-
2
-
-
0024037059
-
Normal forms near critical points for differential equations and maps
-
Ashkenazi M., Chow S. N. Normal forms near critical points for differential equations and maps. IEEE Trans. Circuits Syst. 35:1988;850-862.
-
(1988)
IEEE Trans. Circuits Syst.
, vol.35
, pp. 850-862
-
-
Ashkenazi, M.1
Chow, S.N.2
-
3
-
-
0002428495
-
Unique normal forms for vector fields and Hamiltonians
-
Baider A. Unique normal forms for vector fields and Hamiltonians. J. Differ. Equ. 35:1989;33-52.
-
(1989)
J. Differ. Equ.
, vol.35
, pp. 33-52
-
-
Baider, A.1
-
4
-
-
0003156898
-
Unique normal forms for planar vector fields
-
Baider A., Churchill R. Unique normal forms for planar vector fields. Math. Z. 199:1988;303-310.
-
(1988)
Math. Z.
, vol.199
, pp. 303-310
-
-
Baider, A.1
Churchill, R.2
-
5
-
-
0000878167
-
Further reductions of the Takens-Bogdanov normal form
-
Baider A., Sanders J. A. Further reductions of the Takens-Bogdanov normal form. J. Differ. Equ. 99:1992;205-244.
-
(1992)
J. Differ. Equ.
, vol.99
, pp. 205-244
-
-
Baider, A.1
Sanders, J.A.2
-
7
-
-
51249194831
-
Application de la théorie des équations intégrales linéaires aux systèmes d'équations différentielles nonlinéaires
-
Carleman T. Application de la théorie des équations intégrales linéaires aux systèmes d'équations différentielles nonlinéaires. Acta Math. 59:1932;63-68.
-
(1932)
Acta Math.
, vol.59
, pp. 63-68
-
-
Carleman, T.1
-
8
-
-
0043279858
-
-
ACM Press-Addison Wesley 249
-
G. Chen, Proceeding of ISSAC-89, Portland, Oregon, 1989, ACM Press-Addison Wesley, 244, 249.
-
(1989)
Proceeding of ISSAC-89, Portland, Oregon
, pp. 244
-
-
Chen, G.1
-
11
-
-
85139946255
-
-
ACM Press-Addison Wesley 172
-
G. Chen, J. Della Dora, Proceeding of ISSAC-99, Vancouver, 1999a, ACM Press-Addison Wesley, 165, 172.
-
(1999)
Proceeding of ISSAC-99, Vancouver
, pp. 165
-
-
Chen, G.1
Della Dora, J.2
-
12
-
-
0042722405
-
Further reduction of normal forms for dynamical systems
-
Chen G., Della Dora J. Further reduction of normal forms for dynamical systems. J. Differ. Equ. (to appear). 1999b;1-25.
-
(1999)
J. Differ. Equ. (To Appear)
, pp. 1-25
-
-
Chen, G.1
Della Dora, J.2
-
13
-
-
85054658784
-
-
ACM Press-Addison Wesley 288
-
G. Chen, J. Della Dora, L. Stolovitch, Proceedings of ISSAC-91, Bonn, 1991, ACM Press-Addison Wesley, 281, 288.
-
(1991)
Proceedings of ISSAC-91, Bonn
, pp. 281
-
-
Chen, G.1
Della Dora, J.2
Stolovitch, L.3
-
16
-
-
0024480164
-
Normal forms for nonlinear vector fields, Part II: Applications
-
Chua L. O., Kokubu H. Normal forms for nonlinear vector fields, Part II: applications. IEEE Trans. Circuits Syst. 36:1989;51-70.
-
(1989)
IEEE Trans. Circuits Syst.
, vol.36
, pp. 51-70
-
-
Chua, L.O.1
Kokubu, H.2
-
18
-
-
0041776602
-
-
35
-
, Am. Math. Soc. 56, 31, 35.
-
Am. Math. Soc.
, vol.56
, pp. 31
-
-
-
19
-
-
0042324946
-
-
Springer, New York 106
-
R. Cushman, J. Sanders, Proceedings of Invariant Theory, 1990, Springer, New York, 82, 106.
-
(1990)
Proceedings of Invariant Theory
, pp. 82
-
-
Cushman, R.1
Sanders, J.2
-
20
-
-
0002232810
-
A simple characterization for normal forms of singular vector fields
-
Elphick C., Tirapegui E., Brachet M., Coulet P., Iooss G. A simple characterization for normal forms of singular vector fields. Physica D. 29:1987;95-127.
