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The fractional form of a new three-dimensional generalized Hénon map.
- Source :
-
Advances in Difference Equations . 3/22/2019, Vol. 2019 Issue 1, p1-1. 1p. - Publication Year :
- 2019
-
Abstract
- In this paper, we propose a fractional form of a new three-dimensional generalized Hénon map and study the existence of chaos and its control. Using bifurcation diagrams, phase portraits and Lyapunov exponents, we show that the general behavior of the proposed fractional map depends on the fractional order. We also present two control schemes for the proposed map, one that adaptively stabilizes the fractional map, and another to achieve the synchronization of the proposed fractional map. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LYAPUNOV exponents
*BIFURCATION diagrams
*FRACTIONAL calculus
Subjects
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2019
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 135501523
- Full Text :
- https://doi.org/10.1186/s13662-019-2064-x