Edit Profile (opens in new tab) Roussarie, Robert Compute Distance To: Compute Author ID: roussarie.robert Published as: Roussarie, Robert; Roussarie, R.; Roussairie, Robert; Roussarrie, Robert; Roussarie, R. H. more...less Documents Indexed: 104 Publications since 1969, including 9 Books 2 Contributions as Editor Co-Authors: 43 Co-Authors with 78 Joint Publications 731 Co-Co-Authors all top 5 Co-Authors 26 single-authored 30 Dumortier, Freddy 11 Broer, Henk W. 6 Naudot, Vincent 6 Rosenberg, Harold 6 Rousseau, Christiane 4 Caubergh, Magdalena 4 De Maesschalck, Peter 4 Saleh, Khairul 3 Panazzolo, Daniel 3 Simó, Carles 3 Sotomayor, Jorge 2 Li, Chengzhi 2 Mardešić, Pavao 2 Moussu, Robert 2 Rodrigues, Paulo Roberto 2 Wagener, Florian 2 Weil, Daniel 1 Annabi, Mohamed Larbi 1 Bamón, Rodrigo 1 Brauner, Claude-Michel 1 Caillau, Jean-Baptiste 1 de Carvalho, Sonia 1 Denkowska, Zofia Bogumila 1 El Morsalani, Mohamed 1 Féjoz, Jacques 1 Françoise, Jean-Pierre 1 Jardón-Kojakhmetov, Hildeberto 1 Joubert, G. P. 1 Kokubu, Hiroshi 1 Laudenbach, François 1 Luca, Stijn E. 1 Mahmoudi, Lilia 1 Mamouhdi, Lylia 1 Mormul, Piotr 1 Mourtada, Abderaouf 1 Moussu, R. P. 1 Ngô van Quê 1 Orieux, Michaël 1 Palis, Jacob jun. 1 Schlomiuk, Dana I. 1 Shang, Peipei 1 Zhang, Linwan 1 Żołądek, Henryk all top 5 Serials 11 Journal of Differential Equations 7 Discrete and Continuous Dynamical Systems 6 Qualitative Theory of Dynamical Systems 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 4 Lecture Notes in Mathematics 3 Nonlinearity 3 Annales de l’Institut Fourier 3 Ergodic Theory and Dynamical Systems 3 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 Boletim da Sociedade Brasileira de Matemática 2 Publications Mathématiques 2 Topology 2 Annals of Mathematics. Second Series 2 Moscow Mathematical Journal 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Transactions of the Moscow Mathematical Society 1 Publicacions Matemàtiques 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Regular and Chaotic Dynamics 1 Communications on Pure and Applied Analysis 1 International Journal of Applied Mathematics and Statistics 1 Astérisque 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Progress in Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Nonlinear Analysis. Theory, Methods & Applications 1 Modern Birkhäuser Classics all top 5 Fields 59 Ordinary differential equations (34-XX) 54 Dynamical systems and ergodic theory (37-XX) 21 Manifolds and cell complexes (57-XX) 13 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 84 Publications have been cited 1,613 times in 1,005 Documents Cited by ▼ Year ▼ Canard cycles and center manifolds. Zbl 0851.34057Dumortier, Freddy; Roussarie, Robert 205 1996 Bifurcation of planar vector fields and Hilbert’s sixteenth problem. Zbl 0898.58039Roussarie, Robert 159 1998 On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields. Zbl 0628.34032Roussarie, R. 134 1986 Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3. Zbl 0608.58034Dumortier, F.; Roussarie, R.; Sotomayor, J. 92 1987 Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals. Zbl 0755.58002Dumortier, F.; Roussarie, R.; Sotomayor, J.; Żoładek, H. 70 1991 Hilbert’s 16th problem for quadratic vector fields. Zbl 0802.34028Dumortier, F.; Roussarie, R.; Rousseau, C. 69 1994 More limit cycles than expected in Liénard equations. Zbl 1130.34018Dumortier, Freddy; Panazzolo, Daniel; Roussarie, Robert 57 2007 Multiple canard cycles in generalized Liénard equations. Zbl 1024.34038Dumortier, Freddy; Roussarie, Robert 42 2001 Abelian integrals and limit cycles. Zbl 1111.34028Dumortier, Freddy; Roussarie, Robert 38 2006 Elementary graphics of cyclicity 1 and 2. Zbl 0855.58043Dumortier, F.; Roussarie, R.; Rousseau, C. 36 1994 Existence of