-
1
-
-
0040633552
-
Hypernormal form for the Hopf-zero bifurcation
-
Algaba, A., Freire, E. & Gamero, E. [1998] "Hypernormal form for the Hopf-zero bifurcation," Int. J. Bifurcation and Chaos 8, 1857-1887.
-
(1998)
Int. J. Bifurcation and Chaos
, vol.8
, pp. 1857-1887
-
-
Algaba, A.1
Freire, E.2
Gamero, E.3
-
2
-
-
0011884286
-
Characterizing and computing normal forms using Lie transforms: A survey
-
to appear
-
Algaba, A., Freire, E. & Gamero, E. [2001] "Characterizing and computing normal forms using Lie transforms: A survey," Dynamics of Continous, Discrete and Impulsive Systems (DCDIS), to appear.
-
(2001)
Dynamics of Continous, Discrete and Impulsive Systems (DCDIS)
-
-
Algaba, A.1
Freire, E.2
Gamero, E.3
-
3
-
-
0000878167
-
Further reduction of the Takens-Bogdanov normal forms
-
Baider, A. & Sanders, J. A. [1992] "Further reduction of the Takens-Bogdanov normal forms," J. Diff. Eqn. 99, 205-244.
-
(1992)
J. Diff. Eqn.
, vol.99
, pp. 205-244
-
-
Baider, A.1
Sanders, J.A.2
-
4
-
-
0032435442
-
Computation of normal forms of differential equations associated with non-semisimple zero eigenvalues
-
Bi, Q. & Yu, P. [1998] "Computation of normal forms of differential equations associated with non-semisimple zero eigenvalues," Int. J. Bifurcation and Chaos 8, 2279-2319.
-
(1998)
Int. J. Bifurcation and Chaos
, vol.8
, pp. 2279-2319
-
-
Bi, Q.1
Yu, P.2
-
5
-
-
0003002106
-
The hamiltonian double-zero eigenvalues
-
Broer, H. W., Chow, S.-N., Kim, Y. I. & Vegter, G. [1995] "The hamiltonian double-zero eigenvalues," Fields Inst. Commun. 4, 1-29.
-
(1995)
Fields Inst. Commun.
, vol.4
, pp. 1-29
-
-
Broer, H.W.1
Chow, S.-N.2
Kim, Y.I.3
Vegter, G.4
-
7
-
-
0024037022
-
Normal forms for nonlinear vector fields - Part I: Theory and algorithm
-
Chua, L. O. & Kokubu, H. [1988a] "Normal forms for nonlinear vector fields - Part I: Theory and algorithm," IEEE Trans. Circuits Syst. 35, 863-880.
-
(1988)
IEEE Trans. Circuits Syst.
, vol.35
, pp. 863-880
-
-
Chua, L.O.1
Kokubu, H.2
-
8
-
-
0024480164
-
Normal forms for nonlinear vector fields - Part II: Applications
-
Chua, L. O. & Kokubu, H. [1988b] "Normal forms for nonlinear vector fields - Part II: Applications," IEEE Trans. Circuits Syst. 36, 51-70.
-
(1988)
IEEE Trans. Circuits Syst.
, vol.36
, pp. 51-70
-
-
Chua, L.O.1
Kokubu, H.2
-
9
-
-
0002776472
-
Nilpotent normal forms and representation theory of sl(2,R)
-
Cushman, R. & Sanders, J. A. [1986] "Nilpotent normal forms and representation theory of sl(2,R)," Contemporary Mathematics 56, 31-51.
-
(1986)
Contemporary Mathematics
, vol.56
, pp. 31-51
-
-
Cushman, R.1
Sanders, J.A.2
-
10
-
-
0000155013
-
Normal form for (2;n-nilpotent vector field, using invariant theory
-
Cushman, R. & Sanders, J. A. [1988] "Normal form for (2;n-nilpotent vector field, using invariant theory," Physica D30, 399-412.
-
(1988)
Physica
, vol.D30
, pp. 399-412
-
-
Cushman, R.1
Sanders, J.A.2
-
11
-
-
0002232810
-
A simple global characterization for normal forms of singular vector fields
-
Elphick, C., Tirapegui, E., Brachet, M. E., Coullet, P. & Iooss, G. [1987] "A simple global characterization for normal forms of singular vector fields," Physica A29, 95-127.
-
(1987)
Physica
, vol.A29
, pp. 95-127
-
-
Elphick, C.1
Tirapegui, E.2
Brachet, M.E.3
Coullet, P.4
Iooss, G.5
-
12
-
-
0003478288
-
-
Springer-Verlag, NY
-
Guckenheimer, J. & Holmes, P. [1983] Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, NY).
-
(1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
-
-
Guckenheimer, J.1
Holmes, P.2
-
13
-
-
0000107874
-
Linear grading function and further reduction of normal forms
-
Kokubu, H, Oka, H. & Wang, D. [1996] "Linear grading function and further reduction of normal forms," J. Diff. Eqn. 132, 293-318.
-
(1996)
J. Diff. Eqn.
, vol.132
, pp. 293-318
-
-
Kokubu, H.1
Oka, H.2
Wang, D.3
-
15
-
-
0034629652
-
Unique normal forms of Bogdanov-Takens singularity
-
Wang, D., Li, J., Huang, M. & Jiang, Y. [2000] "Unique normal forms of Bogdanov-Takens singularity," J. Diff. Eqn. 163, 223-238.
-
(2000)
J. Diff. Eqn.
, vol.163
, pp. 223-238
-
-
Wang, D.1
Li, J.2
Huang, M.3
Jiang, Y.4
-
16
-
-
84972948989
-
Static and dynamic bifurcations associated with a double zero eigenvalue
-
Yu, P. & Huseyin, K. [1986] "Static and dynamic bifurcations associated with a double zero eigenvalue," Dyn. Stab. Syst. 1, 73-86.
-
(1986)
Dyn. Stab. Syst.
, vol.1
, pp. 73-86
-
-
Yu, P.1
Huseyin, K.2
-
17
-
-
0040036617
-
Simplest normal forms of Hopf and generalized Hopf bifurcations
-
Yu, P. [1999] "Simplest normal forms of Hopf and generalized Hopf bifurcations," Int. J. Bifurcation and Chaos 9, 1917-1939.
-
(1999)
Int. J. Bifurcation and Chaos
, vol.9
, pp. 1917-1939
-
-
Yu, P.1
-
18
-
-
0007421693
-
Simplest normal form of a codimension-two system
-
Hamilton, Canada, May 30-June 3, 1999
-
Yu, P. & Yuan, Y. [1999] "Simplest normal form of a codimension-two system," Proc. 17th CANCAM, Hamilton, Canada, May 30-June 3, 1999, pp. 367-378.
-
(1999)
Proc. 17th CANCAM
, pp. 367-378
-
-
Yu, P.1
Yuan, Y.2
|