Bifurcation of Limit Cycles for Some Liénard Systems with a Nilpotent Singular Point
2015 ◽
Vol 25
(05)
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pp. 1550066
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Keyword(s):
In this paper, we first present some general theorems on bifurcation of limit cycles in near-Hamiltonian systems with a nilpotent saddle or a nilpotent cusp. Then we apply the theorems to study the number of limit cycles for some polynomial Liénard systems with a nilpotent saddle or a nilpotent cusp, and obtain some new estimations on the number of limit cycles of these systems.
Bifurcation of limit cycles for a class of cubic polynomial system having a nilpotent singular point
2011 ◽
Vol 218
(4)
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pp. 1161-1165
2014 ◽
Vol 24
(01)
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pp. 1450004
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2017 ◽
Vol 27
(04)
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pp. 1750055
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2012 ◽
Vol 45
(6)
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pp. 772-794
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Keyword(s):
Keyword(s):
2020 ◽
Vol 30
(15)
◽
pp. 2050230
2009 ◽
Vol 19
(12)
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pp. 4117-4130
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2018 ◽
Vol 28
(03)
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pp. 1850038