Chaos control in the fractional order logistic map via impulses
Chaotic Dynamics
2019-10-02 v1
Abstract
In this paper the chaos control in the discrete logistic map of fractional order is obtained with an impulsive control algorithm. The underlying discrete initial value problem of fractional order is considered in terms of Caputo delta fractional difference. Every steps, the state variable is instantly modified with the same impulse value, chosen from a bifurcation diagram versus impulse. It is shown that the solution of the impulsive control is bounded. The numerical results are verified via time series, histograms, and the 0-1 test. Several examples are considered
Keywords
Cite
@article{arxiv.1909.07110,
title = {Chaos control in the fractional order logistic map via impulses},
author = {Marius-F. Danca and Michal Feckan and Nikolay Kuznetsov},
journal= {arXiv preprint arXiv:1909.07110},
year = {2019}
}
Comments
Nonlinear Dynamics, accepted 2019