Bifurcations under Nondegenerated Conditions of Higher Degree and a New Simple Proof of the Hopf–Neimark–Sacker Bifurcation Theorem-Reference-Cited by-同舟云学术

Bifurcations under Nondegenerated Conditions of Higher Degree and a New Simple Proof of the Hopf–Neimark–Sacker Bifurcation Theorem

Published:1999-09 Issue:1 Volume:237 Page:93-105
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Balibrea Gallego F.,Valverde Fajardo J.C.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference14 articles.

1. F. Balibrea, R. Chacón, and, M. A. López, Some bifurcations in uniparametric families of elliptic maps, Internat. J. Bifur. Chaos Appl. Sci. Engrg, to appear.

2. Applications of Center Manifold Theory;Carr,1981

3. On bifurcations of maps of the interval;Guckenheimer;Invent. Math.,1977

4. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields;Guckenheimer,1983

5. Dynamics and Bifurcations;Hale,1991

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Topological Equivalences for One-parameter Bifurcations of Scalar Maps;Journal of Nonlinear Science;2016-11-16

2. Box dimension of Neimark–Sacker bifurcation;Journal of Difference Equations and Applications;2014-03-07

3. Box dimension and bifurcations of one-dimensional discrete dynamical systems;Discrete & Continuous Dynamical Systems - A;2012

4. On the Fourier analysis approach to the Hopf bifurcation theorem;Advances in Mathematical Economics;2011

5. Simplest normal forms of generalized Neimark-Sacker bifurcation;Transactions of Tianjin University;2009-08