Bifurcations and nondegenerated conditions of higher degree and a new simple proof of the Hopf-Neimark-Sacker bifurcation theorem

DOI10.1006/JMAA.1999.6460zbMath0939.37011OpenAlexW2028012411MaRDI QIDQ1306858

J. C. Valverde Fajardo, F. Balibrea Gallego

Publication date: 5 December 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6460

zbMATH Keywords

fixed pointsiterationrecurrencelocal bifurcationsmooth mapsmooth dynamical system

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Periodic orbits of vector fields and flows (37C27) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (7)

On the Fourier analysis approach to the Hopf bifurcation theorem ⋮ Topological equivalences for one-parameter bifurcations of scalar maps ⋮ Simplest Normal Forms of Hopf–Neimark–Sacker Bifurcations ⋮ Box dimension of Neimark–Sacker bifurcation ⋮ Neimark-Sacker bifurcation for periodic delay differential equations ⋮ BIFURCATIONS ON ELLIPTIC FUNCTIONS ⋮ Cusp and generalized flip bifurcations under higher degree conditions

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