a singularly degenerate heteroclinic cycle in the Lorenz system and its dynamical consequences. I. Zbl 1061.34036Kokubu, Hiroshi; Roussarie, Robert 35 2004 Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms. Zbl 0876.58032Broer, Henk; Roussarrie, Robert; Simó, Carles 34 1996 Bifurcations of cuspidal loops. Zbl 0908.58043Dumortier, Freddy; Roussarie, Robert; Sotomayor, Jorge 32 1997 Birth of canard cycles. Zbl 1186.34080Dumortier, Freddy; Roussarie, Robert 32 2009 Cyclicity of common slow-fast cycles. Zbl 1233.34014De Maesschalck, P.; Dumortier, F.; Roussarie, R. 30 2011 Modeles locaux de champs et de formes. Zbl 0327.57017Roussarie, Robert 29 1976 Cyclicité finie des lacets et des points cuspidaux. (Finite cyclicity of loops and cusps). Zbl 0679.58037Roussarie, Robert 25 1989 Plongements dans les variétés feuilletees et classification de feuilletages sans holonomie. Zbl 0356.57017Roussarie, R. 24 1973 Germs of diffeomorphisms in the plane. Zbl 0502.58001Dumortier, Freddy; Rodrigues, Paulo R.; Roussarie, Robert 24 1981 A note on finite cyclicity property and Hilbert’s 16th problem. Zbl 0676.58046Roussarie, R. 23 1988 Putting a boundary to the space of Liénard equations. Zbl 1131.34036Roussarie, Robert 21 2007 Dynamics of a predator-prey model with non-monotonic response. Zbl 1129.92061Broer, H. W.; Saleh, K.; Naudot, V.; Roussarie, R. 21 2007 Geometric singular perturbation theory beyond normal hyperbolicity. Zbl 1007.34058Dumortier, Freddy; Roussarie, Robert 19 2001 Topological equivalence of Reeb foliations. Zbl 0211.26602Rosenberg, H.; Roussarie, R. 18 1970 Reeb foliations. Zbl 0198.28402Rosenberg, H.; Roussarie, R. 17 1970 Rélations de conjugaison et de cobordisme entre certains feuilletages. Zbl 0356.57018Moussu, R.; Roussarie, R. 16 1973 A method of desingularization for analytic two-dimensional vector field families. Zbl 0783.32019Denkowska, Zofia; Roussarie, Robert 16 1991 A classification of closed orientable 3-manifolds of rank two. Zbl 0195.25404Rosenberg, H.; Roussarie, R.; Weil, D. 15 1970 Modulus of analytic classification for unfoldings of generic parabolic diffeomorphisms. Zbl 1077.37035Mardešić, P.; Roussarie, R.; Rousseau, C. 13 2004 A predator-prey model with non-monotonic response function. Zbl 1164.37318Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K. 12 2006 Alien limit cycles near a Hamiltonian 2-saddle cycle. Zbl 1083.34025Caubergh, Magdalena; Dumortier, Freddy; Roussarie, Robert 11 2005 Canard cycles with two breaking parameters. Zbl 1140.34019Dumortier, Freddy; Roussarie, Robert 11 2007 Some remarks on stability of foliations. Zbl 0313.57016Rosenberg, Harold; Roussarie, Robert 10 1975 Perturbations of symmetric elliptic Hamiltonians of degree four. Zbl 1105.37034Li, Chengzhi; Mardešić, Pavao; Roussarie, Robert 10 2006 Melnikov functions and Bautin ideal. Zbl 1081.37030Roussarie, Robert 10 2001 Canard cycle transition at a slow-fast passage through a jump point. (Transition de cycles canard pour un passage lent-rapide par un point de saut.) Zbl 1291.34097De Maesschalck, Peter; Dumortier, Freddy; Roussarie, Robert 9 2014 Bifurcations of a predator-prey model with non-monotonic response function. Zbl 1096.34532Broer, H. W.; Naudot, Vincent; Roussarie, Robert; Saleh, Khairul 9 2005 Smooth linearization of germs of \(\mathbb{R}^2\)-actions and holomorphic vector fields. Zbl 0418.58015Dumortier, F.; Roussarie, R. 9 1980 Organising centres in the semi-global analysis of dynamical systems. Zbl 1211.37020Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K.; Wagener, F. O. O. 9 2007 Canard-cycle transition at a fast-fast passage through a jump point. (Transition de cycles canard pour un passage rapide-rapide par un point de saut.) Zbl 1287.34044De