Iterative roots of two-dimensional mappings
From MaRDI portal
Publication:6098352
DOI10.1017/s0013091523000147zbMath1525.39017MaRDI QIDQ6098352
Janusz Matkowski, Lin Li, Zhiheng Yu
Publication date: 13 June 2023
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Iteration theory, iterative and composite equations (39B12) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Complex Hénon maps and discrete groups
- Discussion on polynomials having polynomial iterative roots
- Homoclinic bifurcations and the area-conserving Henon mapping
- Iterative roots of piecewise monotonic functions of nonmonotonicity height not less than 2
- On the nonexistence of iterative roots
- A two-dimensional mapping with a strange attractor
- Bifurcation in a coupled logistic map. Some analytic and numerical results
- One-dimensional functional equations
- Dynamics of transcendental Hénon maps
- Generalized Hénon mappings and foliation by injective Brody curves
- Chaotic sub-dynamics in coupled logistic maps
- A rigidity theorem for Hénon maps
- Topological classifications for a class of 2-dimensional quadratic mappings and an application to iterative roots
- On fractional iterates of a Brouwer homeomorphism embeddable in a flow
- Nonexistence of wandering domains for strongly dissipative infinitely renormalizable Hénon maps at the boundary of chaos
- Further analytical bifurcation analysis and applications of coupled logistic maps
- Zur Iteration reeller Funktionen
- On the functional equation $φ^n(x)=g(x)$
- The Center and Cyclicity Problems
- Dynamical Processes on Complex Networks
- Dynamical properties of plane polynomial automorphisms
- When is f(f(z)) = az 2 + bz + c?
- PM functions, their characteristic intervals and iterative roots
- On fractional iterates of a homeomorphism of the plane
- On critical point for two-dimensional holomorphic systems
- Semi-parabolic tools for hyperbolic Hénon maps and continuity of Julia sets in $\mathbb {C}^{2}$
- Boundary of the Horseshoe Locus for the Hénon Family
- ON THE FUNDAMENTAL REGIONS OF A FIXED POINT FREE CONSERVATIVE HÉNON MAP
- Fractional iteration of differentiable functions
- Recent results on functional equations in a single variable, perspectives and open problems
