Limit Cycles from Hopf Bifurcation in Nongeneric Quadratic Reversible Systems with Piecewise Perturbations
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In this paper, we consider a nongeneric quadratic reversible system with piecewise polynomial perturbations. We use the expansion of the first order Melnikov function to obtain the maximal number of small-amplitude limit cycles produced by Hopf bifurcation in the perturbed systems.
2012 ◽
Vol 22
(08)
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pp. 1250203
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2021 ◽
Vol 31
(09)
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pp. 2150123
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2018 ◽
Vol 28
(02)
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pp. 1850026
2018 ◽
Vol 28
(03)
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pp. 1850038
Limit Cycles for a Class of Piecewise Smooth Quadratic Differential Systems with Multiple Parameters
2016 ◽
Vol 26
(10)
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pp. 1650171
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2011 ◽
Vol 21
(11)
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pp. 3341-3357
Limit Cycle Bifurcations for Piecewise Smooth Hamiltonian Systems with a Generalized Eye-Figure Loop
2016 ◽
Vol 26
(12)
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pp. 1650204
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2012 ◽
Vol 22
(12)
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pp. 1250296
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2020 ◽
Vol 30
(15)
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pp. 2050230
2020 ◽
Vol 30
(09)
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pp. 2050126
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