Maesschalck, Peter; Dumortier, Freddy; Roussarie, Robert 8 2014 Une condition suffisante pour qu’un feuilletage soit sans holonomie. Zbl 0196.26902Moussu, R.; Roussarie, R. 8 1970 Bifurcation of relaxation oscillations in dimension two. Zbl 1157.34037Dumortier, Freddy; Roussairie, Robert 8 2007 On the Bogdanov-Takens bifurcation for planar diffeomorphisms. Zbl 0938.37512Broer, H. W.; Roussarie, R.; Simó, C. 8 1993 Almost planar homoclinic loops in \(\mathbb{R}^ 3\). Zbl 0849.34036Roussarie, Robert; Rousseau, Christiane 7 1996 Sur les feuilletages des variétés de dimension trois. Zbl 0208.25702Roussarie, R. 7 1971 Canard cycles of finite codimension with two breaking parameters. Zbl 1261.34044Mamouhdi, Lylia; Roussarie, Robert 7 2012 Exponential confinement of chaos in the bifurcation sets of real analytic diffeomorphisms. Zbl 1198.37069Broer, Henk W.; Roussarie, Robert 7 2001 Canard cycles. From birth to transition. Zbl 07384451De Maesschalck, Peter; Dumortier, Freddy; Roussarie, Robert 6 2022 Alien limit cycles in rigid unfoldings of a Hamiltonian 2-saddle cycle. Zbl 1138.34020Caubergh, Magdalena; Dumortier, Freddy; Roussarie, Robert 6 2007 The cyclicity of the elliptic segment loops of the reversible quadratic Hamiltonian systems under quadratic perturbations. Zbl 1071.34032Li, Chengzhi; Roussarie, Robert 5 2004 Analysis of a slow-fast system near a cusp singularity. Zbl 1341.34059Jardón-Kojakhmetov, H.; Broer, Henk W.; Roussarie, R. 5 2016 Smoothness property for bifurcation diagrams. Zbl 0888.34032Roussarie, R. 5 1997 Techniques in the theory of local bifurcations: Cyclicity and desingularization. Zbl 0791.58079Roussarie, Robert 5 1993 Detecting alien limit cycles near a Hamiltonian 2-saddle cycle. Zbl 1194.34084Luca, Stijn; Dumortier, Freddy; Caubergh, Magdalena; Roussarie, Robert 5 2009 On the geometric structure of the class of planar quadratic differential systems. Zbl 1043.34035Roussarie, Robert; Schlomiuk, Dana 5 2002 Sur l’isotopie des formes fermées en dimension 3. Zbl 0467.58004Ngo Van Que; Roussarie, Robert 4 1981 Germes de difféomorphismes et de champs de vecteurs en classe de différentiabilite finie. Zbl 0488.58005Dumortier, F.; Roussarie, R. 4 1983 Extension du ’closing lemma’ aux actions de \(R^ 2\) sur les variétés de \(\dim=3\). Zbl 0202.55101Roussarie, Robert; Weil, Daniel 4 1970 Bifurcations of cuspidal loops preserving nilpotent singularities. Zbl 1090.37037Panazzolo, D.; Roussarie, R. 4 2005 Multi-layer canard cycles and translated power functions. Zbl 1355.34055Dumortier, Freddy; Roussarie, Robert 4 2008 Smooth normal linearization of vector fields near lines of singularities. Zbl 1221.34104Dumortier, Freddy; Roussarie, Robert 4 2010 A numerical survey on the Takens-Bogdanov bifurcation for diffeomorphisms. Zbl 1026.37517Simó, Carles; Broer, Henk; Roussarie, Robert 3 1991 Weak and continuous equivalences for families on line diffeomorphisms. Zbl 0641.58037Roussarie, R. 3 1987 Un exemple de feuilletage sur \(S^ 3\). Zbl 0198.28403Laudenbach, F.; Roussarie, R. 3 1970 Les feuilles exceptionnelles ne sont pas exceptionnelles. Zbl 0209.54705Rosenberg, H.; Roussarie, R. 3 1970 On the saddle loop bifurcation. Zbl 0731.34010Dumortier, F.; Roussarie, R. 3 1990 Desingularization of unfoldings of cuspidal loops. Zbl 0765.58023Roussarie, R. 2 1992 A Poincaré-Bendixson theorem for analytic families of vector fields. Zbl 0837.58023Panazzolo, D.; Roussarie, R. 2 1995 Déformations génériques des cusps. (Generic deformations of cusps). Zbl 0656.58002Roussarie, R. 2 1987 Finite cyclicity of some center graphics through a nilpotent point inside quadratic systems. Zbl 1334.34077Roussarie, Robert; Rousseau, Christiane 2 2015 A study of the Bogdanov-Takens bifurcation. Zbl 0848.34022Roussarie, R.; Wagener, F. 