-
(1987)
Physica D
, vol.29
, pp. 95-127
-
-
Elphick, C.1
Tirapegui, E.2
Brachet, M.3
Coulet, P.4
Iooss, G.5
-
22
-
-
0042778601
-
-
I. Gil, 1993.
-
(1993)
-
-
Gil, I.1
-
24
-
-
0000107874
-
Linear grading functions and further reduction of normal forms
-
Kokubu H., Oka H., Wang D. Linear grading functions and further reduction of normal forms. J. Differ. Equ. 132:1993;293-318.
-
(1993)
J. Differ. Equ.
, vol.132
, pp. 293-318
-
-
Kokubu, H.1
Oka, H.2
Wang, D.3
-
25
-
-
0000446377
-
Perturbation analysis of nonlinear systems
-
E. Tournier. Cambridge: Cambridge University Press
-
Meyer K. R. Perturbation analysis of nonlinear systems. Tournier E. Computer Algebra and Differential Equations. 1992;103-139 Cambridge University Press, Cambridge.
-
(1992)
Computer Algebra and Differential Equations
, pp. 103-139
-
-
Meyer, K.R.1
-
27
-
-
0011965843
-
Notes sur les propriétés des fonctions définies par des équations différentielles
-
Poincaré H. Notes sur les propriétés des fonctions définies par des équations différentielles. J. Ecole Polytechnique. 45:1878;13-26.
-
(1878)
J. Ecole Polytechnique
, vol.45
, pp. 13-26
-
-
Poincaré, H.1
-
28
-
-
0002097632
-
Versal normal form computation and representation theory
-
E. Tournier. Cambridge University Press
-
Sanders J. A. Versal normal form computation and representation theory. Tournier E. Computer Algebra and Differential Equations. 1992;185-210 Cambridge University Press.
-
(1992)
Computer Algebra and Differential Equations
, pp. 185-210
-
-
Sanders, J.A.1
-
29
-
-
0004208250
-
Nonlinear autonomous system of differential equations and Carleman linearization procedure
-
Steeb W. H., Wilhelm F. Nonlinear autonomous system of differential equations and Carleman linearization procedure. J. Math. Anal. Appl. 77:1980;601-611.
-
(1980)
J. Math. Anal. Appl.
, vol.77
, pp. 601-611
-
-
Steeb, W.H.1
Wilhelm, F.2
-
31
-
-
0000144083
-
Normal forms for certain singularities of vector fields
-
Takens F. Normal forms for certain singularities of vector fields. Ann. Inst. Fourier. 23:1973;163-195.
-
(1973)
Ann. Inst. Fourier
, vol.23
, pp. 163-195
-
-
Takens, F.1
-
32
-
-
51649178043
-
Singularities of vector fields
-
Takens F. Singularities of vector fields. Publ. Math. I.H.E.S. 43:1974;47-100.
-
(1974)
Publ. Math. I.H.E.S.
, vol.43
, pp. 47-100
-
-
Takens, F.1
-
33
-
-
38249022136
-
Normal forms, resonance and bifurcation analysis via the Carleman linearization
-
Tsiligiannis C. A., Lyberatos G. Normal forms, resonance and bifurcation analysis via the Carleman linearization. J. Math. Anal. Appl. 139:1989;123-138.
-
(1989)
J. Math. Anal. Appl.
, vol.139
, pp. 123-138
-
-
Tsiligiannis, C.A.1
Lyberatos, G.2
-
34
-
-
0002948647
-
Normal forms for singularities of vector fields
-
Ushiki S. Normal forms for singularities of vector fields. Japan J. Appl. Math. 1:1984;1-34.
-
(1984)
Japan J. Appl. Math.
, vol.1
, pp. 1-34
-
-
Ushiki, S.1
-
35
-
-
0002032632
-
A recursive formula and its application to computations of normal forms and focal values
-
S.-T. et al. Liao. Singapore: World Scientific
-
Wang D. A recursive formula and its application to computations of normal forms and focal values. Liao S.-T. et al. Dynamical Systems. 1993;238-247 World Scientific, Singapore.
-
(1993)
Dynamical Systems
, pp. 238-247
-
-
Wang, D.1
|