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Chaos in a fractional order Chua's system

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3 Author(s)
Hartley, T.T. ; Dept. of Electr. Eng., Akron Univ., OH, USA ; Lorenzo, C.F. ; Killory Qammer, H.

This brief studies the effects of fractional dynamics in chaotic systems. In particular, Chua's system is modified to include fractional order elements. By varying the total system order incrementally from 3.6 to 3.7, it is demonstrated that systems of “order” less than three can exhibit chaos as well as other nonlinear behavior. This effectively forces a clarification of the definition of order which can no longer be considered only by the total number of differentiations or by the highest power of the Laplace variable

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:42 ,  Issue: 8 )