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Lobry, Claude

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Author ID: lobry.claude Recent zbMATH articles by "Lobry, Claude"
Published as: Lobry, C.; Lobry, Claude
Documents Indexed: 57 Publications since 1970, including 3 Books

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 347 times in 262 Documents Cited by Year
Contrôlabilité des systèmes non linéaires. Zbl 0207.15201
Lobry, C.
64
1970
Controllability of nonlinear systems on compact manifolds. Zbl 0286.93006
Lobry, C.
34
1974
Lotka-Volterra with randomly fluctuating environments or “how switching between beneficial environments can make survival harder”. Zbl 1358.92075
Benaïm, Michel; Lobry, Claude
22
2016
The chemostat. Mathematical theory of microorganism cultures. Zbl 1384.92001
Harmand, 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 1343.92389
Arditi, Roger; Lobry, Claude; Sari, Tewfik
19
2015
Une propriété generique des couples de champs de vecteurs. Zbl 0242.58007
Lobry, C.
14
1972
Persistence in ecological models of competition for a single resource. Zbl 1073.34054
Lobry, Claude; Mazenc, Frédéric; Rapaport, Alain
13
2005
Dynamical polysystems and control theory. Zbl 0279.93012
Lobry, C.
13
1973
Extensions of the chemostat model with flocculation. Zbl 1275.92014
Fekih-Salem, R.; Harmand, J.; Lobry, C.; Rapaport, A.; Sari, T.
12
2013
Contrôlabilite bang bang, contrôlabilite différentiable, et perturbation des systèmes non linéaires. Zbl 0316.93007
Brunovsky, Pavol; Lobry, Claude
12
1975
Approaches to analysis with infinitesimals following Robinson, Nelson, and others. Zbl 1435.03094
Fletcher, 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 0897.34052
Lobry, Claude; Sari, Tewfik; Touhami, Sefiane
11
1998
Asymmetric dispersal in the multi-patch logistic equation. Zbl 1397.92555
Arditi, Roger; Lobry, Claude; Sari, Tewfik
9
2018
Effect on persistence of intra-specific competition in competition models. Zbl 1133.92028
Lobry, Claude; Mazenc, Frederic
9
2007
Dynamic bifurcations. Zbl 0875.34011
Lobry, Claude
9
1991
Les canards de \(R^ 3\). Zbl 0489.34061
Benoit, Eric; Lobry, Claude
9
1982
A density-dependent model of competition for one resource in the chemostat. Zbl 1366.92074
Fekih-Salem, Radhouane; Lobry, Claude; Sari, Tewfik
7
2017
Non-standard analysis and representation of reality. Zbl 1152.94332
Lobry, C.; Sari, T.
7
2008
Singular perturbations methods in control theory. Zbl 1231.34099
Lobry, Claude; Sari, Tewfik
6
2005
Association between competition and obligate mutualism in a chemostat. Zbl 1315.92059
El Hajji, Miled; Harmand, Jérôme; Chaker, Hédia; Lobry, Claude
5
2009
The complexity of stochastic differential equations. Zbl 0452.60069
Krener, Arthur J.; Lobry, Claude
5
1981
Controlabilité de systèmes linéaires par des commandes bang-bang. Zbl 0219.93002
Lobry, 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 0687.58029
Lobry, C.; Wallet, G.
4
1989
Une propriété de l’ensemble des états accessibles d’un système guidable. Zbl 0207.15202
Lobry, C.
4
1971
Multiple steady state profiles in interconnected biological systems. Zbl 1126.92047
Dramé, A. K.; Harmand, J.; Rapaport, A.; Lobry, C.
3
2006
Complete contrôlabilite de certains systèmes non linéaires. Zbl 0403.93010
Kalitine, B.; Lobry, C.
2
1979
Controllability of non-linear control dynamical systems. Zbl 0356.93007
Lobry, C.
2
1976
Quelques propriétés ’generiques’ des systèmes à commande. Zbl 0246.93017
Lobry, C.
2
1972
Application d’un résultat de Chow à la théorie du contrôle optimal. Zbl 0192.51603
Lobry, Claude
2
1970
Coexistence of three predators competing for a single biotic resource. Zbl 1402.92352
Lobry, Claude; Sari, Tewfik; Yadi, Karim
1
2011
Multiple stable equilibrium profiles in tubular bioreactors. Zbl 1187.34027
Dramé, A. K.; Lobry, C.; Harmand, J.; Rapaport, A.; Mazenc, F.
1
2008
Stability analysis of an ecological model. Zbl 1110.92052
Mazenc, F.; Lobry, C.; Rapaport, A.
1
2006
Control theory and environmental problems: Slow fast models for management of renewable ressources. Zbl 0800.92152
Lobry, C.
1
1992
A propos du sens des textes mathématiques un exemple: La théorie des ”bifurcations dynamiques”. Zbl 0758.00003
Lobry, Claude
1
1992
Formal controllability and physical controllability of linear systems. Zbl 0712.93004
Lobry, Claude; Delfini, Pierre
1
1990
Continuity of trajectories of random walks with infinitesimal steps. Zbl 0686.60069
Benoit, E.; Candelpergher, B.; Lobry, C.
1
1989
Bifurcation dynamique avec bruit multiplicatif. (Dynamic bifurcation with multiplicative noise). Zbl 0683.58040
Benoit, E.; Candelpergher, B.; Lobry, C.
1
1989
Contrôlabilite des systèmes non linéaires. Zbl 0476.93015
Lobry, C.
1
1981
Critères de gouvernabilite des asservissements non linéaires. Zbl 0353.93014
Lobry, C.
