We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Complex Chaotic Attractor via Fractal Transformation.
- Authors
Dai, Shengqiu; Sun, Kehui; He, Shaobo; Ai, Wei
- Abstract
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.
- Subjects
DIGITAL electronics; BIFURCATION diagrams; FRACTAL analysis; POWER spectra; ATTRACTORS (Mathematics); ROTATIONAL motion
- Publication
Entropy, 2019, Vol 21, Issue 11, p1115
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e21111115