Journal
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS
Volume 118, Issue 3, Pages 494-500Publisher
PLEIADES PUBLISHING INC
DOI: 10.1134/S1063776114030121
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Funding
- Jiangsu Overseas Research & Training Program for University Prominent Young and Middle-aged Teachers and Presidents
- 4th 333 High-level Personnel Training Project of Jiangsu Province [15]
- National Science Foundation for Postdoctoral General Program and Special Founding Program of People's Republic of China [2011M500838, 2012T50456]
- Postdoctoral Research Foundation of Jiangsu Province [1002004C]
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A hyperchaotic system with an infinite line of equilibrium points is described. A criterion is proposed for quantifying the hyperchaos, and the position in the three-dimensional parameter space where the hyperchaos is largest is determined. In the vicinity of this point, different dynamics are observed including periodicity, quasi-periodicity, chaos, and hyperchaos. Under some conditions, the system has a unique bistable behavior, characterized by a symmetric pair of coexisting limit cycles that undergo period doubling, forming a symmetric pair of strange attractors that merge into a single symmetric chaotic attractor that then becomes hyperchaotic. The system was implemented as an electronic circuit whose behavior confirms the numerical predictions.
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