Asymptotic dynamics of a difference equation with a parabolic equilibrium
type: Item
instance of: scholarly article
title: Asymptotic dynamics of a difference equation with a parabolic equilibrium
zbMATH Open document ID: 1454.39025
author: Armengol Gasull
author: B. Coll
author: Rafel Prohens
published in: Qualitative Theory of Dynamical Systems
publication date: 2020-10-12T00:00:00Z
full work available at URL: http://ddd.uab.cat/record/232166
Mathematics Subject Classification ID: 39A30
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 39A22
zbMATH DE Number: 7259114
zbMATH Keywords: difference equations
zbMATH Keywords: parabolic equilibrium
zbMATH Keywords: asymptotic development
MaRDI profile type: Publication
OpenAlex ID: W3039424808
cites work: Stable manifolds associated to fixed points with linear part equal to identity.
cites work: The parameterization method for one-dimensional invariant manifolds of higher-dimensional parabolic fixed points
cites work: Invariant manifolds of parabolic fixed points. I: Existence and dependence on parameters
cites work: Invariant manifolds of parabolic fixed points. II: Approximations by sums of homogeneous functions
cites work: Q5551574
cites work: On the asymptotics of nonlinear difference equations
cites work: Inclusion Theorems for Non-linear Difference Equations with Applications
cites work: On the asymptotics of the difference equation
cites work: On the asymptotics of the difference equation y n (1 + y n − 1 … y n − k + 1) = y n − k
cites work: The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces
cites work: The parameterization method for invariant manifolds II: regularity with respect to parameters
cites work: The parameterization method for invariant manifolds. III: Overview and applications
cites work: Complex dynamics
cites work: Invariant manifolds for a class of parabolic points
cites work: Parabolic orbits in the planar three body problem
cites work: Stable curves asymptotic to a degenerate fixed point
cites work: Global stability in some population models
cites work: On the behaviour of the solutions of a second-order difference equation
cites work: A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: rigorous results
cites work: A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi‐Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity
cites work: Permanence and global stability of positive solutions of a nonautonomous discrete ratio-dependent predator-prey model
cites work: Global stability in a nonlinear difference-delay equation model of flour beetle population growth
cites work: Parabolic orbits in the elliptic restricted three-body problem
cites work: A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
cites work: \(\varepsilon\)-neighborhoods of orbits and formal classification of parabolic diffeomorphisms
cites work: Homoclinic orbits and oscillation for the planar three-body problem
cites work: Q3664086
cites work: Q3260727
cites work: Q4452821
cites work: Q4456895
cites work: On the recursive sequence \(x_{n+1}=x_{n-1}/g(x_n)\)
cites work: Asymptotic behavior of a nonlinear difference equation
cites work: Asymptotic behavior of a class of nonlinear difference equations
cites work: On positive solutions of a (\(k+1\))th order difference equation
cites work: On monotone solutions of some classes of difference equations
cites work: On a discrete epidemic model
DOI: 10.1007/S12346-020-00406-0
description: scientific article; zbMATH DE number 7259114