Application of the Poincaré-Bendixson theorem
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ID: 261163
1970
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Abstract
The Poincaré-Bendixson theorem is used to study the level curves of a positive definite function V(x, y), near the origin, and to obtain a short proof of the Brouwer fixed-point theorem in the plane.
| Reference Key |
bhatia1970annaliapplication
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| Authors | N. P. Bhatia;A. C. Lazer;Walter Leighton;N. P. Bhatia;A. C. Lazer;Walter Leighton; |
| Journal | annali di matematica pura ed applicata |
| Year | 1970 |
| DOI |
doi:10.1007/BF02415080
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