Edit Profile Lobry, Claude Compute Distance To: Compute Author ID: lobry.claude Published as: Lobry, C.; Lobry, Claude Documents Indexed: 57 Publications since 1970, including 3 Books all top 5 Co-Authors 25 single-authored 11 Sari, Tewfik 7 Rapaport, Alain 5 Harmand, Jérôme 5 Mazenc, Frédéric 4 Benoît, Eric 2 Arditi, Roger 2 Candelpergher, Bernard 2 Drame, Abdou Khadry 2 Fekih-Salem, Radhouane 1 Benaïm, Michel 1 Brunovský, Pavol 1 Chaker, Hédia 1 Claude, Daniel 1 Delfini, Pierre 1 Demongeot, Jacques 1 Diener, Marc 1 El Hajji, Miled 1 El Mamoune, Idriss Ben 1 Fletcher, Peter 1 Hrbáček, Karel 1 Kalitine, B. S. 1 Kanovei, Vladimir G. 1 Katz, Mikhail G. 1 Krener, Arthur James 1 Mazat, F. 1 Ollivier, François 1 Sanders, Sam 1 Touhami, Sefiane 1 Wallet, Guy 1 Yadi, Karim all top 5 Serials 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Electronic Journal of Differential Equations (EJDE) 2 Theoretical Population Biology 2 Comptes Rendus de l’Académie des Sciences. Série I 2 SIAM Journal on Control 1 International Journal of Control 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Stochastics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 Gazette des Mathématiciens 1 Real Analysis Exchange 1 SIAM Journal on Control and Optimization 1 Mathematical and Computer Modelling 1 The Annals of Applied Probability 1 European Mathematical Society Newsletter 1 Mathematical and Computer Modelling of Dynamical Systems 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Revue Française d’Informatique et de Recherche Opérationnelle 1 SMF Journée Annuelle 1 Journal of Biological Dynamics 1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Jaune all top 5 Fields 20 Systems theory; control (93-XX) 17 Ordinary differential equations (34-XX) 16 Biology and other natural sciences (92-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Mathematical logic and foundations (03-XX) 6 Probability theory and stochastic processes (60-XX) 5 Real functions (26-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Algebraic geometry (14-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 347 times in 262 Documents Cited by ▼ Year ▼ Contrôlabilité des systèmes non linéaires. Zbl 0207.15201Lobry, C. 64 1970 Controllability of nonlinear systems on compact manifolds. Zbl 0286.93006Lobry, C. 34 1974 Lotka-Volterra with randomly fluctuating environments or “how switching between beneficial environments can make survival harder”. Zbl 1358.92075Benaïm, Michel; Lobry, Claude 22 2016 The chemostat. Mathematical theory of microorganism cultures. Zbl 1384.92001Harmand, Jérôme; Lobry, Claude; Rapaport, Alain; Sari, Tewfik 21 2017 Is dispersal always beneficial to carrying capacity? New insights from the multi-patch logistic equation. Zbl 1343.92389Arditi, Roger; Lobry, Claude; Sari, Tewfik 19 2015 Une propriété generique des couples de champs de vecteurs. Zbl 0242.58007Lobry, C. 14 1972 Persistence in ecological models of competition for a single resource. Zbl 1073.34054Lobry, Claude; Mazenc, Frédéric; Rapaport, Alain 13 2005 Dynamical polysystems and control theory. Zbl 0279.93012Lobry, C. 13 1973 Extensions of the chemostat model with flocculation. Zbl 1275.92014Fekih-Salem, R.; Harmand, J.; Lobry, C.; Rapaport, A.; Sari, T. 12 2013 Contrôlabilite bang bang, contrôlabilite différentiable, et perturbation des systèmes non linéaires. Zbl 0316.93007Brunovsky, Pavol; Lobry, Claude 12 1975 Approaches to analysis with infinitesimals following Robinson, Nelson, and others. Zbl 1435.03094Fletcher, Peter; Hrbacek, Karel; Kanovei, Vladimir; Katz, Mikhail