## Rousseau, Christiane

Compute Distance To:
 Author ID: rousseau.christiane Published as: Rousseau, Christiane; Rousseau, C.; Russo, K.; Rousseau, Christian; Rousseau, Christine more...less Homepage: http://dms.umontreal.ca/fr/repertoire-departement/professeurs/portrait/rousseac External Links: MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef
 Documents Indexed: 96 Publications since 1978, including 3 Books 2 Contributions as Editor · 3 Further Contributions Biographic References: 2 Publications Co-Authors: 46 Co-Authors with 72 Joint Publications 1,169 Co-Co-Authors
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### Co-Authors

 27 single-authored 7 Christopher, Colin J. 7 Dumortier, Freddy 7 Patera, Jiří 6 Roussarie, Robert 5 Mardešić, Pavao 5 Schlomiuk, Dana I. 4 Lambert, Caroline 3 Antaya, Hélène 3 Ascah-Coallier, Isabelle 3 Klimeš, Martin 3 Li, Chengzhi 3 Saint-Aubin, Yvan 3 Toni, Bourama 3 Zhu, Huaiping 2 Guimond, Louis-Sébastien 2 Guzmán, Ana 2 Hurtubise, Jacques C. 2 Ilyashenko, Yulij Sergeevich 2 Kaper, Hans G. 2 Krauskopf, Bernd 2 Lopez, Salvatore 2 Teyssier, Loïc 2 Żołądek, Henryk 1 Arriagada-Silva, Waldo 1 Blows, Terence R. 1 Bröcker, Jochen 1 Calderhead, Ben 1 Cheraghi, Davoud 1 Colli, Eduardo 1 Cotter, Colin John 1 Coutu, Caroline 1 Crisan, Dan O. 1 del Olmo, Mariano A. 1 El Morsalani, Mohamed 1 Etoua, Remy Magloire 1 Freiberger, Marianne 1 Gagnon, Jean-François 1 Hénot, Olivier 1 Holm, Darryl D. 1 Joyal, Pierre 1 Khibnik, Alexander I. 1 Koh, In-Guy 1 Koh, In-Gyu 1 Kuna, Tobias 1 La Sala, G. 1 Lamontagne, Yann 1 Laurin, Sophie 1 Moser-Jauslin, Lucy 1 Nemenzo, Fidel Ronquillo 1 Pelloni, Beatrice 1 Peterson, Ivar 1 Polthier, Konrad 1 Raachandran R. 1 Rodriquez, M. A. 1 Sabidussi, Gert 1 Shan, Chunhua 1 Shepherd, Ted 1 Świrszcz, Grzegorz M. 1 Thibaudeau, Pierre 1 Wang, Xian 1 Weller, Hilary 1 Ziegler, Günter Matthias
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### Serials

 20 Journal of Differential Equations 7 Nonlinearity 6 Journal of Mathematical Physics 6 Qualitative Theory of Dynamical Systems 6 Moscow Mathematical Journal 4 Journal of Dynamical and Control Systems 3 Annales des Sciences Mathématiques du Québec 3 Canadian Mathematical Bulletin 3 Notices of the American Mathematical Society 2 Canadian Journal of Mathematics 2 Journal of Pure and Applied Algebra 2 Ergodic Theory and Dynamical Systems 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 International Journal of Structural Stability and Dynamics 2 Springer Undergraduate Texts in Mathematics and Technology 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie. Nouvelle Série 1 Transactions of the Moscow Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Publicacions Matemàtiques 1 IMRN. International Mathematics Research Notices 1 Journal of Physics A: Mathematical and General 1 Journal of Dynamics and Differential Equations 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Conformal Geometry and Dynamics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 NATO Science Series II: Mathematics, Physics and Chemistry 1 Nonlinear Analysis. Theory, Methods & Applications 1 Other Titles in Applied Mathematics 1 Advanced Textbooks in Mathematics 1 Springer-Lehrbuch
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### Fields

 55 Ordinary differential equations (34-XX) 47 Dynamical systems and ergodic theory (37-XX) 13 Several complex variables and analytic spaces (32-XX) 11 General and overarching topics; collections (00-XX) 6 Nonassociative rings and algebras (17-XX) 6 Category theory; homological algebra (18-XX) 6 Geophysics (86-XX) 5 History and biography (01-XX) 5 Mathematical logic and foundations (03-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Topological groups, Lie groups (22-XX) 4 Functions of a complex variable (30-XX) 4 Biology and other natural sciences (92-XX) 4 Mathematics education (97-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Combinatorics (05-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

73 Publications have been cited 1,038 times in 650 Documents Cited by Year
Linearization of isochronous centers. Zbl 0830.34023
Mardešić, P.; Rousseau, C.; Toni, B.
