Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:A2L-D
Session:
Number:A2L-D-3
First Example of Hyperchaos in Fractional-Order Systems Without Equilibrium Points
Donato Cafagna, Giuseppe Grassi,
pp.61-64
Publication Date:2015/12/1
Online ISSN:2188-5079
Summary:
The study of fractional-order systems without equilibrium points represents a challenging topic in nonlinear dynamics. Since no paper has been published to date on the presence of hyperchaos in these systems, this paper introduces a new example of fractional hyperchaotic system without equilibrium points. The conducted analysis has shown that hyperchaos exists in the proposed system when its order is as low as 3.84. An interesting application of hyperchaotic synchronization to the considered fractional system is provided.