G.; Lobry, Claude; Sanders, Sam 11 2017 On Tykhonov’s theorem for convergence of solutions of slow and fast systems. Zbl 0897.34052Lobry, Claude; Sari, Tewfik; Touhami, Sefiane 11 1998 Asymmetric dispersal in the multi-patch logistic equation. Zbl 1397.92555Arditi, Roger; Lobry, Claude; Sari, Tewfik 9 2018 Effect on persistence of intra-specific competition in competition models. Zbl 1133.92028Lobry, Claude; Mazenc, Frederic 9 2007 Dynamic bifurcations. Zbl 0875.34011Lobry, Claude 9 1991 Les canards de \(R^ 3\). Zbl 0489.34061Benoit, Eric; Lobry, Claude 9 1982 A density-dependent model of competition for one resource in the chemostat. Zbl 1366.92074Fekih-Salem, Radhouane; Lobry, Claude; Sari, Tewfik 7 2017 Non-standard analysis and representation of reality. Zbl 1152.94332Lobry, C.; Sari, T. 7 2008 Singular perturbations methods in control theory. Zbl 1231.34099Lobry, Claude; Sari, Tewfik 6 2005 Association between competition and obligate mutualism in a chemostat. Zbl 1315.92059El Hajji, Miled; Harmand, Jérôme; Chaker, Hédia; Lobry, Claude 5 2009 The complexity of stochastic differential equations. Zbl 0452.60069Krener, Arthur J.; Lobry, Claude 5 1981 Controlabilité de systèmes linéaires par des commandes bang-bang. Zbl 0219.93002Lobry, C. 5 1970 La traversée de l’axe imaginaire n’a pas toujours lieu là où l’on croit l’observer. (The traverse through the imaginary axis has not always been where supposed). Zbl 0687.58029Lobry, C.; Wallet, G. 4 1989 Une propriété de l’ensemble des états accessibles d’un système guidable. Zbl 0207.15202Lobry, C. 4 1971 Multiple steady state profiles in interconnected biological systems. Zbl 1126.92047Dramé, A. K.; Harmand, J.; Rapaport, A.; Lobry, C. 3 2006 Complete contrôlabilite de certains systèmes non linéaires. Zbl 0403.93010Kalitine, B.; Lobry, C. 2 1979 Controllability of non-linear control dynamical systems. Zbl 0356.93007Lobry, C. 2 1976 Quelques propriétés ’generiques’ des systèmes à commande. Zbl 0246.93017Lobry, C. 2 1972 Application d’un résultat de Chow à la théorie du contrôle optimal. Zbl 0192.51603Lobry, Claude 2 1970 Coexistence of three predators competing for a single biotic resource. Zbl 1402.92352Lobry, Claude; Sari, Tewfik; Yadi, Karim 1 2011 Multiple stable equilibrium profiles in tubular bioreactors. Zbl 1187.34027Dramé, A. K.; Lobry, C.; Harmand, J.; Rapaport, A.; Mazenc, F. 1 2008 Stability analysis of an ecological model. Zbl 1110.92052Mazenc, F.; Lobry, C.; Rapaport, A. 1 2006 Control theory and environmental problems: Slow fast models for management of renewable ressources. Zbl 0800.92152Lobry, C. 1 1992 A propos du sens des textes mathématiques un exemple: La théorie des ”bifurcations dynamiques”. Zbl 0758.00003Lobry, Claude 1 1992 Formal controllability and physical controllability of linear systems. Zbl 0712.93004Lobry, Claude; Delfini, Pierre 1 1990 Continuity of trajectories of random walks with infinitesimal steps. Zbl 0686.60069Benoit, E.; Candelpergher, B.; Lobry, C. 1 1989 Bifurcation dynamique avec bruit multiplicatif. (Dynamic bifurcation with multiplicative noise). Zbl 0683.58040Benoit, E.; Candelpergher, B.; Lobry, C. 1 1989 Contrôlabilite des systèmes non linéaires. Zbl 0476.93015Lobry, C. 1 1981 Critères de gouvernabilite des asservissements non linéaires. Zbl 0353.93014Lobry, C. 1 1976 Erratum: Contrôlabilite des systèmes non linéaires. Zbl 0328.93004Lobry, C. 1 1976 Asymmetric dispersal in the multi-patch logistic equation. Zbl 1397.92555Arditi, Roger; Lobry, Claude; Sari, Tewfik 9 2018 The