1995
Hilbert’s 16th problem for quadratic vector fields. Zbl 0802.34028
Dumortier, F.; Roussarie, R.; Rousseau, C.
1994
Cubic Liénard equations with linear damping. Zbl 0716.58023
Dumortier, Freddy; Rousseau, Christiane
1990
Normalizable, integrable, and linearizable saddle points for complex quadratic systems in $$\mathbb{C}^2$$. Zbl 1022.37035
Christopher, C.; Mardešić, P.; Rousseau, C.
2003
Local bifurcations of critical periods in the reduced Kukles system. Zbl 0885.34033
Rousseau, C.; Toni, B.
1997
Bifurcation analysis of a predator-prey system with generalised Holling type III functional response. Zbl 1160.34047
Lamontagne, Yann; Coutu, Caroline; Rousseau, Christiane
2008
Bifurcation at infinity in polynomial vector fields. Zbl 0778.34024
Blows, T. R.; Rousseau, C.
1993
Darboux linearization and isochronous centers with a rational first integral. Zbl 0881.34041
Mardešić, P.; Moser-Jauslin, L.; Rousseau, C.
1997
Local bifurcation of critical periods in vector fields with homogeneous nonlinearities of the third degree. Zbl 0792.58030
Rousseau, C.; Toni, B.
1993
Elementary graphics of cyclicity 1 and 2. Zbl 0855.58043
Dumortier, F.; Roussarie, R.; Rousseau, C.
1994
Bifurcation analysis of a generalized Gause model with prey harvesting and a generalized Holling response function of type III. Zbl 1217.34080
Etoua, Remy Magloire; Rousseau, Christiane
2010
Saddle quantities and applications. Zbl 0684.34033
Joyal, Pierre; Rousseau, Christian
1989
A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation: The cusp of order 4. Zbl 0684.34048
Li, Chengzhi; Rousseau, Christine
1989
Finite cyclicity of graphics with a nilpotent singularity of saddle or elliptic type. Zbl 1012.34028
Zhu, Huaiping; Rousseau, Christiane
2002
Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system. Zbl 1100.34022
Christopher, Colin; Rousseau, Christiane
2004
Hilbert’s 16th problem for quadratic systems and cyclicity of elementary graphics. Zbl 0895.58046
Dumortier, F.; El Morsalani, M.; Rousseau, C.
1996
Global study of a family of cubic Liénard equations. Zbl 0920.58034
Khibnik, Alexander I.; Krauskopf, Bernd; Rousseau, Christiane
1998
Nondegenerate linearizable centres of complex planar quadratic and symmetric cubic systems in $$\mathbb C^2$$. Zbl 0984.34023
Christopher, C.; Rousseau, C.
2001
Zeroes of complete elliptic integrals for 1:2 resonance. Zbl 0738.33014
Rousseau, Christiane; Żołądek, Henryk
1991
The centres in the reduced Kukles system. Zbl 0830.34025
Rousseau, Christiane; Schlomiuk, Dana; Thibaudeau, Pierre
1995
Cubic vector fields symmetric with respect to a center. Zbl 0839.34035
Rousseau, C.; Schlomiuk, D.
1995
Modulus of analytic classification for unfoldings of generic parabolic diffeomorphisms. Zbl 1077.37035
Mardešić, P.; Roussarie, R.; Rousseau, C.