2 1995 Linearisation différentiable des germes singuliers d’actions de \(R^2\) et de champs de vecteurs holomorphes. Zbl 0367.58003Dumortier, Freddy; Roussarie, Robert 2 1977 Bifurcations of planar vector fields and Hilbert’s sixteenth problem. Reprint of the 1998 edition. Zbl 1278.37002Roussarie, Robert 2 2013 Quasi-regularity property for unfoldings of hyperbolic polycycles. Zbl 0810.58028El Morsalani, M.; Mourtada, A.; Roussarie, R. 2 1994 Bifurcations of planar vector fields. Proceedings of a meeting held in Luminy, France, Sept. 18-22, 1989. Zbl 0707.00011 1 1990 Existence of a traveling wave solution in a free interface problem with fractional order kinetics. Zbl 1459.35408Brauner, Claude-Michel; Roussarie, Robert; Shang, Peipei; Zhang, Linwan 1 2021 A topological study of planar vector field singularities. Zbl 1448.34068Roussarie, Robert 1 2020 Topological invariants as numbers of translation. Zbl 0575.58026Palis, J.; Roussarie, R. 1 1985 Constructions de feuilletages (d’apres W. Thurston). Zbl 0384.57012Roussarie, Robert 1 1978 Singularites des champs de vecteurs et existence d’intégrales premieres. Zbl 0414.58025Roussarie, R. 1 1976 Sur les feuilletages des variétés orientables de dimension 3. Zbl 0212.56301Roussarie, R. 1 1969 Quasi-conformal mapping theorem and bifurcations. Zbl 0930.30019Roussarie, Robert 1 1998 Generic unfoldings with the same bifurcation diagram which are not \((C^0,C^0)\)-equivalent. Zbl 0901.58033Annabi, H.; Annabi, M. L.; Roussarie, R. 1 1997 Finite cyclicity of nilpotent graphics of pp-type surrounding a center. Zbl 1165.34019Roussarie, R.; Rousseau, C. 1 2008 Canard cycles. From birth to transition. Zbl 07384451De Maesschalck, Peter; Dumortier, Freddy; Roussarie, Robert 6 2022 Existence of a traveling wave solution in a free interface problem with fractional order kinetics. Zbl 1459.35408Brauner, Claude-Michel; Roussarie, Robert; Shang, Peipei; Zhang, Linwan 1 2021 A topological study of planar vector field singularities. Zbl 1448.34068Roussarie, Robert 1 2020 Analysis of a slow-fast system near a cusp singularity. Zbl 1341.34059Jardón-Kojakhmetov, H.; Broer, Henk W.; Roussarie, R. 5 2016 Finite cyclicity of some center graphics through a nilpotent point inside quadratic systems. Zbl 1334.34077Roussarie, Robert; Rousseau, Christiane 2 2015 Canard cycle transition at a slow-fast passage through a jump point. (Transition de cycles canard pour un passage lent-rapide par un point de saut.) Zbl 1291.34097De Maesschalck, Peter; Dumortier, Freddy; Roussarie, Robert 9 2014 Canard-cycle transition at a fast-fast passage through a jump point. (Transition de cycles canard pour un passage rapide-rapide par un point de saut.) Zbl 1287.34044De Maesschalck, Peter; Dumortier, Freddy; Roussarie, Robert 8 2014 Bifurcations of planar vector fields and Hilbert’s sixteenth problem. Reprint of the 1998 edition. Zbl 1278.37002Roussarie, Robert 2 2013 Canard cycles of finite codimension with two breaking parameters. Zbl 1261.34044Mamouhdi, Lylia; Roussarie, Robert 7 2012 Cyclicity of common slow-fast cycles. Zbl 1233.34014De Maesschalck, P.; Dumortier, F.; Roussarie, R. 30 2011 Smooth normal linearization of vector fields near lines of singularities. Zbl 1221.34104Dumortier, Freddy; Roussarie, Robert 4 2010 Birth of canard cycles. Zbl 1186.34080Dumortier, Freddy; Roussarie, Robert 32 2009 Detecting alien limit cycles near a Hamiltonian 2-saddle cycle. Zbl 1194.34084Luca, Stijn; Dumortier, Freddy; Caubergh, Magdalena; Roussarie, Robert 5 2009 Multi-layer canard cycles and translated power functions. Zbl 1355.34055Dumortier, Freddy; Roussarie, Robert 4 2008 Finite cyclicity of nilpotent graphics of pp-type surrounding a center. Zbl 1165.34019Roussarie, R.; Rousseau, C. 1 2008 More