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A Versatile Pulse Control Method to Generate Arbitrary Multidirection Multibutterfly Chaotic Attractors.
- Source :
-
IEEE Transactions on Computer-Aided Design of Integrated Circuits & Systems . Aug2019, Vol. 38 Issue 8, p1480-1492. 13p. - Publication Year :
- 2019
-
Abstract
- In order to overcome the essential difficulties in conventional nonlinear control with iteratively adjusting multiple parameters, a novel method for designing multidirection multibutterfly chaotic attractors (MDMBCAs) without reconstructing nonlinear functions is proposed. By using a unified pulse control in a modified Lorenz system, a family of complete multibutterfly attractors can be produced, including 1-D, 2-D, and 3-D multibutterfly attractors. Theoretical analysis and numerical simulations show that arbitrary MDMBCA all can be generated by conducting the pulse-control in corresponding state variable direction (1-D), plane (2-D), or space (3-D). Meanwhile, the number of butterfly attractors can be controlled with the number of pulsed excitation. Furthermore, we design a module-based unified realization circuit and arbitrary MDMBCA can be obtained by selecting corresponding pulsed-excitation. Our theoretical analysis, MATLAB simulations and circuit experiments together show the effectiveness and universality of the proposed methodology. It should be especially pointed out that the proposed method is a universal scheme and can be applied in the arbitrary double-wing chaotic system. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02780070
- Volume :
- 38
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Computer-Aided Design of Integrated Circuits & Systems
- Publication Type :
- Academic Journal
- Accession number :
- 137645916
- Full Text :
- https://doi.org/10.1109/TCAD.2018.2855121