2004
Codimension-three unfoldings of reflectionally symmetric planar vector fields. Zbl 0904.34025
Krauskopf, Bernd; Rousseau, Christiane
1997
Codimension 2 symmetric homoclinic bifurcations and application to 1:2 resonance. Zbl 0714.58039
Li, Chengzhi; Rousseau, Christiane
1990
Modulus of analytic classification for the generic unfolding of a codimension 1 resonant diffeomorphism or resonant saddle. Zbl 1127.37039
Rousseau, Christiane; Christopher, Colin
2007
Complete system of analytic invariants for unfolded differential linear systems with an rank $$k$$ irregular singularity of Poincaré. Zbl 1302.34131
Hurtubise, Jacques; Lambert, Caroline; Rousseau, Christiane
2014
PP-graphics with a nilpotent elliptic singularity in quadratic systems and Hilbert’s 16th problem. Zbl 1046.34055
Rousseau, Christiane; Zhu, Huaiping
2004
Complete system of analytic invariants for unfolded differential linear systems with an irregular singularity of Poincaré rank 1. Zbl 1263.34127
Lambert, Caroline; Rousseau, Christiane
2012
Analytical moduli for unfoldings of saddle-node vector fields. Zbl 1165.37016
Rousseau, Christiane; Teyssier, Loïc
2008
Clebsch-Gordan coefficients for $$E_ 6$$ and SO(10) unification models. Zbl 0556.22011
Koh, In-Guy; Patera, J.; Rousseau, C.
1984
Complex orthogonal and symplectic matrices depending on parameters. Zbl 0495.17007
Patera, J.; Rousseau, C.
1982
Almost planar homoclinic loops in $$\mathbb{R}^ 3$$. Zbl 0849.34036
Roussarie, Robert; Rousseau, Christiane
1996
Generalized Hopf bifurcations and applications to planar quadratic systems. Zbl 0666.34035
Rousseau, C.; Schlomiuk, D.
1988
Genericity conditions for finite cyclicity of elementary graphics. Zbl 0930.34020
Guzmán, Ana; Rousseau, Christiane
1999
Normalizability, synchronicity, and relative exactness for vector fields in $$\mathbb C^2$$. Zbl 1068.37030
Christopher, C.; Mardešić, P.; Rousseau, C.
2004
Modulus of orbital analytic classification for a family unfolding a saddle-node. Zbl 1089.37018
Rousseau, Christiane
2005
Versal deformations of elements of classical Jordan algebras. Zbl 0523.17001
Patera, J.; Rousseau, C.
1983
The moduli space of germs of generic families of analytic diffeomorphisms unfolding of a codimension one resonant diffeomorphism or resonant saddle. Zbl 1204.37048
Rousseau, Christiane
2010
Example of a quadratic system with two cycles appearing in a homoclinic loop bifurcation. Zbl 0626.34021
Rousseau, Christiane
1987
Normal forms near a saddle-node and applications to finite cyclicity of graphics. Zbl 1013.37044
Dumortier, F.; Ilyashenko, Y.; Rousseau, C.
2002
Organizing center for the bifurcation analysis of a generalized Gause model with prey harvesting and Holling response function of type III. Zbl 1236.34059
Laurin, Sophie; Rousseau, Christiane
2011
Topos theory and complex analysis. Zbl 0433.32003
Rousseau, Christiane
1979
The Stokes phenomenon in the confluence of the hypergeometric equation using Riccati equation. Zbl 1147.34064
Lambert, Caroline; Rousseau, Christiane
2008
Improving stability in the time-stepping analysis of structural nonlinear dynamics. Zbl 1205.74182
Lopez, Salvatore; Russo, K.
2008
The bifurcation diagram of cubic polynomial vector fields on $$\mathbb{C}\mathbb{P}^1$$. Zbl 1372.37095
Rousseau, C.
2017
Study of the cyclicity of some degenerate graphics inside quadratic systems. Zbl 1170.34020
Dumortier, Freddy; Rousseau, Christiane
2009
Clebsch-Gordan coefficients for SU(5)$$\supset SU(3)\times SU(2)\times U(1)$$ theories. Zbl 0552.22008
Koh, In-Gyu; Patera, J.; Rousseau, C.
1983
Analytic moduli for unfoldings of germs of generic analytic diffeomorphisms with a codimension $$k$$ parabolic point. Zbl 1308.32018
Rousseau, C.
2015
Moduli space of unfolded differential linear systems with an irregular singularity of Poincaré rank 1. Zbl 1292.34085
Lambert, Caroline; Rousseau, Christiane
2013
A simple proof for the unicity of the limit cycle in the Bogdanov-Takens system. Zbl 0706.34026
Li, Chengzhi; Rousseau, Christiane; Wang, Xian
1990
Generic $$2$$-parameter perturbations of parabolic singular points of vector fields in $$\mathbb C$$. Zbl 1403.37057
Klimeš, Martin; Rousseau, Christiane
2018
Versal deformations of elements of real classical Lie algebras. Zbl 0507.17006
Patera, J.; Rousseau, C.; Schlomiuk, D.
