On the invariant manifolds of the fixed point of a second-order nonlinear difference equation

DOI10.1007/S10883-019-09472-3zbMath1451.39015arXiv1806.04607OpenAlexW2999840852MaRDI QIDQ2198589

Mehmet Turan

Publication date: 10 September 2020

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04607

zbMATH Keywords

normal formcenter manifoldstable manifoldunstable manifold

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Invariant manifold theory for dynamical systems (37D10) Stability theory for difference equations (39A30)

Related Items (1)

Computation of the normal form as well as the unfolding of the vector field with zero-zero-Hopf bifurcation at the origin

Cites Work

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• Asyptotics for linear difference equations I:basic theory
• ASYMPTOTIC APPROXIMATIONS OF THE STABLE AND UNSTABLE MANIFOLD OF THE FIXED POINT OF A CERTAIN RATIONAL MAP BY USING FUNCTIONAL EQUATIONS

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