Bifurcation and dynamical behaviour of a fractional order Lorenz-Chen-Lu like chaotic system with discretization

摘要

In this article, the dynamical behaviour of a discrete fractional order Lorenz-Chen-Lu like chaotic system is investigated. A discretization process is used to obtain a discrete version. The system has three constants, three fixed points and generates typical chaotic attractors. Numerical verifications are presented for the analysis of dynamical system. The chaotic attractors, bifurcation diagrams and phase portraits are provided for distinctive values of parameters. The sensitivity to initial conditions of the parameter values for the fixed points is also discussed.