Periodic Orbits Bifurcating from a Nonisolated Zero–Hopf Equilibrium of Three-Dimensional Differential Systems Revisited
2018 ◽
Vol 28
(05)
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pp. 1850058
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Keyword(s):
In this paper, we study the periodic solutions bifurcating from a nonisolated zero–Hopf equilibrium in a polynomial differential system of degree two in [Formula: see text]. More specifically, we use recent results of averaging theory to improve the conditions for the existence of one or two periodic solutions bifurcating from such a zero–Hopf equilibrium. This new result is applied for studying the periodic solutions of differential systems in [Formula: see text] having [Formula: see text]-scroll chaotic attractors.
2013 ◽
Vol 23
(03)
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pp. 1350048
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2015 ◽
Vol 25
(10)
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pp. 1550131
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Keyword(s):
2015 ◽
Vol 25
(11)
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pp. 1550144
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2017 ◽
Vol 149
(1)
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pp. 1-14
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2012 ◽
Vol 468
(2144)
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pp. 2347-2360
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2020 ◽
Vol 18
(01)
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pp. 2150013