Multistability in the Lorenz System: A Broken Butterfly
2014 ◽
Vol 24
(10)
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pp. 1450131
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Keyword(s):
System A
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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.
2017 ◽
Vol 27
(08)
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pp. 1750128
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Keyword(s):
2019 ◽
Vol 29
(10)
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pp. 1950139
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1999 ◽
Vol 09
(07)
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pp. 1459-1463
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2014 ◽
Vol 24
(06)
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pp. 1450086
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Keyword(s):
2005 ◽
Vol 22
(11)
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pp. 2780-2783
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2014 ◽
Vol 24
(03)
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pp. 1450034
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