Newton flows for elliptic functions I
DOI10.1080/17476933.2017.1350853zbMath1388.37023arXiv1609.01267OpenAlexW2963322024MaRDI QIDQ5374215
Gerardus F. Helminck, Frank Twilt
Publication date: 9 April 2018
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.01267
Newton-type methods (49M15) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Dynamics induced by flows and semiflows (37C10) Generic properties, structural stability of dynamical systems (37C20) Meromorphic functions of one complex variable (general theory) (30D30) Elliptic functions and integrals (33E05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Structural stability on two-dimensional manifolds
- The continuous, desingularized Newton method for meromorphic functions
- Nonlinear optimization in finite dimensions. Morse theory, Chebyshev approximation, transversality, flows, parametric aspects
- Newton flows for elliptic functions. II: Structural stability: classification and representation
- Newton flows for elliptic functions III \& IV. Newton flows for elliptic functions III \& IV, pseudo Newton graphs: bifurcation and creation of flows
- On the classification of plane graphs representing structurally stable rational Newton flows
- On the efficiency of algorithms of analysis
- The Newtonian Graph of a Complex Polynomial
- Differential Topology
- Newton flows for elliptic functions: a pilot study†
