Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 23, Issue 12, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021812741350199X
Keywords
Multistability; coexisting attractor; attraction basin; butterfly attractor
Funding
- Jiangsu Overseas Research and Training Program for University Prominent Young and Middle-aged Teachers and Presidents
- 4th 333 High-level Personnel Training Project [15]
- Qing Lan Project of Jiangsu Province
- 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 dynamical system with four quadratic nonlinearities is found to display a butterfly strange attractor. In a relatively large region of parameter space the system has coexisting point attractors and limit cycles. At some special parameter combinations, there are five coexisting attractors, where a limit cycle coexists with two equilibrium points and two strange attractors in different attractor basins. The basin boundaries have a symmetric fractal structure. In addition, the system has other multistable regimes where a pair of point attractors coexist with a single limit cycle or a symmetric pair of limit cycles and where a symmetric pair of limit cycles coexist without any stable equilibria.
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