
A new method is proposed for constructing some hyperchaotic systems with multi-wing attractors.First,according to the state variable z>0 of the new hyperchaotic system,the state variablezis multiplied by symbolic function to obtain a four-wing hyperchaotic system.Then,based on the constructed four-wing hyperch a otic system,two hyperchaotic systems with 4(2m-1)wings are constructed on the axis x and the axis z directions respectively by using the method of round number for sine and cosine function.Finally,a hyperchaotic system is designed which can generate multi-wing attractor on the axis x and the axis z directions,simultaneously.The number of attractor’s wings of the proposed hyperchaotic system is only related to the amplitude of sine and cosine functions.