1982
Clebsch-Gordan coefficients for SU(5) unification models. Zbl 0617.22020
del Olmo, Mariano A.; Patera, J.; Rodriquez, M. A.; Rousseau, C.
1987
Bifurcation methods in polynomial systems. Zbl 0791.58080
Rousseau, Christiane
1993
Cyclicity of graphics with semi-hyperbolic points inside quadratic systems. Zbl 0989.37047
Rousseau, C.; Świrszcz, G.; Żołądek, H.
1998
Normal forms for germs of analytic families of planar vector fields unfolding a generic saddle-node or resonant saddle. Zbl 1103.34024
Rousseau, Christiane
2006
Hilbert’s 16-th problem for quadratic vector fields and cyclicity of graphics. Zbl 0895.34025
Rousseau, Christiane
1997
Moduli space for generic unfolded differential linear systems. Zbl 1361.34099
Hurtubise, Jacques; Rousseau, Christiane
2017
Topos theory and complex analysis. Zbl 0378.02028
Rousseau, Christiane
1978
Dimensions of orbits and strata in complex and real classical Lie algebras. Zbl 0488.22037
Patera, J.; Rousseau, C.; Schlomiuk, D.
1982
The root extraction problem. Zbl 1118.37016
Rousseau, C.
2007
The modulus of analytic classification for the unfolding of the codimension-one flip and Hopf bifurcations. Zbl 1242.58021
Arriagada-Silva, Waldo; Rousseau, Christiane
2011
The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point. Zbl 1351.37192
Christopher, Colin; Rousseau, Christiane
2014
The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point. Zbl 1134.37021
Christopher, Colin; Rousseau, Christiane
2007
Spiderweb central configurations. Zbl 1454.70005
Hénot, Olivier; Rousseau, Christiane
2019
Finite cyclicity of some graphics through a nilpotent point of saddle type inside quadratic systems. Zbl 1345.34078
Rousseau, Christiane; Shan, Chunhua; Zhu, Huaiping
2016
An approach to statical and quasi-statical nonlinear analysis of structures in small strains and finite rotations hypotheses. Zbl 1359.74424
Lopez, S.; Russo, K.; La Sala, G.
2013
Finite cyclicity of some center graphics through a nilpotent point inside quadratic systems. Zbl 1334.34077
Roussarie, Robert; Rousseau, Christiane
2015
Nombres réels et complexes dans les topos spatiaux. Zbl 0411.18004
Rousseau, Christiane
1979
Mathematics and technology. With the collaboration of Hélène Antaya and Isabelle Ascah-Coallier. (Mathématiques et technologie.) Zbl 1172.00001
Rousseau, Christiane; Saint-Aubin, Yvan
2008
The modulus of unfoldings of cusps in conformal geometry. Zbl 1234.58009
Rousseau, C.
2012
Finite cyclicity of nilpotent graphics of pp-type surrounding a center. Zbl 1165.34019
Roussarie, R.; Rousseau, C.
2008
Finite cyclicity of elementary graphics surrounding a focus or center in quadratic systems. Zbl 1042.34062
Dumortier, F.; Guzmán, A.; Rousseau, C.
2002
Spiderweb central configurations. Zbl 1454.70005
Hénot, Olivier; Rousseau, Christiane
2019
Generic $$2$$-parameter perturbations of parabolic singular points of vector fields in $$\mathbb C$$. Zbl 1403.37057
Klimeš, Martin; Rousseau, Christiane
2018
The bifurcation diagram of cubic polynomial vector fields on $$\mathbb{C}\mathbb{P}^1$$. Zbl 1372.37095
Rousseau, C.
2017
Moduli space for generic unfolded differential linear systems. Zbl 1361.34099
Hurtubise, Jacques; Rousseau, Christiane
2017
Finite cyclicity of some graphics through a nilpotent point of saddle type inside quadratic systems. Zbl 1345.34078
Rousseau, Christiane; Shan, Chunhua; Zhu, Huaiping
2016
Analytic moduli for unfoldings of germs of generic analytic diffeomorphisms with a codimension $$k$$ parabolic point. Zbl 1308.32018
Rousseau, C.
