A novel no‐equilibrium hyperchaotic multi‐wing system via introducing memristor

Abstract

SUMMARYIn this paper, a new multi-wing chaotic attractor is constructed. Based on the proposed multi-wing system, the paper presents a novel method to generate hyperchaotic multi-wing attractors. By introducing a flux-controlled memristor into the proposed multi-wing system, hyperchaotic multi-wing attractor is observed in new memristive system. At the same time, the new memristive system has no equilibrium. The phase portraits and Lyapunov exponents are used to analyze the dynamic behaviors of the no-equilibrium memristive system. Moreover, we analyze the influence on multi-wing system when adding the memristor in different position. The electronic circuit is realized by using off-the-shelf components.

CCII and FPGA Realization: A Multistable Modified Fourth-Order Autonomous Chua’s Chaotic System with Coexisting Multiple Attractors

“…Since 1960, the research and application of nonlinear systems have been more and more extensive. Many problems in complex networks [1][2][3][4][5][6][7], memristor [8][9][10][11], electronic circuits [12][13][14][15], image processing [16][17][18][19][20][21], economics [22], and other fields can be attributed to the study of nonlinear systems. Chaos is a special state of motion in a nonlinear system, which is a random-like behavior generated by a deterministic system and is extremely sensitive to initial values and highly dependent on them [23][24][25][26][27][28].…”

“…Many analog implementations of chaotic systems in electronic circuits have been reported in recent decades, such as the well-known breadboard with discrete components [10,13,27,28] and CMOS technology for integrated circuit (IC) design [12,23,24]. However, breadboard is not easy to carry, maintain, and store data, and IC design has a long cycle and high cost [83][84][85][86][87].…”

A Symmetric Controllable Hyperchaotic Hidden Attractor

“…Thus, it is of great value in theoretical and physical significance and engineering application to study the realization method of hidden attractors. The Chua system, Lorenz-like systems, and the chaotic systems with stable equilibria [10][11][12][13][14][15], line equilibria [16][17][18], or no equilibria [19][20][21][22][23][24] give us impressive points. Hyperchaos with higher complexity is beneficial to secure communication, so some research extends to hyperchaos.…”

Constructing multiwing attractors from a robust chaotic system with non-hyperbolic equilibrium points

“…Tahir presented a class of multiwing attractors with no-equilibrium and with an infinite number of equilibrium points respectively, by using a state feedback controller [39]. Jafari [40], Hu [41], Wang [42] and Escalante-González [43,44] also reported a class of multiscroll system without equilibrium. Bouallegue proposed a family of chaotic attractors with separated multiscrolls by combining the Julia fractal process with Chua's attractor and Lorenz's attractor [45].…”