Novel two-directional grid multi-scroll chaotic attractors based on the Jerk system  

作　　者：Peng-Fei Ding Xiao-Yi Feng Cheng-Mao Wu 丁鹏飞;冯晓毅;吴成茂(School of Electronics and Information,Northwestern Polytechnical University,Xi'an 710072,China;School of Electronics and Engineering,Xi'an University of Posts and Telecommunications,Xi'an 710121,China)

机构地区：[1]School of Electronics and Information,Northwestern Polytechnical University,Xi'an 710072,China [2]School of Electronics and Engineering,Xi'an University of Posts and Telecommunications,Xi'an 710121,China

出　　处：《Chinese Physics B》2020年第10期541-549,共9页中国物理B（英文版）

摘　　要：A new method is presented to generate two-directional (2D) grid multi-scroll chaotic attractors via a specific form of the sine function and sign function series, which are applied to increase saddle points of index 2. The scroll number in the x-direction is modified easily through changing the thresholds of the specific form of the sine function, while the scroll number in the y-direction is controlled by the sign function series. Some basic dynamical properties, such as equilibrium points, bifurcation diagram, phase portraits, and Lyapunov exponents spectrum are studied. Furthermore, the electronic circuit of the system is designed and its simulation results are given by Multisim 10.

关 键 词：grid multi-scroll chaotic attractor Jerk system specific form of the sine function circuit implementation 

分 类 号：O415.5[理学—理论物理]