%0 Journal Article
%T Computation of Stability Criterion for Fractional Shimizu每Morioka System Using Optimal Routh每Hurwitz Conditions
%A Chang Phang
%A Yong Xian Ng
%J -
%D 2019
%R https://doi.org/10.3390/computation7020023
%X Abstract Nowadays, the dynamics of non-integer order system or fractional modelling has become a widely studied topic due to the belief that the fractional system has hereditary properties. Hence, as part of understanding the dynamic behaviour, in this paper, we will perform the computation of stability criterion for a fractional Shimizu每Morioka system. Different from the existing stability analysis for a fractional dynamical system in literature, we apply the optimal Routh每Hurwitz conditions for this fractional Shimizu每Morioka system. Furthermore, we introduce the way to calculate the range of adjustable control parameter 汕 to obtain the stability criterion for fractional Shimizu每Morioka system. The result will be verified by using the predictor-corrector scheme to obtain the time series solution for the fractional Shimizu每Morioka system. The findings of this study can provide a better understanding of how adjustable control parameter 汕 influences the stability criterion for fractional Shimizu每Morioka system. View Full-Tex
%K Fractional Shimizu每Morioka System
%K stability criterion
%K Optimal Routh每Hurwitz conditions
%K time-fractional dynamical system
%U https://www.mdpi.com/2079-3197/7/2/23