1
1976
Erratum: Contrôlabilite des systèmes non linéaires. Zbl 0328.93004
Lobry, C.
1
1976
Asymmetric dispersal in the multi-patch logistic equation. Zbl 1397.92555
Arditi, Roger; Lobry, Claude; Sari, Tewfik
9
2018
The chemostat. Mathematical theory of microorganism cultures. Zbl 1384.92001
Harmand, Jérôme; Lobry, Claude; Rapaport, Alain; Sari, Tewfik
21
2017
Approaches to analysis with infinitesimals following Robinson, Nelson, and others. Zbl 1435.03094
Fletcher, 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 1366.92074
Fekih-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 1358.92075
Benaïm, Michel; Lobry, Claude
22
2016
Is dispersal always beneficial to carrying capacity? New insights from the multi-patch logistic equation. Zbl 1343.92389
Arditi, Roger; Lobry, Claude; Sari, Tewfik
19
2015
Extensions of the chemostat model with flocculation. Zbl 1275.92014
Fekih-Salem, R.; Harmand, J.; Lobry, C.; Rapaport, A.; Sari, T.
12
2013
Coexistence of three predators competing for a single biotic resource. Zbl 1402.92352
Lobry, Claude; Sari, Tewfik; Yadi, Karim
1
2011
Association between competition and obligate mutualism in a chemostat. Zbl 1315.92059
El Hajji, Miled; Harmand, Jérôme; Chaker, Hédia; Lobry, Claude
5
2009
Non-standard analysis and representation of reality. Zbl 1152.94332
Lobry, C.; Sari, T.
7
2008
Multiple stable equilibrium profiles in tubular bioreactors. Zbl 1187.34027
Dramé, A. K.; Lobry, C.; Harmand, J.; Rapaport, A.; Mazenc, F.
1
2008
Effect on persistence of intra-specific competition in competition models. Zbl 1133.92028
Lobry, Claude; Mazenc, Frederic
9
2007
Multiple steady state profiles in interconnected biological systems. Zbl 1126.92047
Dramé, A. K.; Harmand, J.; Rapaport, A.; Lobry, C.
3
2006
Stability analysis of an ecological model. Zbl 1110.92052
Mazenc, F.; Lobry, C.; Rapaport, A.
1
2006
Persistence in ecological models of competition for a single resource. Zbl 1073.34054
Lobry, Claude; Mazenc, Frédéric; Rapaport, Alain
13
2005
Singular perturbations methods in control theory. Zbl 1231.34099
Lobry, Claude; Sari, Tewfik
6
2005
On Tykhonov’s theorem for convergence of solutions of slow and fast systems. Zbl 0897.34052
Lobry, Claude; Sari, Tewfik; Touhami, Sefiane
11
1998
Control theory and environmental problems: Slow fast models for management of renewable ressources. Zbl 0800.92152
Lobry, C.
1
1992
A propos du sens des textes mathématiques un exemple: La théorie des ”bifurcations dynamiques”. Zbl 0758.00003
Lobry, Claude
1
1992
Dynamic bifurcations. Zbl 0875.34011
Lobry, Claude
9
1991
Formal controllability and physical controllability of linear systems. Zbl 0712.93004
Lobry, 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 0687.58029
Lobry, C.; Wallet, G.
4
1989
Continuity of trajectories of random walks with infinitesimal steps. Zbl 0686.60069
Benoit, E.; Candelpergher, B.; Lobry, C.
1
1989
Bifurcation dynamique avec bruit multiplicatif. (Dynamic bifurcation with multiplicative noise). Zbl 0683.58040
Benoit, E.; Candelpergher, B.; Lobry, C.
1
1989
Les canards de \(R^ 3\). Zbl 0489.34061
Benoit, Eric; Lobry, Claude
9
1982
The complexity of stochastic differential equations. Zbl 0452.60069
Krener, Arthur J.; Lobry, Claude
5
1981
Contrôlabilite des systèmes non linéaires. Zbl 0476.93015
Lobry, C.
1
1981
Complete contrôlabilite de certains systèmes non linéaires. Zbl 0403.93010
Kalitine, B.; Lobry, C.
2
1979
Controllability of non-linear control dynamical systems. Zbl 0356.93007
Lobry, C.
2
1976
Critères de gouvernabilite des asservissements non linéaires. Zbl 0353.93014
Lobry, C.
1
1976
Erratum: Contrôlabilite des systèmes non linéaires. Zbl 0328.93004
Lobry, C.
1
1976
Contrôlabilite bang bang, contrôlabilite différentiable, et perturbation des systèmes non linéaires. Zbl 0316.93007
Brunovsky, Pavol; Lobry, Claude
12
1975
Controllability of nonlinear systems on compact manifolds. Zbl 0286.93006
Lobry, C.
34
1974
Dynamical polysystems and control theory. Zbl 0279.93012
Lobry, C.
13
1973
Une propriété generique des couples de champs de vecteurs. Zbl 0242.58007
Lobry, C.
14
1972
Quelques propriétés ’generiques’ des systèmes à commande. Zbl 0246.93017
Lobry, C.
2
1972
Une propriété de l’ensemble des états accessibles d’un système guidable. Zbl 0207.15202
Lobry, C.
4
1971
Contrôlabilité des systèmes non linéaires. Zbl 0207.15201
Lobry, C.
64
1970
Controlabilité de systèmes linéaires par des commandes bang-bang. Zbl 0219.93002
Lobry, C.
5
1970
Application d’un résultat de Chow à la théorie du contrôle optimal. Zbl 0192.51603
Lobry, Claude
2
1970
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