Normal forms near critical points for differential equations and maps.

IEEE transactions on circuits and systems

Volumn 35, Issue 7, 1988, Pages 850-862

  Ashkenazi, Max ^a   Chow, Shui Nee ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TRANSFORMATIONS;

DIFFEOMORPHISMS; HOMOGENEOUS POLYNOMIALS SPACE; LINEAR OPERATOR; NORMAL FORM THEORY; VECTOR FIELDS;

MATHEMATICAL TECHNIQUES;

EID: 0024037059     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/31.1832     Document Type: Article

References (10)

1. V. I. Arnold A Series of Comprehensive Studies in Mathematics 250 1983 Springer Verlag Geometrical methods in the Theory of Differential equations
2. S.-N. Chow J. K. Hale Methods of Bifurcation Theory 1982 Springer Verlag New York
3. R. Cushman A. Deprit R. Mosak Normal forms and representation theory J. Math. Phys. 24 2103 2116 1983
4. R. Cushman J. Sanders Comtemporary Math. 56 31 51 1986 Nilpotent normal forms and representation theory
5. C. Elphick E. Tirapegui M. Brachet P. Coullet G. Ioos A simple global characterization for normal forms of singular vector fields Physica D.
6. J. Guckenheimer P. Holmes Appl. Math. Sci. 42 1983 Springer-Verlag New York Nonlinear oscillatious, dynamical systems and bifurcation of vector fields
7. J. Henrard On a perturbation theory using Lie transforms Celestial Mech. 3 1970
8. K. Meyer Normal forms for the general equilibrium Funk. Ekva. 27 261 271 1984
9. K. R. Meyer D. S. Schmidt Eutrainment Domains Funk. Ekva. 20 171 192 1977
10. F. Takens Singularities of vector fields IHES Pub. 43 47 100 1974