Analytic invariant curves for an iterative equation related to Ricker-type second-order equation

DOI10.1007/s10114-021-8530-xzbMath1472.39005OpenAlexW3184446780MaRDI QIDQ2044781

Michal Fečkan, Hou Yu Zhao

Publication date: 10 August 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-021-8530-x

zbMATH Keywords

analytic solutioninvariant curvesdifference equationsmall divisor

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Additive difference equations (39A10) Iteration theory, iterative and composite equations (39B12) Symmetries and invariants of dynamical systems (37C79)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global dynamics in a stage-structured discrete-time population model with harvesting
• Analytic invariant curves of a nonlinear second order difference equation
• Small divisors problem in dynamical systems and analytic solutions of the Shabat equation
• The Brjuno functions and their regularity properties
• Analytic invariant curves for an iterative equation related to Pielou's equation
• Periodic and non-periodic solutions in a Ricker-type second-order equation with periodic parameters
• Extinction, periodicity and multistability in a Ricker model of stage-structured populations
• A note on periodic Ricker maps
• A note: all homogeneous second order difference equations of degree one have semiconjugate factorizations
• Invariant curves for planar mappings
• Quadratic invariant curves for a planar mapping
• Linearization of analytic and non-analytic germs of diffeomorphisms of $({\mathbb C},0)$
• The critical function for the semistandard map
• Stability of a Ricker-type competition model and the competitive exclusion principle
• On second-order rational difference equations, part 1
• When does local asymptotic stability imply global attractivity in rational equations?
• Analytic solutions of a functional equation for invariant curves

This page was built for publication: Analytic invariant curves for an iterative equation related to Ricker-type second-order equation