-
1
-
-
0041073771
-
-
Preprint
-
Algaba A., Gamero, E., Freire, E., and Rodríguez-Luis, A. J., On a codimension-three unfolding of the interaction of degenerate Hopf and pitchfork bifurcations', Preprint, 1998.
-
(1998)
On a Codimension-three Unfolding of the Interaction of Degenerate Hopf and Pitchfork Bifurcations
-
-
Algaba, A.1
Gamero, E.2
Freire, E.3
Rodríguez-Luis, A.J.4
-
2
-
-
0041073773
-
-
Preprint
-
Algaba A., Gamero, E., Freire, E., and Rodríguez-Luis, A. J., 'A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation', Preprint, 1998.
-
(1998)
A Three-parameter Study of a Degenerate Case of the Hopf-pitchfork Bifurcation
-
-
Algaba, A.1
Gamero, E.2
Freire, E.3
Rodríguez-Luis, A.J.4
-
3
-
-
21844486228
-
Numerical detection and continuation of codimension-two homoclinic bifurcations
-
Champneys, A. R. and Kuznetsov, Y. A., 'Numerical detection and continuation of codimension-two homoclinic bifurcations', International Journal of Bifurcation and Chaos 4(4), 1994, 785-822.
-
(1994)
International Journal of Bifurcation and Chaos
, vol.4
, Issue.4
, pp. 785-822
-
-
Champneys, A.R.1
Kuznetsov, Y.A.2
-
4
-
-
0003487030
-
-
Applied Mathematics Report, California Institute of Technology, Pasadena
-
Doedel, E., Wang, X., and Fairgrieve, T., Auto94: Software for Continuation and Bifurcation Problems in ODE. User's Manual, Applied Mathematics Report, California Institute of Technology, Pasadena, 1995.
-
(1995)
Auto94: Software for Continuation and Bifurcation Problems in ODE. User's Manual
-
-
Doedel, E.1
Wang, X.2
Fairgrieve, T.3
-
5
-
-
0020716777
-
Periodicity and chaos in an autonomous electronic system
-
Freire, E., Franquelo, L. G., and Aracil, J., 'Periodicity and chaos in an autonomous electronic system', IEEE Transactions on Circuits and Systems 31, 1984, 237-247.
-
(1984)
IEEE Transactions on Circuits and Systems
, vol.31
, pp. 237-247
-
-
Freire, E.1
Franquelo, L.G.2
Aracil, J.3
-
6
-
-
0002619182
-
An algorithm for symbolic computation of Hopf bifurcation
-
E. Kaltofen and S. M. Watt (eds.), Springer-Verlag, New York
-
Freire, E., Gamero, E., and Ponce, E., 'An algorithm for symbolic computation of Hopf bifurcation', in Computers and Mathematics, E. Kaltofen and S. M. Watt (eds.), Springer-Verlag, New York, 1989, pp. 109-118.
-
(1989)
Computers and Mathematics
, pp. 109-118
-
-
Freire, E.1
Gamero, E.2
Ponce, E.3
-
7
-
-
0346109990
-
An algorithm for symbolic computation of center manifolds
-
Symbolic And Algebraic Computation, P. Gianni (ed.), Springer-Verlag, Berlin
-
Freire, E., Gamero, E., Ponce, E., and Franquelo, L. G., 'An algorithm for symbolic computation of center manifolds', in Symbolic And Algebraic Computation, P. Gianni (ed.), Lecture Notes in Computer Science, Vol. 358, Springer-Verlag, Berlin, 1989, pp. 218-230.
-
(1989)
Lecture Notes in Computer Science
, vol.358
, pp. 218-230
-
-
Freire, E.1
Gamero, E.2
Ponce, E.3
Franquelo, L.G.4
-
8
-
-
2742611797
-
A case study for homoclinic chaos in an autonomous electronic circuit. A trip from Takens-Bogdanov to Hopf-Shil'nikov
-
Freire, E., Rodríguez-Luis, A. J., Gamero, E., and Ponce, E., 'A case study for homoclinic chaos in an autonomous electronic circuit. A trip from Takens-Bogdanov to Hopf-Shil'nikov', Physica D 62, 1993, 230-253.
