Dynamic analysis and circuit realization of a novel variable-wing 5D memristive hyperchaotic system with line equilibrium

Abstract

By introducing flux-controlled memristor and linear feedback term into the three-dimensional (3D) chaotic system, and using the state feedback control method to increase dimension, a novel variablewing 5D memristive hyperchaotic system has been proposed in this paper. The proposed memristive hyperchaotic system has a line equilibrium point whose position is directly determined by the control parameter. The remarkable feature of the system is that the influence of positive feedback memristor and negative feedback memristor on the system and their similarities and differences are considered. Meanwhile, by analyzing the complex dynamic behavior of the system under different control parameters and initial values, it can be found that the proposed memristive hyperchaotic system shows many interesting phenomena including hidden extreme multistability, transient chaotic transition behavior and variable-wing characteristics. Finally, the hardware electronic circuit of the memristive hyperchaotic system is designed. The hardware experimental results are highly consistent with the numerical simulation ones, which demonstrate the physical realizability of the proposed system.

Novel memristor and memristor-based applications

“…Wan et al [5] introduced a flux-controlled memristor and a linear feedback term to a three-dimensional (3D) nonlinear chaotic system, and a variable-wing fivedimensional (5D) memristive hyperchaotic system was constructed. The proposed 5D system has a line equilibrium point whose position is determined by the control parameter.…”

“…Additionally, the tools for memristor models should be diversified, such as fractional-order derivative, fractional-order difference, analog circuit, and digital circuits. Therefore, memristor-based studies are collected in this volume, including neural systems [1][2][3], multistability and hidden dynamics [4][5][6][7][8][9][10], synchronization controller [11,12], circuits [13][14][15][16][17][18], discrete memristor chaotic maps [19][20][21][22][23], and image encryption applications [24,25]. Some of the contributions discuss several aspects.…”