chemostat. Mathematical theory of microorganism cultures. Zbl 1384.92001Harmand, Jérôme; Lobry, Claude; Rapaport, Alain; Sari, Tewfik 21 2017 Approaches to analysis with infinitesimals following Robinson, Nelson, and others. Zbl 1435.03094Fletcher, Peter; Hrbacek, Karel; Kanovei, Vladimir; Katz, Mikhail G.; Lobry, Claude; Sanders, Sam 11 2017 A density-dependent model of competition for one resource in the chemostat. Zbl 1366.92074Fekih-Salem, Radhouane; Lobry, Claude; Sari, Tewfik 7 2017 Lotka-Volterra with randomly fluctuating environments or “how switching between beneficial environments can make survival harder”. Zbl 1358.92075Benaïm, Michel; Lobry, Claude 22 2016 Is dispersal always beneficial to carrying capacity? New insights from the multi-patch logistic equation. Zbl 1343.92389Arditi, Roger; Lobry, Claude; Sari, Tewfik 19 2015 Extensions of the chemostat model with flocculation. Zbl 1275.92014Fekih-Salem, R.; Harmand, J.; Lobry, C.; Rapaport, A.; Sari, T. 12 2013 Coexistence of three predators competing for a single biotic resource. Zbl 1402.92352Lobry, Claude; Sari, Tewfik; Yadi, Karim 1 2011 Association between competition and obligate mutualism in a chemostat. Zbl 1315.92059El Hajji, Miled; Harmand, Jérôme; Chaker, Hédia; Lobry, Claude 5 2009 Non-standard analysis and representation of reality. Zbl 1152.94332Lobry, C.; Sari, T. 7 2008 Multiple stable equilibrium profiles in tubular bioreactors. Zbl 1187.34027Dramé, A. K.; Lobry, C.; Harmand, J.; Rapaport, A.; Mazenc, F. 1 2008 Effect on persistence of intra-specific competition in competition models. Zbl 1133.92028Lobry, Claude; Mazenc, Frederic 9 2007 Multiple steady state profiles in interconnected biological systems. Zbl 1126.92047Dramé, A. K.; Harmand, J.; Rapaport, A.; Lobry, C. 3 2006 Stability analysis of an ecological model. Zbl 1110.92052Mazenc, F.; Lobry, C.; Rapaport, A. 1 2006 Persistence in ecological models of competition for a single resource. Zbl 1073.34054Lobry, Claude; Mazenc, Frédéric; Rapaport, Alain 13 2005 Singular perturbations methods in control theory. Zbl 1231.34099Lobry, Claude; Sari, Tewfik 6 2005 On Tykhonov’s theorem for convergence of solutions of slow and fast systems. Zbl 0897.34052Lobry, Claude; Sari, Tewfik; Touhami, Sefiane 11 1998 Control theory and environmental problems: Slow fast models for management of renewable ressources. Zbl 0800.92152Lobry, C. 1 1992 A propos du sens des textes mathématiques un exemple: La théorie des ”bifurcations dynamiques”. Zbl 0758.00003Lobry, Claude 1 1992 Dynamic bifurcations. Zbl 0875.34011Lobry, Claude 9 1991 Formal controllability and physical controllability of linear systems. Zbl 0712.93004Lobry, Claude; Delfini, Pierre 1 1990 La traversée de l’axe imaginaire n’a pas toujours lieu là où l’on croit l’observer. (The traverse through the imaginary axis has not always been where supposed). Zbl 0687.58029Lobry, C.; Wallet, G. 4 1989 Continuity of trajectories of random walks with infinitesimal steps. Zbl 0686.60069Benoit, E.; Candelpergher, B.; Lobry, C. 1 1989 Bifurcation dynamique avec bruit multiplicatif. (Dynamic bifurcation with multiplicative noise). Zbl 0683.58040Benoit, E.; Candelpergher, B.; Lobry, C. 1 1989 Les canards de \(R^ 3\). Zbl 0489.34061Benoit, Eric; Lobry, Claude 9 1982 The complexity of stochastic differential equations. Zbl 0452.60069Krener, Arthur J.; Lobry, Claude 5 1981 Contrôlabilite des systèmes non linéaires. Zbl 0476.93015Lobry, C. 1 1981 Complete contrôlabilite de certains systèmes non linéaires. Zbl 0403.93010Kalitine, B.; Lobry, C. 2 1979 