2015
Finite cyclicity of some center graphics through a nilpotent point inside quadratic systems. Zbl 1334.34077
Roussarie, Robert; Rousseau, Christiane
2015
Complete system of analytic invariants for unfolded differential linear systems with an rank $$k$$ irregular singularity of Poincaré. Zbl 1302.34131
Hurtubise, Jacques; Lambert, Caroline; Rousseau, Christiane
2014
The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point. Zbl 1351.37192
Christopher, Colin; Rousseau, Christiane
2014
Moduli space of unfolded differential linear systems with an irregular singularity of Poincaré rank 1. Zbl 1292.34085
Lambert, Caroline; Rousseau, Christiane
2013
An approach to statical and quasi-statical nonlinear analysis of structures in small strains and finite rotations hypotheses. Zbl 1359.74424
Lopez, S.; Russo, K.; La Sala, G.
2013
Complete system of analytic invariants for unfolded differential linear systems with an irregular singularity of Poincaré rank 1. Zbl 1263.34127
Lambert, Caroline; Rousseau, Christiane
2012
The modulus of unfoldings of cusps in conformal geometry. Zbl 1234.58009
Rousseau, C.
2012
Organizing center for the bifurcation analysis of a generalized Gause model with prey harvesting and Holling response function of type III. Zbl 1236.34059
Laurin, Sophie; Rousseau, Christiane
2011
The modulus of analytic classification for the unfolding of the codimension-one flip and Hopf bifurcations. Zbl 1242.58021
Arriagada-Silva, Waldo; Rousseau, Christiane
2011
Bifurcation analysis of a generalized Gause model with prey harvesting and a generalized Holling response function of type III. Zbl 1217.34080
Etoua, Remy Magloire; Rousseau, Christiane
2010
The moduli space of germs of generic families of analytic diffeomorphisms unfolding of a codimension one resonant diffeomorphism or resonant saddle. Zbl 1204.37048
Rousseau, Christiane
2010
Study of the cyclicity of some degenerate graphics inside quadratic systems. Zbl 1170.34020
Dumortier, Freddy; Rousseau, Christiane
2009
Bifurcation analysis of a predator-prey system with generalised Holling type III functional response. Zbl 1160.34047
Lamontagne, Yann; Coutu, Caroline; Rousseau, Christiane
2008
Analytical moduli for unfoldings of saddle-node vector fields. Zbl 1165.37016
Rousseau, Christiane; Teyssier, Loïc
2008
The Stokes phenomenon in the confluence of the hypergeometric equation using Riccati equation. Zbl 1147.34064
Lambert, Caroline; Rousseau, Christiane
2008
Improving stability in the time-stepping analysis of structural nonlinear dynamics. Zbl 1205.74182
Lopez, Salvatore; Russo, K.
2008
Mathematics and technology. With the collaboration of Hélène Antaya and Isabelle Ascah-Coallier. (Mathématiques et technologie.) Zbl 1172.00001
Rousseau, Christiane; Saint-Aubin, Yvan
2008
Finite cyclicity of nilpotent graphics of pp-type surrounding a center. Zbl 1165.34019
Roussarie, R.; Rousseau, C.
2008
Modulus of analytic classification for the generic unfolding of a codimension 1 resonant diffeomorphism or resonant saddle. Zbl 1127.37039
Rousseau, Christiane; Christopher, Colin
2007
The root extraction problem. Zbl 1118.37016
Rousseau, C.
2007
The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point. Zbl 1134.37021
Christopher, Colin; Rousseau, Christiane
2007
Normal forms for germs of analytic families of planar vector fields unfolding a generic saddle-node or resonant saddle. Zbl 1103.34024
Rousseau, Christiane
2006
Modulus of orbital analytic classification for a family unfolding a saddle-node. Zbl 1089.37018
Rousseau, Christiane
2005
Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system. Zbl 1100.34022
Christopher, Colin; Rousseau, Christiane
2004
Modulus of analytic classification for unfoldings of generic parabolic diffeomorphisms. Zbl 1077.37035
Mardešić, P.; Roussarie, R.; Rousseau, C.
2004
PP-graphics with a nilpotent elliptic singularity in quadratic systems and Hilbert’s 16th problem. Zbl 1046.34055
Rousseau, Christiane; Zhu, Huaiping
2004
Normalizability, synchronicity, and relative exactness for vector fields in $$\mathbb C^2$$. Zbl 1068.37030
Christopher, C.; Mardešić, P.; Rousseau, C.
2004
Normalizable, integrable, and linearizable saddle points for complex quadratic systems in $$\mathbb{C}^2$$. Zbl 1022.37035
Christopher, C.; Mardešić, P.; Rousseau, C.