limit cycles than expected in Liénard equations. Zbl 1130.34018Dumortier, Freddy; Panazzolo, Daniel; Roussarie, Robert 57 2007 Putting a boundary to the space of Liénard equations. Zbl 1131.34036Roussarie, Robert 21 2007 Dynamics of a predator-prey model with non-monotonic response. Zbl 1129.92061Broer, H. W.; Saleh, K.; Naudot, V.; Roussarie, R. 21 2007 Canard cycles with two breaking parameters. Zbl 1140.34019Dumortier, Freddy; Roussarie, Robert 11 2007 Organising centres in the semi-global analysis of dynamical systems. Zbl 1211.37020Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K.; Wagener, F. O. O. 9 2007 Bifurcation of relaxation oscillations in dimension two. Zbl 1157.34037Dumortier, Freddy; Roussairie, Robert 8 2007 Alien limit cycles in rigid unfoldings of a Hamiltonian 2-saddle cycle. Zbl 1138.34020Caubergh, Magdalena; Dumortier, Freddy; Roussarie, Robert 6 2007 Abelian integrals and limit cycles. Zbl 1111.34028Dumortier, Freddy; Roussarie, Robert 38 2006 A predator-prey model with non-monotonic response function. Zbl 1164.37318Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K. 12 2006 Perturbations of symmetric elliptic Hamiltonians of degree four. Zbl 1105.37034Li, Chengzhi; Mardešić, Pavao; Roussarie, Robert 10 2006 Alien limit cycles near a Hamiltonian 2-saddle cycle. Zbl 1083.34025Caubergh, Magdalena; Dumortier, Freddy; Roussarie, Robert 11 2005 Bifurcations of a predator-prey model with non-monotonic response function. Zbl 1096.34532Broer, H. W.; Naudot, Vincent; Roussarie, Robert; Saleh, Khairul 9 2005 Bifurcations of cuspidal loops preserving nilpotent singularities. Zbl 1090.37037Panazzolo, D.; Roussarie, R. 4 2005 Existence of a singularly degenerate heteroclinic cycle in the Lorenz system and its dynamical consequences. I. Zbl 1061.34036Kokubu, Hiroshi; Roussarie, Robert 35 2004 Modulus of analytic classification for unfoldings of generic parabolic diffeomorphisms. Zbl 1077.37035Mardešić, P.; Roussarie, R.; Rousseau, C. 13 2004 The cyclicity of the elliptic segment loops of the reversible quadratic Hamiltonian systems under quadratic perturbations. Zbl 1071.34032Li, Chengzhi; Roussarie, Robert 5 2004 On the geometric structure of the class of planar quadratic differential systems. Zbl 1043.34035Roussarie, Robert; Schlomiuk, Dana 5 2002 Multiple canard cycles in generalized Liénard equations. Zbl 1024.34038Dumortier, Freddy; Roussarie, Robert 42 2001 Geometric singular perturbation theory beyond normal hyperbolicity. Zbl 1007.34058Dumortier, Freddy; Roussarie, Robert 19 2001 Melnikov functions and Bautin ideal. Zbl 1081.37030Roussarie, Robert 10 2001 Exponential confinement of chaos in the bifurcation sets of real analytic diffeomorphisms. Zbl 1198.37069Broer, Henk W.; Roussarie, Robert 7 2001 Bifurcation of planar vector fields and Hilbert’s sixteenth problem. Zbl 0898.58039Roussarie, Robert 159 1998 Quasi-conformal mapping theorem and bifurcations. Zbl 0930.30019Roussarie, Robert 1 1998 Bifurcations of cuspidal loops. Zbl 0908.58043Dumortier, Freddy; Roussarie, Robert; Sotomayor, Jorge 32 1997 Smoothness property for bifurcation diagrams. Zbl 0888.34032Roussarie, R. 5 1997 Generic unfoldings with the same bifurcation diagram which are not \((C^0,C^0)\)-equivalent. Zbl 0901.58033Annabi, H.; Annabi, M. L.; Roussarie, R. 1 1997 Canard cycles and center manifolds. Zbl 0851.34057Dumortier, Freddy; Roussarie, Robert 205 1996 Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms. Zbl 0876.58032Broer, Henk; Roussarrie, Robert; Simó, Carles 34 1996 Almost planar homoclinic loops in \(\mathbb{R}^ 3\). Zbl 0849.34036Roussarie, Robert; Rousseau, Christiane 7 1996 A Poincaré-Bendixson theorem for analytic families of vector fields. Zbl 0837.58023Panazzolo, D.; Roussarie, R. 