Chaotic behaviour of a fractional order self-exciting Faraday disk homopolar dynamo

The fractional order self–exciting Faraday disk homopolar dynamo (FDHD) can be writtenas {}. In this paper, stability analysis of the FDHD is studied by using the fractional Routh–Hurwitz stability conditions.We have studied the local stability of the equilibrium points of FDHD. We applied an efficientnumerical method based on converting the fractional derivative to integer derivative to solvethe FDHD. The chaotic behaviour of the system discussed also.

کلیدواژه ها:

Faraday disk homopolar dynamo ، Routh–Hurwitz conditions ، chaos ، numerical simulation