Newton flows for elliptic functions: a pilot study†

DOI10.1080/02331930701778965zbMath1143.37036OpenAlexW2039114260MaRDI QIDQ5449016

M. Snuverink, L. van Den Brug, Frank Twilt, Gerardus F. Helminck

Publication date: 10 March 2008

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930701778965

zbMATH Keywords

Newton's methodstructural stabilityphase portraitelliptic functionJacobi functions\(C^{1}\)-topology(distinguished) graph(non)-degenerate functionWeierstrass' \(\wp\)-function

Mathematics Subject Classification ID

Newton-type methods (49M15) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items

Newton flows for elliptic functions. II: Structural stability: classification and representation, Newton flows for elliptic functions I

Cites Work

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