Fixed point indices and invariant periodic sets of holomorphic systems

DOI10.1090/S0002-9939-06-08821-6zbMath1121.32007arXivmath/0511285MaRDI QIDQ3420049

Guang Yuan Zhang

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511285

zbMATH Keywords

fixed point indexODEcenter of holomorphic dynamical systems

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Related Items (3)

Local fixed point indices of iterations of planar maps ⋮ Fixed point indices of iterated smooth maps in arbitrary dimension ⋮ The Briot-Bouquet systems and the center families for holomorphic dynamical systems

Cites Work

• Unnamed Item
• On periodic solutions of polynomial O.D.E.'s in the plane
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• The centre conditions for a certain cubic system
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• Dynamics of commuting systems on two-dimensional manifolds
• Isochronous Centers in Planar Polynomial Systems
• Bifurcations of Periodic Points of Holomorphic Maps From C² into C²
• regularity properties of the period function near a center of a planar vector field
• Centre families in two–dimensional complex holomorphic dynamical systems
• A centre theorem for two-dimensional complex holomorphic systems and its generalization
• Singular Points of Complex Hypersurfaces. (AM-61)

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