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Holomorphic flows on simply connected regions have no limit cycles

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Publication:1419473
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DOI10.1023/A:1025821123532zbMath1034.37027OpenAlexW2136871397MaRDI QIDQ1419473

Kevin A. Broughan

Publication date: 14 January 2004

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025821123532


zbMATH Keywords

limit cyclephase portraitholomorphic flow


Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Renormalization of holomorphic dynamical systems (37F25)


Related Items (8)

Gram lines and the average of the real part of the Riemann zeta function ⋮ Piecewise holomorphic systems ⋮ Global phase portrait and local integrability of holomorphic systems ⋮ On trajectories of complex-valued interior transmission eigenvalues ⋮ Corrigendum to ``The holomorphic flow of the Riemann zeta function ⋮ Linear law for the logarithms of the Riemann periods at simple critical zeta zeros ⋮ The holomorphic flow of the Riemann zeta function ⋮ Configurations of critical points in complex polynomial differential equations




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