Design and Circuit Implementation of Discrete-Time Chaotic Systems with Modulus of Triangular Wave Functions

Shen, Chaowen; Yu, Simin; Lü, Jinhu

doi:10.1142/s0218127414500485

Cited by 1 publication

(1 citation statement)

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“…Therefore, the generation of a multiscroll chaotic system and its circuit implementation are valuable subjects in research. Currently, many design methods are proposed to generate multiwing or multiscroll chaotic system, such as saw-tooth function [ 12 , 13 , 14 ], hyperbolic tangent function [ 15 , 16 ], hysteresis or saturated sequence [ 17 , 18 , 19 ], piecewise linear control method [ 20 , 21 , 22 ], and so on. Among the proposed schemes, it is common that the system equilibrium points are reconstructed by introducing nonlinear functions [ 23 , 24 , 25 , 26 ].…”

Section: Introductionmentioning

confidence: 99%

Complex Chaotic Attractor via Fractal Transformation

Dai

Sun

et al. 2019

Entropy

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Based on simplified Lorenz multiwing and Chua multiscroll chaotic systems, a rotation compound chaotic system is presented via transformation. Based on a binary fractal algorithm, a new ternary fractal algorithm is proposed. In the ternary fractal algorithm, the number of input sequences is extended from 2 to 3, which means the chaotic attractor with fractal transformation can be presented in the three-dimensional space. Taking Lorenz system, rotation Lorenz system and compound chaotic system as the seed chaotic systems, the dynamics of the complex chaotic attractors with fractal transformation are analyzed by means of bifurcation diagram, complexity and power spectrum, and the results show that the chaotic sequences with fractal transformation have higher complexity. As the experimental verification, one kind of complex chaotic attractors is implemented by DSP, and the result is consistent with that of the simulation, which verifies the feasibility of digital circuit implement.

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