2003
Finite cyclicity of graphics with a nilpotent singularity of saddle or elliptic type. Zbl 1012.34028
Zhu, Huaiping; Rousseau, Christiane
2002
Normal forms near a saddle-node and applications to finite cyclicity of graphics. Zbl 1013.37044
Dumortier, F.; Ilyashenko, Y.; Rousseau, C.
2002
Finite cyclicity of elementary graphics surrounding a focus or center in quadratic systems. Zbl 1042.34062
Dumortier, F.; Guzmán, A.; Rousseau, C.
2002
Nondegenerate linearizable centres of complex planar quadratic and symmetric cubic systems in $$\mathbb C^2$$. Zbl 0984.34023
Christopher, C.; Rousseau, C.
2001
Genericity conditions for finite cyclicity of elementary graphics. Zbl 0930.34020
Guzmán, Ana; Rousseau, Christiane
1999
Global study of a family of cubic Liénard equations. Zbl 0920.58034
Khibnik, Alexander I.; Krauskopf, Bernd; Rousseau, Christiane
1998
Cyclicity of graphics with semi-hyperbolic points inside quadratic systems. Zbl 0989.37047
Rousseau, C.; Świrszcz, G.; Żołądek, H.
1998
Local bifurcations of critical periods in the reduced Kukles system. Zbl 0885.34033
Rousseau, C.; Toni, B.
1997
Darboux linearization and isochronous centers with a rational first integral. Zbl 0881.34041
Mardešić, P.; Moser-Jauslin, L.; Rousseau, C.
1997
Codimension-three unfoldings of reflectionally symmetric planar vector fields. Zbl 0904.34025
Krauskopf, Bernd; Rousseau, Christiane
1997
Hilbert’s 16-th problem for quadratic vector fields and cyclicity of graphics. Zbl 0895.34025
Rousseau, Christiane
1997
Hilbert’s 16th problem for quadratic systems and cyclicity of elementary graphics. Zbl 0895.58046
Dumortier, F.; El Morsalani, M.; Rousseau, C.
1996
Almost planar homoclinic loops in $$\mathbb{R}^ 3$$. Zbl 0849.34036
Roussarie, Robert; Rousseau, Christiane
1996
Linearization of isochronous centers. Zbl 0830.34023
Mardešić, P.; Rousseau, C.; Toni, B.
1995
The centres in the reduced Kukles system. Zbl 0830.34025
Rousseau, Christiane; Schlomiuk, Dana; Thibaudeau, Pierre
1995
Cubic vector fields symmetric with respect to a center. Zbl 0839.34035
Rousseau, C.; Schlomiuk, D.
1995
Hilbert’s 16th problem for quadratic vector fields. Zbl 0802.34028
Dumortier, F.; Roussarie, R.; Rousseau, C.
1994
Elementary graphics of cyclicity 1 and 2. Zbl 0855.58043
Dumortier, F.; Roussarie, R.; Rousseau, C.
1994
Bifurcation at infinity in polynomial vector fields. Zbl 0778.34024
Blows, T. R.; Rousseau, C.
1993
Local bifurcation of critical periods in vector fields with homogeneous nonlinearities of the third degree. Zbl 0792.58030
Rousseau, C.; Toni, B.
1993
Bifurcation methods in polynomial systems. Zbl 0791.58080
Rousseau, Christiane
1993
Zeroes of complete elliptic integrals for 1:2 resonance. Zbl 0738.33014
Rousseau, Christiane; Żołądek, Henryk
1991
Cubic Liénard equations with linear damping. Zbl 0716.58023
Dumortier, Freddy; Rousseau, Christiane
1990
Codimension 2 symmetric homoclinic bifurcations and application to 1:2 resonance. Zbl 0714.58039
Li, Chengzhi; Rousseau, Christiane
1990
A simple proof for the unicity of the limit cycle in the Bogdanov-Takens system. Zbl 0706.34026
Li, Chengzhi; Rousseau, Christiane; Wang, Xian
1990
Saddle quantities and applications. Zbl 0684.34033
Joyal, Pierre; Rousseau, Christian
1989
A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation: The cusp of order 4. Zbl 0684.34048
Li, Chengzhi; Rousseau, Christine
1989
Generalized Hopf bifurcations and applications to planar quadratic systems. Zbl 0666.34035
Rousseau, C.; Schlomiuk, D.
