Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 24, Issue 10, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127414501314
Keywords
Lorenz system; coexisting attractor; multistability
Funding
- Jiangsu Overseas Research & Training Program for University Prominent Young and Middle-aged Teachers and Presidents
- 4th 333 High-level Personnel Training Project [15]
- National Science Foundation for Postdoctoral General Program
- Special Founding Program of People's Republic of China [2011M500838, 2012T50456]
- Postdoctoral Research Foundation of Jiangsu Province [1002004C]
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In this paper, the dynamical behavior of the Lorenz system is examined in a previously unexplored region of parameter space, in particular, where r is zero and b is negative. For certain values of the parameters, the classic butterfly attractor is broken into a symmetric pair of strange attractors, or it shrinks into a small attractor basin intermingled with the basins of a symmetric pair of limit cycles, which means that the system is bistable or tristable under certain conditions. Although the resulting system is no longer a plausible model of fluid convection, it may have application to other physical systems.
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