首页|On the dynamics and control of a new fractional difference chaotic map
On the dynamics and control of a new fractional difference chaotic map
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NSTL
Walter De Gruyter
In this paper, we propose and study a fractional Caputo-difference map based on the 2D generalized Henon map. By means of numerical methods, we use phase plots and bifurcation diagrams to investigate the rich dynamics of the proposed map. A 1D synchronization controller is proposed similar to that of Pecora and Carrol, whereby we assume knowledge of one of the two states at the slave and replicate the second state. The stability theory of fractional discrete systems is used to guarantee the asymptotic convergence of the proposed controller and numerical simulations are employed to confirm the findings.
bifurcationdiscrete chaosfractional discrete calculusHenon based mapssynchronizationSYNCHRONIZATION
NSTL
Walter De Gruyter
