Centre families in two–dimensional complex holomorphic dynamical systems

DOI10.1098/RSPA.1998.0258zbMath0920.34047OpenAlexW2121867916MaRDI QIDQ4224065

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Publication date: 9 September 1999

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1998.0258

zbMATH Keywords

isolated equilibriumcomplex Takens-Bogdanov systemisochronous centre familiessingular point theory of Briot and bouquettwo-dimensional complex holomorphic dynamical system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (4)

From an iteration formula to Poincaré’s Isochronous Center Theorem for holomorphic vector fields ⋮ The Briot-Bouquet systems and the center families for holomorphic dynamical systems ⋮ Normalized symmetric differential operators in the open unit disk ⋮ Fixed point indices and invariant periodic sets of holomorphic systems

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