Birkhoff normal forms, KAM theory and time reversal symmetry for certain rational map

DOI10.3390/math4010020zbMath1344.37068OpenAlexW2301255548MaRDI QIDQ272099

Erin Denette, Esmir Pilav, Mustafa R. S. Kulenović

Publication date: 20 April 2016

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math4010020

zbMATH Keywords

symmetryperiodic solutionsBirkhoff normal formKAM theorytime reversaldifference equationarea-preserving map

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Simulation of dynamical systems (37M05) Dynamical aspects of twist maps (37E40) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Related Items (2)

Stability analysis of a certain class of difference equations by using KAM theory ⋮ Solution for rational systems of difference equations of order three

Cites Work

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• Computation of the Stability Condition for the Hopf Bifurcation of Diffeomorphisms on $\mathbb{R}^2 $
• Invariants for some rational recursive sequences with periodic coefficients
• On may's host parasitoid model

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