Abstract
Based on the fractional ordinary differential stability theory of dynamical systems and dynamic simulation of generalized predictor - corrector algorithm for numerical simulation, this paper fractional complex dynamic behavior of the system studied. First, theoretical analysis, this paper gives a typical homogeneous fractional order systems in the scope of the order of chaos should meet the necessary conditions; further, through the state bifurcation diagram, Poincare section, and the power spectrum analysis, we numerically Discussed the different orders homogeneous fractional order systems dynamic behavior typical results of the study design appropriate for the engineering and technical personnel chaotic circuit has a certain significance.
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