-
(1993)
Physica D
, vol.62
, pp. 230-253
-
-
Freire, E.1
Rodríguez-Luis, A.J.2
Gamero, E.3
Ponce, E.4
-
9
-
-
0000558935
-
Normal forms for planar systems with nilpotent linear part
-
R. Seydel, F. W. Schneider, T. Küpper, and H. Troger (eds.), International Series of Numerical Mathematics, Birkhäuser, Basel
-
Gamero, E., Freire, E., and Ponce, E., 'Normal forms for planar systems with nilpotent linear part', in Bifurcation and Chaos: Analysis, Algorithms, Applications, R. Seydel, F. W. Schneider, T. Küpper, and H. Troger (eds.), International Series of Numerical Mathematics, Vol. 97, Birkhäuser, Basel, 1991, pp. 123-127.
-
(1991)
Bifurcation and Chaos: Analysis, Algorithms, Applications
, vol.97
, pp. 123-127
-
-
Gamero, E.1
Freire, E.2
Ponce, E.3
-
10
-
-
2342643854
-
Hypernormal form calculation for triple zero degeneracies
-
to appear
-
Gamero, E., Freire, E., Rodríguez-Luis, A. J., Ponce, E., and Algaba A., 'Hypernormal form calculation for triple zero degeneracies', Bulletin of the Belgian Mathematical Society - Simon Stevin, 1998, to appear.
-
(1998)
Bulletin of the Belgian Mathematical Society - Simon Stevin
-
-
Gamero, E.1
Freire, E.2
Rodríguez-Luis, A.J.3
Ponce, E.4
Algaba, A.5
-
11
-
-
0001349704
-
Bistable chaos II: Bifurcation analysis
-
Gomes, M. G. M. and King, G. P., 'Bistable chaos II: Bifurcation analysis', Physical Review A 46, 1992, 3100-3110.
-
(1992)
Physical Review A
, vol.46
, pp. 3100-3110
-
-
Gomes, M.G.M.1
King, G.P.2
-
12
-
-
0003478288
-
-
Springer-Verlag, Berlin
-
Guckenheimer, J. and Holmes, P. J., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag, Berlin, 1983.
-
(1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
-
-
Guckenheimer, J.1
Holmes, P.J.2
-
13
-
-
44949279457
-
The origins of chaos in a modified van der Pol oscillator
-
Healey, J. J., Broomhead, D. S., Cliffe, K. A., Jones, R., and Mullin, T., 'The origins of chaos in a modified van der Pol oscillator', Physica D 48, 1991, 322-339.
-
(1991)
Physica D
, vol.48
, pp. 322-339
-
-
Healey, J.J.1
Broomhead, D.S.2
Cliffe, K.A.3
Jones, R.4
Mullin, T.5
-
14
-
-
0000036850
-
Shilnikov-Hopf bifurcation
-
Hirschberg, P. and Knobloch, E., 'Shilnikov-Hopf bifurcation', Physica D 62, 1993, 202-216.
-
(1993)
Physica D
, vol.62
, pp. 202-216
-
-
Hirschberg, P.1
Knobloch, E.2
-
15
-
-
0347878127
-
Chua's equation with cubic nonlinearity
-
Huang, A., Pivka, L., and Wu, C. W., 'Chua's equation with cubic nonlinearity', International Journal of Bifurcation and Chaos 6(12A), 1996, 2175-2222.
-
(1996)
International Journal of Bifurcation and Chaos
, vol.6
, Issue.12 A
, pp. 2175-2222
-
-
Huang, A.1
Pivka, L.2
Wu, C.W.3
-
16
-
-
2342467791
-
-
Sevilla, Spain, June 27-28
-
Huertas, J. L. and Rodríguez-Vázquez, A., eds., Proceedings of 4th International Workshop on Nonlinear Dynamics of Electronic Systems NDES'96, Sevilla, Spain, June 27-28, 1996.
