شماره ركورد كنفرانس :
4079
عنوان مقاله :
Stability analysis and numerical solution of a novel fractional–order chaotic system
پديدآورندگان :
Namjoo .M namjoo@vru.ac.ir School of Mathematical Sciences, Vali–e–Asr University of Rafsanjan , Zibaei .S s.zibaei@stu.vru.ac.ir School of Mathematical Sciences, Vali–e–Asr University of Rafsanjan , Mohammadhasani .A a.mohammadhasani@sirjantech.ac.ir 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 فارسي :
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.
