Multistability in a 3D Autonomous System with Different Types of Chaotic Attractors
2021 ◽
Vol 31
(02)
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pp. 2150028
Keyword(s):
This paper investigates multistability in a 3D autonomous system with different types of chaotic attractors, which are not in the sense of Shil’nikov criteria. First, under some conditions, the system has infinitely many isolated equilibria. Moreover, all equilibria are nonhyperbolic and give the first Lyapunov coefficient. Furthermore, when all equilibria are weak saddle-foci, the system also has infinitely many chaotic attractors. Besides, the Lyapunov exponents spectrum and bifurcation diagram are given. Second, under another condition, all the equilibria constitute a curve and there exist infinitely many singular degenerated heteroclinic orbits. At the same time, the system can show infinitely many chaotic attractors.
2015 ◽
Vol 20
(2)
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pp. 148-167
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2019 ◽
Vol 29
(13)
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pp. 1950181
2018 ◽
Vol 28
(12)
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pp. 1850144
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Keyword(s):
2014 ◽
Vol 24
(10)
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pp. 1450133
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2013 ◽
Vol 23
(04)
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pp. 1350074
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2019 ◽
Vol 29
(12)
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pp. 1950166
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2020 ◽
Vol 30
(12)
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pp. 2050168