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Unformatted text preview: ) G . Note that the last condition is equivalent to (iv): f ( x,y ) V x + g ( x,y ) V y Poincare-Bendixson Theorem Suppose that for some initial condition the solution ( x ( t ) ,y ( t )) enters and does not leave some closed, bounded domain D , and that there are no stationary points in D . Then there is at least one periodic orbit in D ....
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This note was uploaded on 10/19/2011 for the course MATH 3354 taught by Professor Drager during the Fall '08 term at Texas Tech.
- Fall '08