2 1995 A study of the Bogdanov-Takens bifurcation. Zbl 0848.34022Roussarie, R.; Wagener, F. 2 1995 Hilbert’s 16th problem for quadratic vector fields. Zbl 0802.34028Dumortier, F.; Roussarie, R.; Rousseau, C. 69 1994 Elementary graphics of cyclicity 1 and 2. Zbl 0855.58043Dumortier, F.; Roussarie, R.; Rousseau, C. 36 1994 Quasi-regularity property for unfoldings of hyperbolic polycycles. Zbl 0810.58028El Morsalani, M.; Mourtada, A.; Roussarie, R. 2 1994 On the Bogdanov-Takens bifurcation for planar diffeomorphisms. Zbl 0938.37512Broer, H. W.; Roussarie, R.; Simó, C. 8 1993 Techniques in the theory of local bifurcations: Cyclicity and desingularization. Zbl 0791.58079Roussarie, Robert 5 1993 Desingularization of unfoldings of cuspidal loops. Zbl 0765.58023Roussarie, R. 2 1992 Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals. Zbl 0755.58002Dumortier, F.; Roussarie, R.; Sotomayor, J.; Żoładek, H. 70 1991 A method of desingularization for analytic two-dimensional vector field families. Zbl 0783.32019Denkowska, Zofia; Roussarie, Robert 16 1991 A numerical survey on the Takens-Bogdanov bifurcation for diffeomorphisms. Zbl 1026.37517Simó, Carles; Broer, Henk; Roussarie, Robert 3 1991 On the saddle loop bifurcation. Zbl 0731.34010Dumortier, F.; Roussarie, R. 3 1990 Bifurcations of planar vector fields. Proceedings of a meeting held in Luminy, France, Sept. 18-22, 1989. Zbl 0707.00011 1 1990 Cyclicité finie des lacets et des points cuspidaux. (Finite cyclicity of loops and cusps). Zbl 0679.58037Roussarie, Robert 25 1989 A note on finite cyclicity property and Hilbert’s 16th problem. Zbl 0676.58046Roussarie, R. 23 1988 Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3. Zbl 0608.58034Dumortier, F.; Roussarie, R.; Sotomayor, J. 92 1987 Weak and continuous equivalences for families on line diffeomorphisms. Zbl 0641.58037Roussarie, R. 3 1987 Déformations génériques des cusps. (Generic deformations of cusps). Zbl 0656.58002Roussarie, R. 2 1987 On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields. Zbl 0628.34032Roussarie, R. 134 1986 Topological invariants as numbers of translation. Zbl 0575.58026Palis, J.; Roussarie, R. 1 1985 Germes de difféomorphismes et de champs de vecteurs en classe de différentiabilite finie. Zbl 0488.58005Dumortier, F.; Roussarie, R. 4 1983 Germs of diffeomorphisms in the plane. Zbl 0502.58001Dumortier, Freddy; Rodrigues, Paulo R.; Roussarie, Robert 24 1981 Sur l’isotopie des formes fermées en dimension 3. Zbl 0467.58004Ngo Van Que; Roussarie, Robert 4 1981 Smooth linearization of germs of \(\mathbb{R}^2\)-actions and holomorphic vector fields. Zbl 0418.58015Dumortier, F.; Roussarie, R. 9 1980 Constructions de feuilletages (d’apres W. Thurston). Zbl 0384.57012Roussarie, Robert 1 1978 Linearisation différentiable des germes singuliers d’actions de \(R^2\) et de champs de vecteurs holomorphes. Zbl 0367.58003Dumortier, Freddy; Roussarie, Robert 2 1977 Modeles locaux de champs et de formes. Zbl 0327.57017Roussarie, Robert 29 1976 Singularites des champs de vecteurs et existence d’intégrales premieres. Zbl 0414.58025Roussarie, R. 1 1976 Some remarks on stability of foliations. Zbl 0313.57016Rosenberg, Harold; Roussarie, Robert 10 1975 Plongements dans les variétés feuilletees et classification de feuilletages sans holonomie. Zbl 0356.57017Roussarie, R. 24 1973 Rélations de conjugaison et de cobordisme entre certains feuilletages. Zbl 0356.57018Moussu, R.; Roussarie, R. 16 1973 Sur les feuilletages des variétés de dimension trois. Zbl 0208.25702Roussarie, R. 7 1971 Topological equivalence of Reeb foliations. Zbl 0211.26602Rosenberg, H.; Roussarie, R. 18 1970 Reeb foliations. Zbl 0198.28402Rosenberg, H.; Roussarie, R. 17 1970 A classification of closed orientable 3-manifolds