شماره ركورد كنفرانس :
3503
عنوان مقاله :
Stability analysis and numerical solution of a novel fractional–order chaotic system
Author/Authors :
M. Namjoo School of Mathematical Sciences - Vali–e–Asr University of Rafsanjan , A. Mohammadhasani Sirjan University of Technology
كليدواژه :
Chaos , Grünwald–Letnikov derivative , Stability , Fractional calculus , Nonstandard finite difference scheme
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده لاتين :
In this paper, we introduce a novel three–dimensional fractional–order chaotic system with a
single cubic nonlinearity. Stability analysis of the fractional–order system is studied using the
fractional Routh–Hurwitz criteria. The nonstandard finite difference (NSFD) scheme is implemented
to study the dynamic behaviors in the novel fractional–order chaotic system. The lowest
order for the system to remain chaotic is found via numerical simulation
