The numbers of periodic orbits hidden at fixed points of n-dimensional holomorphic mappings

DOI10.1017/S0143385708000023zbMath1152.37019OpenAlexW2800268281MaRDI QIDQ3548625

Guang Yuan Zhang

Publication date: 16 December 2008

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385708000023

zbMATH Keywords

complex dynamicsisolated fixed point

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (4)

Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds ⋮ THE NUMBERS OF PERIODIC ORBITS HIDDEN AT FIXED POINTS OF THREE-DIMENSIONAL HOLOMORPHIC MAPPINGS ⋮ The numbers of periodic orbits hidden at fixed points of 2-dimensional holomorphic mappings ⋮ Dold sequences, periodic points, and dynamics

Cites Work

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• Fixed point indices and periodic points of holomorphic mappings
• Fixed point indices of iterated maps
• A remark on the Lefschetz fixed point formula for differentiable maps
• Multiplicities of fixed points of holomorphic maps in several complex variables
• Analytic functional mappings
• Bifurcations of Periodic Points of Holomorphic Maps From C² into C²
• Periodic points of holomorphic maps via Lefschetz numbers

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