of rank two. Zbl 0195.25404Rosenberg, H.; Roussarie, R.; Weil, D. 15 1970 Une condition suffisante pour qu’un feuilletage soit sans holonomie. Zbl 0196.26902Moussu, R.; Roussarie, R. 8 1970 Extension du ’closing lemma’ aux actions de \(R^ 2\) sur les variétés de \(\dim=3\). Zbl 0202.55101Roussarie, Robert; Weil, Daniel 4 1970 Un exemple de feuilletage sur \(S^ 3\). Zbl 0198.28403Laudenbach, F.; Roussarie, R. 3 1970 Les feuilles exceptionnelles ne sont pas exceptionnelles. Zbl 0209.54705Rosenberg, H.; Roussarie, R. 3 1970 Sur les feuilletages des variétés orientables de dimension 3. Zbl 0212.56301Roussarie, R. 1 1969 all cited Publications top 5 cited Publications all top 5 Cited by 950 Authors 55 Han, Maoan 42 Dumortier, Freddy 42 Llibre, Jaume 31 De Maesschalck, Peter 31 Roussarie, Robert 21 Rousseau, Christiane 21 Torregrosa, Joan 20 Huzak, Renato 19 Villadelprat, Jordi 18 Mardešić, Pavao 17 Li, Chengzhi 17 Wechselberger, Martin 16 Broer, Henk W. 16 Uldall Kristiansen, K. 15 Huang, Jicai 15 Kühn, Christian 15 Teixeira, Marco Antonio 14 Gasull, Armengol 14 Gavrilov, Lubomir 14 Xiao, Dongmei 13 Rodríguez-Luis, Alejandro J. 13 Yang, Junmin 13 Zhu, Huaiping 12 Algaba, Antonio 12 Szmolyan, Peter 11 Da Silva, Paulo Ricardo 11 Desroches, Mathieu 11 Simó, Carles 11 Zang, Hong 11 Zhang, Xiang 11 Zhao, Yulin 10 Françoise, Jean-Pierre 10 García, Isaac A. 10 Krupa, Martin 10 Romanovskiĭ, Valeriĭ Georgievich 10 Yu, Pei 10 Zhang, Tonghua 10 Zhao, Liqin 9 Bonckaert, Patrick 9 Caubergh, Magdalena 9 Jardón-Kojakhmetov, Hildeberto 9 Oliveira, Regilene D. S. 9 Popović, Nikola 9 Wang, Haijun 8 Artés, Joan Carles 8 Kaper, Tasso J. 8 Li, Xianyi 8 Marín Pérez, David 7 Asheghi, Rasoul 7 Chen, Hebai 7 Gaiko, Valery A. 7 Garcia, Ronaldo A. 7 Giné, Jaume 7 Mañosas, Francesc 7 Naudot, Vincent 7 Resman, Maja 7 Ruan, Shigui 7 Schlomiuk, Dana I. 7 Sotomayor, Jorge 7 Zangeneh, Hamid R. Z. 7 Zhang, Zhifen 7 Županović, Vesna 6 Buzzi, Claudio Aguinaldo 6 Grau, Maite 6 Kazemi, Rasool 6 Qin, Bo-Wei 6 Rabanal, Roland 6 Sun, Xianbo 6 Wang, Jihua 5 Chung, Kwok-Wai 5 Freire Macías, Emilio 5 Hogan, S. John 5 Iliev, Iliya Dimov 5 Jelbart, Samuel 5 Liu, Changjian 5 Lu, Min 5 Merino, Manuel 5 Miranda Martins, Ricardo 5 Novaes, Douglas Duarte 5 Novikov, Dmitry 5 Prohens, Rafel 5 Saavedra, Mariana 5 Schecter, Stephen 5 Shan, Chunhua 5 Shen, Jianhe 5 Wei, Zhouchao 5 Yomdin, Yosef 5 Zhu, Deming 4 Alvarez, María Jesus 4 Arraut, José Luis 4 Brøns, Morten 4 Châtelet, Gilles 4 Christopher, Colin J. 4 Du, Zengji 4 Engel, Maximilian 4 Gelfreich, Vassili 4 Ilyashenko, Yulij Sergeevich 4 Jiang, Jiao 4 Kuznetsov, Yuri Alexandrovich 4 Li, Jibin ...and 850 more Authors all top 5 Cited in 159 Serials 162 Journal of Differential Equations 82 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 43 Qualitative Theory of Dynamical Systems 40 Journal of Mathematical Analysis and Applications 33 Physica D 32 Annales de l’Institut Fourier 32 Journal of Dynamics and Differential Equations 23 SIAM Journal on Applied Dynamical Systems 20 Nonlinear Dynamics 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Transactions of the American Mathematical Society 16 Journal of Dynamical and Control Systems 15 Nonlinearity 14 Chaos, Solitons and Fractals 14 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 13 Journal of Nonlinear Science 12 Proceedings of the American Mathematical Society 12 Ergodic Theory and Dynamical Systems 12 Nonlinear Analysis. Real World Applications 11 Inventiones Mathematicae 11 Discrete and Continuous Dynamical Systems. Series B 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Applied Mathematics and Computation 8 Journal of Mathematical Biology 8 Publications Mathématiques 8 Journal of Difference Equations and Applications 8 Discrete