Journal
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
Volume 14, Issue 8, Pages -Publisher
ASME
DOI: 10.1115/1.4043670
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Funding
- National Nature Science Foundation of China [61603203, 61773010]
- Nature Science Foundation of Shandong Province [ZR2017MF064]
- Scientific Research Plan of Universities in Shandong Province [J18KA352]
- International Collaborative Research Project of Qilu University of Technology [QLUTGJHZ2018020]
- Young Doctorate Cooperation Fund Project of Qilu University of Technology (Shandong Academy of Sciences) [2018BSHZ001]
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Although a large number of hidden chaotic attractors have been studied in recent years, most studies only refer to integer-order chaotic systems and neglect the relationships among chaotic attractors. In this paper, we first extend LE1 of sprott from integer-order chaotic systems to fractional-order chaotic systems, and we add two constant controllers which could produce a novel fractional-order chaotic system with hidden chaotic attractors. Second, we discuss its complicated dynamic characteristics with the help of projection pictures and bifurcation diagrams. The new fractional-order chaotic system can exhibit self-excited attractor and three different types of hidden attractors. Moreover, based on fractional-order finite time stability theory, we design finite time synchronization scheme of this new system. And combination synchronization of three fractional-order chaotic systems with hidden chaotic attractors is also derived. Finally, numerical simulations demonstrate the effectiveness of the proposed synchronization methods.
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