SIMPLEST NORMAL FORMS OF HOPF AND GENERALIZED HOPF BIFURCATIONS

Pei Yu

Type: Article

Publication Date: 1999-10-01

Citations: 46

DOI: https://doi.org/10.1142/s0218127499001401

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Locations

International Journal of Bifurcation and Chaos - View

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+	Bifurcation of limit cycles in a cubic-order planar system around a nilpotent critical point	2017	Pei Yu Feng Li
+	Computation of the simplest normal forms with perturbation parameters based on Lie transform and rescaling	2002	Pei Yu
+	Spectral sequences and parametric normal forms	2011	Majid Gazor Pei Yu
+	AN EFFICIENT METHOD FOR COMPUTING THE SIMPLEST NORMAL FORMS OF VECTOR FIELDS	2003	Peter Yu Yu Quan Yuan
+	FORMAL DECOMPOSITION METHOD AND PARAMETRIC NORMAL FORMS	2010	Majid Gazor Pei Yu
+	INFINITE ORDER PARAMETRIC NORMAL FORM OF HOPF SINGULARITY	2008	Majid Gazor Pei Yu
+	COMPUTATION OF SIMPLEST NORMAL FORMS OF DIFFERENTIAL EQUATIONS ASSOCIATED WITH A DOUBLE-ZERO EIGENVALUE	2001	Yu Quan Yuan Peter Yu
+	Simplest Normal Forms of Hopf–Neimark–Sacker Bifurcations	2003	José C. Valverde
+	AN EXPLICIT RECURSIVE FORMULA FOR COMPUTING THE NORMAL FORM AND CENTER MANIFOLD OF GENERAL n-DIMENSIONAL DIFFERENTIAL SYSTEMS ASSOCIATED WITH HOPF BIFURCATION	2013	Yun Tian Pei Yu
+	None	2001	Guoting Chen

Works Cited by This (11)

Action	Title	Year	Authors
+	Versal deformations of a singular point of a vector field on the plane in the case of zero eigenvalues	1975	Р. И. Богданов
+	Degenerate Hopf Bifurcation Formulas and Hilbert’s 16th Problem	1989	W.W. Farr Chengzhi Li Isabel S. Labouriau William F. Langford
+	LECTURES ON BIFURCATIONS IN VERSAL FAMILIES	1972	Vladimir I. Arnold
+	Unique normal forms: The nilpotent Hamiltonian case	1991	Alberto Baider Jan A. Sanders
+	Comparison of the Modified Method of Averaging and the Two Variable Expansion Procedure	1966	J. A. Morrison
+	Computation of normal forms	1990	Shui-Nee Chow B. Drachman Duo Wang
+	Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations	1973	Floris Takens
+	Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields	1983	John Guckenheimer Philip Holmes
+	A simple global characterization for normal forms of singular vector fields	1987	Christian Elphick E. Tirapegui Marc Brächet P. Coullet Gérard Iooss
+	On the Nature of Turbulence	1995	David Ruelle Floris Takens