and Continuous Dynamical Systems 7 Topology and its Applications 7 Science in China. Series A 7 Bulletin des Sciences Mathématiques 7 Communications on Pure and Applied Analysis 7 Nonlinear Analysis. Theory, Methods & Applications 6 Chaos 6 Acta Mathematica Sinica. English Series 6 Communications in Nonlinear Science and Numerical Simulation 5 Rocky Mountain Journal of Mathematics 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Indagationes Mathematicae. New Series 5 Dynamical Systems 5 Discrete and Continuous Dynamical Systems. Series S 5 The Journal of Mathematical Neuroscience 5 Journal of Applied Analysis and Computation 4 Israel Journal of Mathematics 4 Mathematical Notes 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Advances in Mathematics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Functional Analysis and its Applications 4 Geometriae Dedicata 4 Transactions of the Moscow Mathematical Society 4 Acta Applicandae Mathematicae 4 Mathematical and Computer Modelling 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 SIAM Journal on Mathematical Analysis 4 Boletim da Sociedade Brasileira de Matemática. Nova Série 4 Regular and Chaotic Dynamics 4 Bulletin of the Brazilian Mathematical Society. New Series 3 Computers & Mathematics with Applications 3 Journal of Fluid Mechanics 3 Mathematical Biosciences 3 Bulletin of Mathematical Biology 3 Bulletin de la Société Mathématique de France 3 Duke Mathematical Journal 3 Journal of Functional Analysis 3 Mathematics and Computers in Simulation 3 Mathematische Zeitschrift 3 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 3 Applied Mathematics and Mechanics. (English Edition) 3 Chinese Annals of Mathematics. Series B 3 Acta Mathematicae Applicatae Sinica. English Series 3 Applied Mathematics Letters 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Mathematical Sciences (New York) 3 Mathematical Modelling of Natural Phenomena 3 International Journal of Biomathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Russian Mathematical Surveys 2 Journal of Geometry and Physics 2 Acta Mathematica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 SIAM Journal on Control and Optimization 2 SIAM Review 2 Expositiones Mathematicae 2 Acta Mathematica Sinica. New Series 2 Doklady Mathematics 2 Differential Equations and Dynamical Systems 2 Abstract and Applied Analysis 2 Discrete Dynamics in Nature and Society 2 Annals of Mathematics. Second Series 2 Communications in Contemporary Mathematics 2 Mathematical Modelling and Analysis 2 Journal of Applied Mathematics and Computing 2 Advances in Difference Equations 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Computational Dynamics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Physics Letters. A ...and 59 more Serials all top 5 Cited in 45 Fields 730 Ordinary differential equations (34-XX) 434 Dynamical systems and ergodic theory (37-XX) 149 Biology and other natural sciences (92-XX) 77 Manifolds and cell complexes (57-XX) 45 Global analysis, analysis on manifolds (58-XX) 37 Partial differential equations (35-XX) 37 Mechanics of particles and systems (70-XX) 30 Several complex variables and analytic spaces (32-XX) 27 Differential geometry (53-XX) 22 Numerical analysis (65-XX) 16 Algebraic geometry (14-XX) 14 Functions of a complex variable (30-XX) 13 Difference and functional equations (39-XX) 10 Systems theory; control (93-XX) 9 Fluid mechanics (76-XX) 7 Algebraic topology (55-XX) 6 Nonassociative rings and algebras (17-XX) 6 Probability theory and stochastic processes (60-XX) 5 Measure and integration (28-XX) 4 Approximations and expansions (41-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Geophysics (86-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year