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 Δ 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.

Original languageEnglish
Pages (from-to)1219-1230
JournalNonlinear Dynamics
Volume98
Issue number2
DOIs
StatePublished - 1 Oct 2019

    Research areas

  • 0-1 test, Caputo delta fractional difference, Discrete logistic map of fractional order, Impulsive chaos control, Lyapunov exponent of discrete maps of fractional order

    Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering

ID: 52006258