DYNAMIC ANALYSIS AND FPGA IMPLEMENTATION OF FRACTIONAL-ORDER MODEL OF A 5D HOMOPOLAR DISC DYNAMO

Zhouchao Wei,∗ Yingying Li,∗ and Karthikeyan Rajagopal∗∗

Keywords

Hidden attractors, self-excited attractors, disc dynamo, FPGA implementation, fractional order PACS: 02.30.Hq, 02.30.Oz, 05.45.-a

Abstract

Based on 5D self-exciting homopolar disc dynamo, a fractional-order form of 5D homopolar disc dynamo is provided. Considering frac- tional order as bifurcation parameter, we discuss complex dynamical behaviours of the given fractional-order system in view of bifurcation analysis and stability. Finally, FPGA-based hyperchaotic attractor is designed for the fractional-order 5D dynamo.

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