Tightening Poincaré–Bendixson theory after counting separately the fixed points on the boundary and interior of a planar region
This paper tightens the classical Poincaré–Bendixson theory for a positively invariant, simply-connected compact set $\mathcal M$ in a continuously differentiable planar vector field by further characterizing for any point $p\in \mathcal M$, the composition of the limit sets $\omega (p)$ and $\alpha...
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Main Authors: | Pouria Ramazi, Ming Cao, Jacquelien Scherpen |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2024-06-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10796 |
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