Controllability of non-linear control dynamical systems. Zbl 0356.93007Lobry, C. 2 1976 Critères de gouvernabilite des asservissements non linéaires. Zbl 0353.93014Lobry, C. 1 1976 Erratum: Contrôlabilite des systèmes non linéaires. Zbl 0328.93004Lobry, C. 1 1976 Contrôlabilite bang bang, contrôlabilite différentiable, et perturbation des systèmes non linéaires. Zbl 0316.93007Brunovsky, Pavol; Lobry, Claude 12 1975 Controllability of nonlinear systems on compact manifolds. Zbl 0286.93006Lobry, C. 34 1974 Dynamical polysystems and control theory. Zbl 0279.93012Lobry, C. 13 1973 Une propriété generique des couples de champs de vecteurs. Zbl 0242.58007Lobry, C. 14 1972 Quelques propriétés ’generiques’ des systèmes à commande. Zbl 0246.93017Lobry, C. 2 1972 Une propriété de l’ensemble des états accessibles d’un système guidable. Zbl 0207.15202Lobry, C. 4 1971 Contrôlabilité des systèmes non linéaires. Zbl 0207.15201Lobry, C. 64 1970 Controlabilité de systèmes linéaires par des commandes bang-bang. Zbl 0219.93002Lobry, C. 5 1970 Application d’un résultat de Chow à la théorie du contrôle optimal. Zbl 0192.51603Lobry, Claude 2 1970 all cited Publications top 5 cited Publications all top 5 Cited by 371 Authors 17 Rapaport, Alain 15 Sari, Tewfik 10 Wang, Yuanshi 8 Katz, Mikhail G. 7 Harmand, Jérôme 7 Lobry, Claude 7 Nguyen, Dang Hai 7 Sussmann, Hector J. 6 Agrachev, Andreĭ Aleksandrovich 6 Fekih-Salem, Radhouane 6 Kanovei, Vladimir G. 6 Mazenc, Frédéric 5 Grasse, Kevin A. 5 Hening, Alexandru 5 Jurdjevic, Velimir 4 Bacciotti, Andrea 4 Fliess, Michel 4 Robledo, Gonzalo 4 Strickler, Edouard 4 Wu, Hong 3 Bayen, Térence 3 Benaïm, Michel 3 Błaszczyk, Piotr 3 Bonnard, Bernard 3 DeAngelis, Donald L. 3 Ginoux, Jean-Marc 3 Knobloch, Edgar 3 Kühn, Christian 3 Kunita, Hiroshi 3 Kupka, Ivan A. K. 3 Llibre, Jaume 3 Malisoff, Michael 3 Nowik, Tahl 3 Sarychev, Andrey V. 3 Sherry, David M. 3 Sigalotti, Mario 3 Vakhrameev, S. A. 3 Yin, George Gang 2 Arditi, Roger 2 Augeraud-Véron, Emmanuelle 2 Ayala, Victor 2 Bair, Jacques 2 Barraquand, Jérôme 2 Belhachmi, Zakaria 2 Bendaas, Saida 2 Berglund, Nils 2 Bianchini, Rosa Maria 2 Boudjellaba, Hafida 2 Caponigro, Marco 2 Cloez, Bertrand 2 Crespo, María 2 Drame, Abdou Khadry 2 El Boukhari, Nihale 2 El Hajji, Miled 2 Gaeta, Giuseppe 2 Gentz, Barbara 2 Giunashvili, Z. 2 Haddon, Antoine 2 Hurth, Tobias 2 Join, Cédric 2 Kalouptsidis, Nicholas 2 Katz, Karin Usadi 2 Krechetnikov, Rouslan 2 Li, Xiaoyue 2 Li, Zuxiong 2 López-de-la-Cruz, Javier 2 Madec, Sten 2 Marchenko, Vladimir M. 2 McGaffey, Thomas 2 Mghazli, Zoubida 2 Normand-Cyrot, Dorothée 2 Ouchtout, Salih 2 Puta, Mircea 2 Román-Flores, Heriberto E. 2 Ruiz-Herrera, Alfonso 2 Sallet, Gauthier 2 San Martin, Luiz Antonio Barrera 2 Sari, Nadir 2 Shchepakina, Elena A. 2 Stefani, Gianna 2 Street, Brian 2 Tani, Fatima Zahra 2 Tchizawa, Kiyoyuki 2 Tchoń, Krzysztof 2 Tudoran, Răzvan Micu 2 Van den Berg, Imme Pieter 2 Wang, Hailing 2 Wolkowicz, Gail S. K. 2 Yadi, Karim 2 Zecca, Pasquale 2 Zerrik, El Hassan 1 Abdeljalil, Saghe 1 Abdellatif, Nahla 1 Abdelrahim, Mahmoud 1 Aeyels, Dirk 1 Akhmet, Marat Ubaydulla 1 Alaa, Noureddine 1 Albizuri, J. Uria 1 Altafini, Claudio 1 Amster, Pablo ...and 271 more Authors all top 5 Cited in 115 Serials 13 Systems & Control Letters 11 Journal of Optimization Theory and Applications 10 Journal of Mathematical Biology 10 Journal of Differential Equations 9 Journal of Mathematical Analysis and Applications 9 Automatica 7 Bulletin of Mathematical Biology 7 Journal of Mathematical Sciences (New York) 6 Mathematical Biosciences 