Periodic Solutions of Some Polynomial Differential Systems in Dimension 3 via Averaging Theory
2015 ◽
Vol 2015
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pp. 1-10
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Keyword(s):
We provide sufficient conditions for the existence of periodic solutions of the polynomial third order differential systemx.=-y+εP(x,y,z)+h1(t), y.=x+εQ(x,y,z)+h2(t), and z.=az+εR(x,y,z)+h3(t), whereP,Q, andRare polynomials in the variablesx,y, andzof degreen, hi(t)=hi(t+2π)withi=1,2,3being periodic functions,ais a real number, andεis a small parameter.
2013 ◽
Vol 23
(03)
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pp. 1350048
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2015 ◽
Vol 25
(13)
◽
pp. 1550180
◽
2017 ◽
Vol 149
(1)
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pp. 1-14
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2015 ◽
Vol 25
(10)
◽
pp. 1550135
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1995 ◽
Vol 15
(2)
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pp. 126-135
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2012 ◽
Vol 2012
◽
pp. 1-13
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