Journal
NONLINEAR DYNAMICS
Volume 74, Issue 1-2, Pages 203-212Publisher
SPRINGER
DOI: 10.1007/s11071-013-0958-9
Keywords
Chaos; Bifurcation; Topological horseshoe; Fractional-order system; Analog circuit
Categories
Funding
- Young Scientists Fund of the National Natural Science Foundation of China [11202148]
- National Natural Science Foundation of China [61174094]
- Specialized Research Fund for the Doctoral Program of Higher Education of China [20090031110029]
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The paper first discusses a newly reported fractional-order Lu system of order as low as 2.7 and shows its chaotic characteristics by numerical simulations. Then by using the topological horseshoe theory and computer-assisted proof, the existence of chaos in the system is verified theoretically. Finally, an analog hardware circuit is made for the fractional-order system, and the observed results demonstrate that the fractional-order Lu system is chaotic in physical experiment.
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