6 Mathematical Systems Theory 6 Theoretical Population Biology 5 International Journal of Control 5 Journal of Theoretical Biology 4 Journal of Nonlinear Science 4 Discrete and Continuous Dynamical Systems. Series B 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Computation 3 Acta Applicandae Mathematicae 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Physica D 3 MCSS. Mathematics of Control, Signals, and Systems 3 The Annals of Applied Probability 3 Applied Mathematical Modelling 3 SIAM Journal on Applied Mathematics 3 Journal of Dynamical and Control Systems 3 International Journal of Biomathematics 2 International Journal of Theoretical Physics 2 Annales de l’Institut Fourier 2 Applied Mathematics and Optimization 2 Journal of Soviet Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 Annals of Pure and Applied Logic 2 Probability Theory and Related Fields 2 Mathematical and Computer Modelling 2 Journal of Dynamics and Differential Equations 2 Discrete and Continuous Dynamical Systems 2 European Journal of Control 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Nonlinear Dynamics 2 Matematychni Studiï 2 Foundations of Science 2 Differential Equations 2 Stochastics and Dynamics 2 SIAM Journal on Applied Dynamical Systems 2 Advances in Difference Equations 2 Journal of Biological Dynamics 2 Nonlinear Analysis. Hybrid Systems 2 Nonlinear Analysis. Theory, Methods & Applications 2 Open Mathematics 1 International Journal of General Systems 1 Journal d’Analyse Mathématique 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Physics 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Czechoslovak Mathematical Journal 1 Journal of Applied Probability 1 Mathematics and Computers in Simulation 1 Real Analysis Exchange 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Topology and its Applications 1 Stochastic Analysis and Applications 1 Journal of Complexity 1 Algorithmica 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Computational Mathematics and Modeling 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Journal of Global Optimization 1 Games and Economic Behavior 1 Automation and Remote Control 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Acta Mathematica Sinica. New Series 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Bulletin des Sciences Mathématiques 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 Bernoulli 1 Mathematical Problems in Engineering 1 Mathematical Finance 1 Mathematical and Computer Modelling of Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Real World Applications ...and 15 more Serials all top 5 Cited in 35 Fields 108 Systems theory; control (93-XX) 94 Biology and other natural sciences (92-XX) 79 Ordinary differential equations (34-XX) 40 Dynamical systems and ergodic theory (37-XX) 33 Probability theory and stochastic processes (60-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 18 Partial differential equations (35-XX) 16 Manifolds and cell complexes (57-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Mechanics of particles and systems (70-XX) 10 Differential geometry (53-XX) 9 Mathematical logic and foundations (03-XX) 8 Real functions (26-XX) 5 General and overarching topics; collections (00-XX) 5 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 5 Quantum theory (81-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 History and biography (01-XX) 4 Difference and functional equations (39-XX) 4 General topology (54-XX) 3 Numerical analysis (65-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year