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

doi:10.1088/1674-1056/ab9dea

摘要/Abstract

Abstract:

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.

Key words: grid multi-scroll chaotic attractor, Jerk system, specific form of the sine function, circuit implementation

中图分类号: (Oscillations, chaos, and bifurcations)

82.40.Bj

05.45.Pq (Numerical simulations of chaotic systems) 05.45.-a (Nonlinear dynamics and chaos)

Peng-Fei Ding(丁鹏飞), Xiao-Yi Feng(冯晓毅), Cheng-Mao Wu(吴成茂). [J]. 中国物理B, 2020, 29(10): 108202-.

Peng-Fei Ding(丁鹏飞), Xiao-Yi Feng(冯晓毅)†, and Cheng-Mao Wu(吴成茂). Novel two-directional grid multi-scroll chaotic attractors based on the Jerk system[J]. Chin. Phys. B, 2020, 29(10): 108202-.

图/表 12

参考文献 76

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