  In this paper, a novel uncertain fractional-orders and parameters' inversion
mechanism via the differential evolution algorithms (DE) with a general
mathematical model is proposed for non-commensurate and hyper fractional
chaotic systems. The problems of fractional-order chaos' inversion estimation
are converted into multiple modal non-negative objective functions'
minimization, which takes fractional-orders and parameters as its particular
independent variables. And the objective is to find optimal combinations of
fractional-orders and systematic parameters by DE in the predefined intervals
for fractional order chaotic systems such that the objective function is
minimized. Simulations are done to estimate a series of non-commensurate and
hyper fractional chaotic systems. The experiments' results show that the
proposed inversion mechanism for fractional-order chaotic systems is a
successful methods with the advantages of high precision and robustness.

Chaotic Dynamics