Phase Portraits of Polynomial Systems Satisfying the Caushy - Riemann Conditions
E. P. Volokitin, S. A. Treskov, V. V. Cheresiz
TL;DR
This paper classifies all global phase portraits of quadratic and cubic polynomial differential systems that meet the Caushy-Riemann conditions, providing a comprehensive topological analysis.
Contribution
It constructs all global topologically equivalent phase portraits for these systems satisfying the Caushy-Riemann conditions.
Findings
Complete classification of phase portraits for quadratic systems.
Complete classification of phase portraits for cubic systems.
Identification of topological equivalence classes.
Abstract
We study plane quadratic and cubic differential systems satisfying the Caushy - Riemann conditions. We construct all global topologically equivalent phase portraits of the systems.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Quantum chaos and dynamical systems · Lipid metabolism and biosynthesis