1988
Example of a quadratic system with two cycles appearing in a homoclinic loop bifurcation. Zbl 0626.34021
Rousseau, Christiane
1987
Clebsch-Gordan coefficients for SU(5) unification models. Zbl 0617.22020
del Olmo, Mariano A.; Patera, J.; Rodriquez, M. A.; Rousseau, C.
1987
Clebsch-Gordan coefficients for $$E_ 6$$ and SO(10) unification models. Zbl 0556.22011
Koh, In-Guy; Patera, J.; Rousseau, C.
1984
Versal deformations of elements of classical Jordan algebras. Zbl 0523.17001
Patera, J.; Rousseau, C.
1983
Clebsch-Gordan coefficients for SU(5)$$\supset SU(3)\times SU(2)\times U(1)$$ theories. Zbl 0552.22008
Koh, In-Gyu; Patera, J.; Rousseau, C.
1983
Complex orthogonal and symplectic matrices depending on parameters. Zbl 0495.17007
Patera, J.; Rousseau, C.
1982
Versal deformations of elements of real classical Lie algebras. Zbl 0507.17006
Patera, J.; Rousseau, C.; Schlomiuk, D.
1982
Dimensions of orbits and strata in complex and real classical Lie algebras. Zbl 0488.22037
Patera, J.; Rousseau, C.; Schlomiuk, D.
1982
Topos theory and complex analysis. Zbl 0433.32003
Rousseau, Christiane
1979
Nombres réels et complexes dans les topos spatiaux. Zbl 0411.18004
Rousseau, Christiane
1979
Topos theory and complex analysis. Zbl 0378.02028
Rousseau, Christiane
1978
all top 5

### Cited by 591 Authors

 43 Llibre, Jaume 37 Romanovskiĭ, Valeriĭ Georgievich 33 Rousseau, Christiane 32 Giné, Jaume 28 Han, Maoan 25 Liu, Yirong 23 Valls Anglés, Cláudia 22 Algaba, Antonio 20 Huang, Wentao 20 Villadelprat, Jordi 18 Chen, Hebai 18 Chen, Xingwu 16 Zhang, Weinian 14 Dumortier, Freddy 13 Huang, Jicai 13 Wu, Yusen 13 Zhao, Liqin 12 García, Cristóbal 12 Gasull, Armengol 12 Tang, Yilei 11 Oliveira, Regilene D. S. 10 Li, Chengzhi 10 Reyes, Manuel 10 Torregrosa, Joan 10 Wu, Yuhai 10 Zhu, Huaiping 9 Christopher, Colin J. 9 Gaiko, Valery A. 9 García, Isaac A. 9 Liu, Changjian 9 Rodríguez-Luis, Alejandro J. 8 Ferčec, Brigita 8 Mañosas, Francesc 8 Patera, Jiří 8 Wang, Zhaoxia 8 Yu, Pei 7 Chavarriga, Javier 7 Freire Macías, Emilio 7 Sabatini, Marco 7 Xiao, Dongmei 7 Zhang, Zhifen 6 Artés, Joan Carles 6 Gamero, Estanislao 6 Gavrilov, Lubomir 6 Grau, Maite 6 Klimeš, Martin 6 Ruan, Shigui 6 Wang, Qinlong 6 Zhang, Tonghua 6 Zhang, Xiang 6 Zhao, Yulin 5 Asheghi, Rasoul 5 Aziz, Waleed 5 Feng, Zhaosheng 5 Fernandes, Wilker 5 Huzak, Renato 5 Iliev, Iliya Dimov 5 Lu, Min 5 Merino, Manuel 5 Peng, Linping 5 Ponce, Enrique 5 Schlomiuk, Dana I. 5 Yang, Jihua 5 Zangeneh, Hamid R. Z. 5 Zhang, Qi 4 Bonckaert, Patrick 4 Caubergh, Magdalena 4 Chen, Haibo 4 Chung, Kwok-Wai 4 Colak, Ilker E. 4 De Maesschalck, Peter 4 Dukarić, Maša 4 Jarque, Xavier 4 Jiang, Jiao 4 Li, Weigu 4 Lloyd, Noel Glynne 4 Marín Pérez, David 4 Pearson, Jane Margaret 4 Qin, Bo-Wei 4 Sergeichuk, Vladimir Vasil’evich 4 Shafer, Douglas S. 4 Shan, Chunhua 4 Sun, Xianbo 4 Zhang, Cui 4 Zhang, Xinan 4 Żołądek, Henryk 3 Anderson, Gregory W. 3 Arriagada-Silva, Waldo 3 Blažek, Tomáš 3 Buică, Adriana 3 Cima, Anna 3 Corbera, Montserrat 3 Dmytryshyn, Andrii R. 3 Dong, Guangfeng 3 Du, Chaoxiong 3 Edneral, Victor F. 3 Futorny, Vyacheslav M. 3 Garijo, Antonio 3 Homburg, Ale Jan 3 Hu, Zhaoping ...and 491 more Authors
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### Cited in 121 Serials