-
(1996)
Proceedings of 4th International Workshop on Nonlinear Dynamics of Electronic Systems NDES'96
-
-
Huertas, J.L.1
Rodríguez-Vázquez, A.2
-
19
-
-
24244462916
-
Homoclinic-Hopf interactions in an electronic oscillator
-
Sevilla, Spain, June 27-28
-
Rodríguez-Luis, A. J., Fernández-Sánchez, F., Freire, E., and Gamero, E., 'Homoclinic-Hopf interactions in an electronic oscillator', in Proceedings of 4th Workshop on Nonlinear Dynamics of Electronic Systems NDES'96, Sevilla, Spain, June 27-28, 1996, pp. 429-434.
-
(1996)
Proceedings of 4th Workshop on Nonlinear Dynamics of Electronic Systems NDES'96
, pp. 429-434
-
-
Rodríguez-Luis, A.J.1
Fernández-Sánchez, F.2
Freire, E.3
Gamero, E.4
-
20
-
-
0001588095
-
A method for homoclinic and heteroclinic continuation in two and three dimensions
-
D. Roose, A. Spence, and B. De Dier (eds.), NATO ASI Series C, Kluwer, Dordrecht
-
Rodríguez-Luis, A. J., Freire, E., and Ponce, E., 'A method for homoclinic and heteroclinic continuation in two and three dimensions', in Continuation and Bifurcations: Numerical Techniques and Applications, D. Roose, A. Spence, and B. De Dier (eds.), NATO ASI Series C, Vol. 313, Kluwer, Dordrecht, 1990, pp. 197-210.
-
(1990)
Continuation and Bifurcations: Numerical Techniques and Applications
, vol.313
, pp. 197-210
-
-
Rodríguez-Luis, A.J.1
Freire, E.2
Ponce, E.3
-
21
-
-
0009393913
-
On a codimension 3 bifurcation arising in an autonomous electronic circuit
-
R. Seydel, F. W. Schneider, T. Küpper, and H. Troger (eds.), International Series of Numerical Mathematics, Birkhäuser, Basel
-
Rodríguez-Luis, A. J., Freire, E., and Ponce, E., 'On a codimension 3 bifurcation arising in an autonomous electronic circuit', in Bifurcation and Chaos: Analysis, Algorithms, Applications, R. Seydel, F. W. Schneider, T. Küpper, and H. Troger (eds.), International Series of Numerical Mathematics, Vol. 97, Birkhäuser, Basel, 1991, pp. 301-306.
-
(1991)
Bifurcation and Chaos: Analysis, Algorithms, Applications
, vol.97
, pp. 301-306
-
-
Rodríguez-Luis, A.J.1
Freire, E.2
Ponce, E.3
-
22
-
-
0002819463
-
6y)(∂/∂y)
-
Bifurcations of Planar Vector Fields, J. P. Françoise and R. Roussarie (eds.), Springer-Verlag, Berlin
-
6y)(∂/∂y)', in Bifurcations of Planar Vector Fields, J. P. Françoise and R. Roussarie (eds.), Lecture Notes in Mathematics, Vol. 1455, Springer-Verlag, Berlin, 1990, pp. 334-355.
-
(1990)
Lecture Notes in Mathematics
, vol.1455
, pp. 334-355
-
-
Rousseau, C.1
-
23
-
-
38249022236
-
A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation: The cusp of order 4
-
Rousseau, C. and Li, C., 'A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation: The cusp of order 4', Journal of Differential Equations 79, 1989, 132-167.
-
(1989)
Journal of Differential Equations
, vol.79
, pp. 132-167
-
-
Rousseau, C.1
Li, C.2
-
24
-
-
0019545767
-
Multimode oscillations in a modified van der Pol oscillator containing a positive nonlinear conductance
-
Shinriki, R., Yamamoto, M., and Mori, S., 'Multimode oscillations in a modified van der Pol oscillator containing a positive nonlinear conductance', IEEE Proceedings 69, 1981, 394-395.
-
(1981)
IEEE Proceedings
, vol.69
, pp. 394-395
-
-
Shinriki, R.1
Yamamoto, M.2
Mori, S.3
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