Bernard Bonnard

1.6k total citations
73 papers, 887 citations indexed

About

Bernard Bonnard is a scholar working on Applied Mathematics, Astronomy and Astrophysics and Control and Systems Engineering. According to data from OpenAlex, Bernard Bonnard has authored 73 papers receiving a total of 887 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Applied Mathematics, 17 papers in Astronomy and Astrophysics and 15 papers in Control and Systems Engineering. Recurrent topics in Bernard Bonnard's work include Advanced Differential Geometry Research (13 papers), Geometric Analysis and Curvature Flows (11 papers) and Spacecraft Dynamics and Control (10 papers). Bernard Bonnard is often cited by papers focused on Advanced Differential Geometry Research (13 papers), Geometric Analysis and Curvature Flows (11 papers) and Spacecraft Dynamics and Control (10 papers). Bernard Bonnard collaborates with scholars based in France, United States and Germany. Bernard Bonnard's 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 and has published in prestigious journals such as SHILAP Revista de lepidopterología, IEEE Transactions on Automatic Control and Automatica.

In The Last Decade

Bernard Bonnard

70 papers receiving 797 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Bernard Bonnard France 17 173 172 168 152 146 73 887
Mario Sigalotti France 19 171 1.0× 419 2.4× 35 0.2× 73 0.5× 192 1.3× 92 914
Ivan Kupka France 17 179 1.0× 607 3.5× 87 0.5× 76 0.5× 39 0.3× 48 1.2k
Fangqi Chen China 18 93 0.5× 258 1.5× 67 0.4× 23 0.2× 116 0.8× 128 1.1k
Richard Cushman Netherlands 24 95 0.5× 190 1.1× 101 0.6× 268 1.8× 371 2.5× 73 1.7k
Mark Levi United States 20 106 0.6× 324 1.9× 48 0.3× 60 0.4× 143 1.0× 62 1.2k
W. Sarlet Belgium 23 149 0.9× 282 1.6× 28 0.2× 363 2.4× 214 1.5× 98 1.6k
Chris Doran United Kingdom 18 598 3.5× 69 0.4× 38 0.2× 522 3.4× 364 2.5× 37 1.5k
Garret Sobczyk Mexico 10 712 4.1× 70 0.4× 23 0.1× 129 0.8× 148 1.0× 25 1.1k
Ugo Boscain France 22 448 2.6× 264 1.5× 31 0.2× 207 1.4× 915 6.3× 97 2.0k
Gert Vegter Netherlands 22 42 0.2× 51 0.3× 81 0.5× 154 1.0× 35 0.2× 65 1.3k

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-authorship network of co-authors of Bernard Bonnard

This figure shows the co-authorship network connecting the top 25 collaborators of Bernard Bonnard. A scholar is included among the top collaborators of Bernard Bonnard based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Bernard Bonnard. Bernard Bonnard is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Bonnard, Bernard, et al.. (2024). Geometric optimal control of the generalized Lotka–Volterra model of the intestinal microbiome. Optimal Control Applications and Methods. 45(2). 544–574. 1 indexed citations
2.
Bonnard, Bernard, et al.. (2022). Accessibility properties of abnormal geodesics in optimal control illustrated by two case studies. Mathematical Control and Related Fields. 13(4). 1618–1638. 1 indexed citations
3.
Bonnard, Bernard, et al.. (2020). Geometric optimal techniques to control the muscular force response to functional electrical stimulation using a non-isometric force-fatigue model. The Journal of Geometric Mechanics. 13(1). 1–23. 3 indexed citations
4.
Bakir, Toufik, et al.. (2019). A case study of optimal input-output system with sampled-data control: Ding et al. force and fatigue muscular control model. Networks and Heterogeneous Media. 14(1). 79–100. 4 indexed citations
5.
Bonnard, Bernard, et al.. (2018). Sub-Riemannian geometry, Hamiltonian dynamics, micro-swimmers, copepod nauplii and copepod robot. SHILAP Revista de lepidopterología. 10(1). 5 indexed citations
6.
Bonnard, Bernard, et al.. (2014). Geometric and Numerical Methods in the Contrast Imaging Problem in Nuclear Magnetic Resonance. Acta Applicandae Mathematicae. 135(1). 5–45. 14 indexed citations
7.
Bonnard, Bernard, et al.. (2013). The Serret-Andoyer Riemannian metric and Euler-Poinsot rigid body motion. Mathematical Control and Related Fields. 3(3). 287–302. 6 indexed citations
8.
Bonnard, Bernard, et al.. (2013). Algebraic geometric classification of the singular flow in the contrast imaging problem in nuclear magnetic resonance. Mathematical Control and Related Fields. 3(4). 397–432. 4 indexed citations
9.
Bonnard, Bernard, Jean‐Baptiste Caillau, & Ludovic Rifford. (2010). Convexity of injectivity domains on the ellipsoid of revolution: The oblate case. Comptes Rendus Mathématique. 348(23-24). 1315–1318. 2 indexed citations
10.
Sinclair, Robert, et al.. (2008). 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. 26(4). 1081–1098. 29 indexed citations
11.
Bonnard, Bernard, et al.. (2006). Averaging and optimal control of elliptic Keplerian orbits with low propulsion. Systems & Control Letters. 55(9). 755–760. 11 indexed citations
12.
Bonnard, Bernard & Emmanuel Trélat. (2002). Une approche géométrique du contrôle optimal de l'arcatmosphérique de la navette spatiale. Springer Link (Chiba Institute of Technology). 10 indexed citations
13.
Bonnard, Bernard, et al.. (2002). Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications. WORLD SCIENTIFIC eBooks. 8 indexed citations
14.
Trélat, Emmanuel, Bernard Bonnard, & Guillaume Launay. (2001). The Transcendence Needed to Compute the Sphere and the Wave Front in Martinet SR-Geometry. Journal of Mathematical Sciences. 103(6). 686–708. 3 indexed citations
15.
Bonnard, Bernard & Ivan Kupka. (1997). Generic properties of singular trajectories. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 14(2). 167–186. 19 indexed citations
16.
Agrachev, Andrei, Bernard Bonnard, Monique Chyba, & Ivan Kupka. (1997). Sub-Riemannian sphere in Martinet flat case. ESAIM Control Optimisation and Calculus of Variations. 2. 377–448. 69 indexed citations
17.
Bonnard, Bernard. (1991). Analysis of controlled dynamical systems : proceedings of a conference held in Lyon, France, July 1990. Birkhäuser eBooks. 1 indexed citations
18.
Bonnard, Bernard. (1991). Quadratic control systems. Mathematics of Control Signals and Systems. 4(2). 139–160. 17 indexed citations
19.
Bonnard, Bernard, Velimir Jurdjevic, Ivan Kupka, & Gauthier Sallet. (1982). Transitivity of families of invariant vector fields on the semidirect products of Lie groups. Transactions of the American Mathematical Society. 271(2). 525–535. 33 indexed citations
20.
Bonnard, Bernard. (1978). Couples de générateurs de certaines sous-algèbres de Lie de l'algèbre de Lie symplectique affine, et applications. French digital mathematics library (Numdam). 15(4). 1–36. 1 indexed citations

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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