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单词 RollesTheoremForDynamicalSystemsInThePlane
释义

Rolle’s theorem for dynamical systems in the plane


Let ϕ be a smooth planar dynamical system and γ a continuousMathworldPlanetmath curve which has a tangent vector at each point (i.e. γ is differentiableMathworldPlanetmathPlanetmath). Then there is a contact point between any two points of the intersection of γ and a separating solution of ϕ.[KGA]

References

  • KGA Khovanskiĭ, A.G.: Fewnomials. American Mathematical Society, Providence, 1991.
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