 103 Journal of Differential Equations 66 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 39 Journal of Mathematical Analysis and Applications 31 Qualitative Theory of Dynamical Systems 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Applied Mathematics and Computation 20 Chaos, Solitons and Fractals 15 Bulletin des Sciences Mathématiques 15 Nonlinear Analysis. Real World Applications 13 Computers & Mathematics with Applications 13 Nonlinear Dynamics 12 Journal of Mathematical Physics 12 Physica D 12 Discrete and Continuous Dynamical Systems. Series B 10 Advances in Difference Equations 9 Journal of Dynamics and Differential Equations 9 Journal of Dynamical and Control Systems 8 Journal of Computational and Applied Mathematics 8 Discrete and Continuous Dynamical Systems 7 Acta Mathematica Sinica. English Series 7 Nonlinear Analysis. Theory, Methods & Applications 6 Proceedings of the American Mathematical Society 5 Acta Mathematicae Applicatae Sinica. English Series 5 Applied Mathematics Letters 5 Science in China. Series A 5 Linear Algebra and its Applications 5 Journal of Nonlinear Science 5 SIAM Journal on Applied Dynamical Systems 4 Advances in Mathematics 4 Journal of Symbolic Computation 4 Communications on Pure and Applied Analysis 4 Journal of Applied Analysis and Computation 3 Nonlinearity 3 Annales de l’Institut Fourier 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Transactions of the American Mathematical Society 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Mathematical Sciences (New York) 3 Journal of Difference Equations and Applications 3 Abstract and Applied Analysis 3 Discrete Dynamics in Nature and Society 3 Journal of Nonlinear Mathematical Physics 3 Dynamical Systems 3 International Journal of Biomathematics 2 Bulletin of the Australian Mathematical Society 2 Rocky Mountain Journal of Mathematics 2 Programming and Computer Software 2 Results in Mathematics 2 Ergodic Theory and Dynamical Systems 2 Applied Mathematics and Mechanics. (English Edition) 2 Mathematical and Computer Modelling 2 Bulletin of the American Mathematical Society. New Series 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Differential Equations and Dynamical Systems 2 Regular and Chaotic Dynamics 2 Journal of Biological Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Applied Mathematics and Computing 2 Mediterranean Journal of Mathematics 2 Mathematical Modelling of Natural Phenomena 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Structural Stability and Dynamics 1 International Journal of Modern Physics A 1 Communications in Mathematical Physics 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. A 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 The Journal of Symbolic Logic 1 Mathematics and Computers in Simulation 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Siberian Mathematical Journal 1 Transactions of the Moscow Mathematical Society 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Dynamics and Stability of Systems 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Expositiones Mathematicae 1 Acta Mathematica Sinica. New Series 1 Acta Mechanica Sinica. (English Edition) 1 Chinese Science Bulletin 1 Applied Mathematics. Series B (English Edition) 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Doklady Mathematics ...and 21 more Serials
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### Cited in 43 Fields

 554 Ordinary differential equations (34-XX) 232 Dynamical systems and ergodic theory (37-XX) 88 Biology and other natural sciences (92-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Mechanics of particles and systems (70-XX) 10 Partial differential equations (35-XX) 10 Numerical analysis (65-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Computer science (68-XX) 8 Topological groups, Lie groups (22-XX) 7 Nonassociative rings and algebras (17-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Operator theory (47-XX) 6 Quantum theory (81-XX) 5 Mathematical logic and foundations (03-XX) 5 Mechanics of deformable solids (74-XX) 4 Algebraic geometry (14-XX) 4 Category theory; homological algebra (18-XX) 4 Functions of a complex variable (30-XX) 4 Systems theory; control (93-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX)

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