Construct · 1 fields · 1 citations

Poincaré-Bendixson theorem: a standalone construct

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Poincaré-Bendixsontheorem1 CONSTRUCTPoincaré-BendixsonBENDIXSON · DYNAMICAL SYSTEMS

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Dynamical systems

the result that a bounded trajectory of a planar continuous system without equilibria approaches a closed orbit, ruling out chaos in two dimensions.

In dynamical systems, Poincaré-Bendixson theorem refers to the result that a bounded trajectory of a planar continuous system without equilibria approaches a closed orbit, ruling out chaos in two dimensions. This meaning comes from Bendixson (1901) in Acta Mathematica.[1]

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Nearby constructs

Bendixson-Dulac criterion1 fields · 1 citationsanchor · a standalone constructchaos3 fields · 5 citationsjingle · one word, three constructsclosed3 fields · 3 citationsjingle · one word, three constructs

References

  1. Bendixson, I. (1901). Sur les courbes définies par des équations différentielles. Acta Mathematica, 24(0), 1-88. https://doi.org/10.1007/bf02403068

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