Centering conditions for planar septic systems
We find centering conditions for the following $O$-symmetric system of degree 7: $$displaylines{ dot x=y+ x (H_2 (x,y)+H_6 (x,y)),cr dot y=-x+ y (H_2 (x,y)+H_6 (x,y)), }$$ where $H_2 (x,y)$ and $H_6 (x,y)$ are homogeneous polynomials of degrees 2 and 6, respectively. In some cases, we can find commu...
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| Format: | Article |
| Language: | English |
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Texas State University
2003-04-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/34/abstr.html |