The Poincaré-Bendixson Theorem and the Non-linear Cauchy-Riemann Equations

J. B. van den Berg, S. Munao, R. C. A. M. Vandervorst

Fiedler and Mallet-Paret prove a version of the classical Poincaré-Bendixson Theorem for scalar parabolic equations. We prove that a similar result holds for bounded solutions of t…