Periodic Solutions of Some Polynomial Differential Systems in Dimension 3 via Averaging Theory
We provide sufficient conditions for the existence of periodic solutions of the polynomial third order differential system x.=-y+εP(x,y,z)+h1(t), y.=x+εQ(x,y,z)+h2(t), and z.=az+εR(x,y,z)+h3(t), where P, Q, and R are polynomials in the variables x, y, and z of degree n, hi(t)=hi(t+2π) with i=1,2...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/263837 |