Title :
Chaos in a fractional order Chua´s system
Author :
Hartley, Tom T. ; Lorenzo, Carl F. ; Qammer, Helen Killory
Author_Institution :
Dept. of Electr. Eng., Akron Univ., OH, USA
fDate :
8/1/1995 12:00:00 AM
Abstract :
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
Keywords :
Chua´s circuit; Laplace equations; chaos; nonlinear dynamical systems; Laplace variable; chaotic systems; fractional dynamics; fractional order Chua´s system; fractional order elements; nonlinear behavior; total system order; Aerodynamics; Aerospace engineering; Analytical models; Chaos; Chemical engineering; Displays; Electromagnetic wave polarization; Fractional calculus; NASA; Nonlinear dynamical systems;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
