Dynamics of Newton Maps of Quadratic Polynomial Maps of ℝ2 into Itself
From MaRDI portal
Publication:5120522
DOI10.1142/S021812742030027XzbMath1451.37108OpenAlexW3047975659MaRDI QIDQ5120522
Publication date: 15 September 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021812742030027x
Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Computational methods for invariant manifolds of dynamical systems (37M21)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the iteration of a rational function: Computer experiments with Newton's method
- Newton flows for real equations
- Global aspects of the continuous and discrete Newton method: A case study
- Finding all periodic orbits of maps using Newton methods: Sizes of basins
- Newton's Method and Symbolic Dynamics
- Newton's Method, Circle Maps, and Chaotic Motion
- Iterated function systems and the global construction of fractals
- Newton’s Algorithm and Chaotic Dynamical Systems
- The dynamics of rational transforms: the topological picture
- Historical Development of the Newton–Raphson Method
- CONJECTURES ABOUT SIMPLE DYNAMICS FOR SOME REAL NEWTON MAPS ON ℝ2
- Newton’s method applied to two quadratic equations in ℂ² viewed as a global dynamical system
- Dynamics in One Complex Variable. (AM-160)
- How to find all roots of complex polynomials by Newton's method.