Bernard Bonnard

1.6k citations

73 papers · 887 indexed · h-index 17

Impact in

Applied Mathematics top 5%
- Geometric Analysis and Curvature Flows
Geometry and Topology top 5%

Papers in ⓘ

Applied Mathematics 19
- Geometric Analysis and Curvature Flows 11
Geometry and Topology 12

Co-authors: Emmanuel Trélat (7 shared papers)Ivan Kupka (4 shared papers)Jean‐Baptiste Caillau (8 shared papers)Monique Chyba (9 shared papers)D. Sugny (5 shared papers)Andrei Agrachev (1 shared paper)Guillaume Launay (4 shared papers)Steffen J. Glaser (3 shared papers)
Journals: ESAIM Control Optimisation and Calculus of Variations (8 papers)SIAM Journal on Control and Optimization (7 papers)Annales de l Institut Henri Poincaré C Analyse Non Linéaire (4 papers)Mathematical Control and Related Fields (4 papers)Journal of Dynamical and Control Systems (3 papers)
Partner nations: France United States Germany

In The Last Decade

Bernard Bonnard

70 papers receiving 797 citations

Peers

Countries citing papers authored by Bernard Bonnard

Since Specialization

Citations

This map shows the geographic impact of Bernard Bonnard's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Bernard Bonnard with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Bernard Bonnard more than expected).

Fields of papers citing papers by Bernard Bonnard

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Bernard Bonnard. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Bernard Bonnard. The network helps show where Bernard Bonnard may publish in the future.

Co-authors

The 25 scholars most cited alongside Bernard Bonnard, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Bernard Bonnard Line = papers co-authored together Bernard Bonnard links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

Showing the 20 most-cited of 73 papers — load more, or switch the sort, to bring in the rest.

#	Work
1	Sub-Riemannian sphere in Martinet flat case ESAIM Control Optimisation and Calculus of Variations ·Andrei Agrachev, Bernard Bonnard, Monique Chyba, Ivan Kupka	1997	69
2	Second order optimality conditions in the smooth case and applications in optimal control ESAIM Control Optimisation and Calculus of Variations ·Bernard Bonnard, Jean‐Baptiste Caillau, Emmanuel Trélat	2007	59
3	Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Generic Case IEEE Transactions on Automatic Control ·Bernard Bonnard, M. Chyba, D. Sugny	2009	57
4	Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Integrable Case SIAM Journal on Control and Optimization ·Bernard Bonnard, Dominique Sugny	2009	44
5	Théorie des singularités de l'application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal Forum Mathematicum ·Bernard Bonnard, Ivan Kupka	1993	39
6	Optimal Control with State Constraints and the Space Shuttle Re-entry Problem Journal of Dynamical and Control Systems ·Bernard Bonnard, Ludovic Faubourg, Guillaume Launay, Emmanuel Trélat	2003	38
7	Transitivity of families of invariant vector fields on the semidirect products of Lie groups Transactions of the American Mathematical Society ·Bernard Bonnard, Velimir Jurdjevic, Ivan Kupka, Gauthier Sallet	1982	33
8	Geometric Optimal Control of the Contrast Imaging Problem in Nuclear Magnetic Resonance IEEE Transactions on Automatic Control ·Bernard Bonnard, Olivier Cots, Steffen J. Glaser, M. Lapert, D. Sugny, Yun Zhang	2012	33
9	Feedback Equivalence for Nonlinear Systems and the Time Optimal Control Problem SIAM Journal on Control and Optimization ·Bernard Bonnard	1991	32
10	Conjugate and cut loci of a two-sphere of revolution with application to optimal control Annales de l Institut Henri Poincaré C Analyse Non Linéaire ·Robert Sinclair, Minoru Tanaka, Bernard Bonnard, Jean-Baptiste Caillau	2008	29
11	Mécanique céleste et contrôle des véhicules spatiaux CERN Document Server (European Organization for Nuclear Research) ·Bernard Bonnard, Ludovic Faubourg, Emmanuel Trélat	2006	26
12	Optimal control with applications in space and quantum dynamics Medical Entomology and Zoology ·Bernard Bonnard, D. Sugny	2012	23
13	Generic properties of singular trajectories Annales de l Institut Henri Poincaré C Analyse Non Linéaire ·Bernard Bonnard, Ivan Kupka	1997	19
14	Toward a Geometric Theory in the Time-Minimal Control of Chemical Batch Reactors SIAM Journal on Control and Optimization ·Bernard Bonnard, J. de Morant	1995	18
15	Quadratic control systems Mathematics of Control Signals and Systems ·Bernard Bonnard	1991	17
16	A Review of Geometric Optimal Control for Quantum Systems in Nuclear Magnetic Resonance SHILAP Revista de lepidopterología ·Bernard Bonnard, Steffen J. Glaser, D. Sugny	2012	17
17	Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust Annales de l Institut Henri Poincaré C Analyse Non Linéaire ·Jean‐Baptiste Caillau, Bernard Bonnard	2006	17
18	On Singular Extremals in the Time Minimal Control Problem in $\mathbb{R}^3 $ SIAM Journal on Control and Optimization ·Bernard Bonnard	1985	16
19	The energy minimization problem for two-level dissipative quantum systems Journal of Mathematical Physics ·Bernard Bonnard, Olivier Cots, Nataliya Shcherbakova, D. Sugny	2010	16
20	OPTIMAL CONTROL OF THE ATMOSPHERIC ARC OF A SPACE SHUTTLE AND NUMERICAL SIMULATIONS WITH MULTIPLE-SHOOTING METHOD Mathematical Models and Methods in Applied Sciences ·Bernard Bonnard, Ludovic Faubourg, Emmanuel Trélat	2004	15

About Bernard Bonnard

Bernard Bonnard is a scholar working on Applied Mathematics, Geometry and Topology, Mathematical Physics, Astronomy and Astrophysics and Statistical and Nonlinear Physics, having authored 73 papers that have together received 887 indexed citations. Recurring topics across this work include Advanced Differential Geometry Research (13 papers), Geometric Analysis and Curvature Flows (11 papers), Spacecraft Dynamics and Control (10 papers), Quantum chaos and dynamical systems (8 papers), Advanced NMR Techniques and Applications (7 papers), Advanced MRI Techniques and Applications (6 papers), Micro and Nano Robotics (6 papers) and Aerospace Engineering and Control Systems (6 papers). The work is most often cited by research in Applied Mathematics (173 citations), Geometry and Topology (124 citations), Statistical and Nonlinear Physics (138 citations), Numerical Analysis (58 citations) and Mathematical Physics (86 citations). Bernard Bonnard has collaborated with scholars based in France, United States and Germany. Frequent co-authors include Emmanuel Trélat, Ivan Kupka, Jean‐Baptiste Caillau, Monique Chyba, D. Sugny, Andrei Agrachev, Guillaume Launay, Steffen J. Glaser, Velimir Jurdjevic and Gauthier Sallet. Their work appears in journals such as ESAIM Control Optimisation and Calculus of Variations, SIAM Journal on Control and Optimization, Annales de l Institut Henri Poincaré C Analyse Non Linéaire, Mathematical Control and Related Fields and Journal of Dynamical and Control Systems.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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