Stability, periodicity, and symmetries of certain second-order fractional difference equation with quadratic terms via KAM theory

DOI10.1002/mma.4000zbMath1356.37078OpenAlexW2428751096MaRDI QIDQ2953385

Zehra Nurkanović, Mehmed Nurkanović, Mirela Garić-Demirović

Publication date: 4 January 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4000

zbMATH Keywords

symmetrystabilityperiodicityBirkhoff normal formKAM theoryarea-preserving map

Mathematics Subject Classification ID

Additive difference equations (39A10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30)

Related Items (6)

Global dynamics of certain mix monotone difference equation ⋮ Stability analysis of a certain class of difference equations by using KAM theory ⋮ Stability, Neimark-Sacker bifurcation, and approximation of the invariant curve of certain homogeneous second-order fractional difference equation ⋮ Global asymptotic stability and Naimark-Sacker bifurcation of certain mix monotone difference equation ⋮ Stability and Neimark-Sacker bifurcation of certain mixed monotone rational second-order difference equation ⋮ The solution and dynamic behaviour of some difference equations of seventh order

Cites Work

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