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Sufficient and Necessary Center Conditions for the Poincarรฉ Systems ๐‘ƒ ( 2 , 2 ๐‘› ) ( ๐‘› โ‰ค 5 )

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Journal of Applied Mathematics
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Disciplines
  • Mathematics

Abstract

We obtain sufficient and necessary center conditions for the Poincarรฉ system ๐‘ƒ ( 2 , 2 ๐‘› ) ( ๐‘› โ‰ค 5 ) . The necessity of the condition is derived from the first 2 ๐‘› focal values by symbolic computation with Maple, and the sufficiency is proved by Volokitin's method.

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