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Complex Chaotic Attractor via Fractal Transformation

School of Physics and Electronics, Central South University, Changsha 410083, China
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Entropy 2019, 21(11), 1115; https://doi.org/10.3390/e21111115
Received: 10 September 2019 / Revised: 1 November 2019 / Accepted: 12 November 2019 / Published: 14 November 2019
(This article belongs to the Section Complexity)
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. View Full-Text
Keywords: chaos; rotation chaotic attractors; ternary fractal algorithm; dynamics analysis; DSP implementation chaos; rotation chaotic attractors; ternary fractal algorithm; dynamics analysis; DSP implementation
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Dai, S.; Sun, K.; He, S.; Ai, W. Complex Chaotic Attractor via Fractal Transformation. Entropy 2019, 21, 1115.

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