ON THE STUDY OF LIMIT CYCLES OF THE GENERALIZED RAYLEIGH–LIENARD OSCILLATOR
2004 ◽
Vol 14
(08)
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pp. 2905-2914
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Keyword(s):
The Hopf bifurcation, saddle connection loop bifurcation and Poincaré bifurcation of the generalized Rayleigh–Liénard oscillator Ẍ+aX+2bX3+ε(c3+c2X2+c1X4+c4Ẋ2)Ẋ=0 are studied. It is proved that for the case a<0, b>0 the system has at most six limit cycles bifurcated from Hopf bifurcation or has at least seven limit cycles bifurcated from the double homoclinic loop. For the case a>0, b<0 the system has at most three limit cycles bifurcated from Hopf bifurcation or has three limit cycles bifurcated from the heteroclinic loop.
2018 ◽
Vol 28
(01)
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pp. 1850004
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2017 ◽
Vol 27
(04)
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pp. 1750055
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1999 ◽
Vol 121
(1)
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pp. 101-104
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Keyword(s):
Keyword(s):
2016 ◽
Vol 26
(09)
◽
pp. 1650149
◽
Keyword(s):
Keyword(s):
2020 ◽
Vol 10
(1)
◽
pp. 378-390
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2018 ◽
Vol 28
(02)
◽
pp. 1850026
2007 ◽
Vol 221
(8)
◽
pp. 869-879
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