[Research Themes | Publications | Teaching | CV | Conferences]
Agrégé et Docteur en Mathématiques
Position actuelle: PRAG (Lecturer)
UFR DEG et Institut Denis Poisson CNRS UMR 7013 (membre associé)
Contact
Bureau : B113 (UFR DEG)
Email : prénom.nom[at]univ-orleans.fr
Adresse postale
Faculté de Droit, d’Economie et de Gestion
11 rue de Blois
45067
Orléans Cedex 2
Research Themes:
- Nonlinear Dynamical Systems for Complex Networks
- Keywords: Dynamical systems, Synchronization, Chaos (topological entropy), Normally Hyperbolic Invariant Manifolds, Spectral Graph Theory, ODEs, Delay Differential Equations, Semi-Flows, Attractors, Infinite Dimensional Dynamical Systems
- Other keywords: Complex Networks, Collective Behaviors
Welcome to my web page…!
My activities focus on the dynamics of complex networks, using tools from dynamical systems theory.
I am investigating more particularly the effects of perturbations on the dynamics of networks, whether those perturbations are induced by a change of the structure itself, or induced by a delay (and more recently by a noise).
Publications
- Self-induced synchronization by large delay
Camille Poignard
Journal of Differential Equations (2022) Volume 310, 15 February 2022, Pages 555-601
https://doi.org/10.1016/j.jde.2021.10.013 - Dead zones and phase reduction of coupled oscillators
Peter Ashwin, Christian Bick and Camille Poignard
Chaos: an interdisciplinary Journal of Nonlinear Science (2021) Vol. 31, Iss. 9
https://doi.org/10.1063/5.0063423 - State-dependent effective interactions in oscillator networks through coupling functions with dead zones
Peter Ashwin, Christian Bick and Camille Poignard
Phil. Trans. R. Soc. A (2019) Vol. 377, Iss. 2160
http://dx.doi.org/10.1098/rsta.2019.0042 - The effects of structural perturbations on the synchronizability of diffusive networks
Camille Poignard, Jean Philipp Pade, and Tiago Pereira
Journal of Nonlinear Science (2019), Vol. 29, pages 1919–1942
https://doi.org/10.1007/s00332-019-09534-7 - A stability result for periodic solutions of some nonmonotonic smooth negative feedback systems
Camille Poignard, Madalena Chavez, Jean-Luc Gouzé
SIAM Journal on Applied Dynamical Systems, SIADS (2018), Vol. 17, Iss. 2, pages 1091-1116
https://doi.org/10.1137/17M1141205 - Spectra of Laplacian matrices of weigthed graphs : structural genericity properties.
Camille Poignard, Tiago Pereira, and Jan-Philipp Pade
SIAM Journal on Applied Mathematics, SIAP (2018), Vol. 78, Iss. 1, pages 372-394
https://doi.org/10.1137/17M1124474 - Periodic oscillations for non monotonic smooth negative feedback circuits
Camille Poignard, Madalena Chavez, Jean-Luc Gouzé
SIAM Journal on Applied Dynamical Systems, SIADS (2016), Vol. 15, Iss. 1, pages 257-286
https://doi.org/10.1137/15M1033368 - Discrete synchronization of massively connected systems using hierarchical couplings.
Camille Poignard
Physica D : Nonlinear Phenomena (2016), Vol. 320, pages 19-37
https://doi.org/10.1016/j.physd.2015.12.001 - Inducing chaos in a gene regulatory network by coupling an oscillating system with a hysteresis-type dynamics
Camille Poignard
Journal of Mathematical Biology (2014), Vol. 69, pages 335–368
https://doi.org/10.1007/s00285-013-0703-5
Other Publications:
- Oscillations for non monotonic negative feedback genes networks.
Camille Poignard, Madalena Chavez, Jean-Luc Gouzé
European Conference on Mathematical and Theoretical Biology, ECMTB 2016, (2016) - On the Synchronization and Desynchronization of Dynamical Systems. Applications.
Camille Poignard
PhD thesis. University of Nice-Sophia Antipolis (2013)
Teaching (2023-2024):
- Statistics 3 with Python (Lectures and tutorials, Year 2, Economics and Law, in charge of the course)
Syllabus: Getting started with Python (variables, types, lists), Python packages for Statistics (numpy, matplotlib, scipy, pandas), functions and control flow tools, Linear regression with sklearn - Introduction to Python (Tutorials, Year 2, Economics)
- Linear Algebra (Lectures and tutorials, Year 2, Economics, in charge of the course)
Syllabus: vector space Rn, linear independence, dimension, bases of subspaces, change of basis, scalar product, orthonormal bases, orthogonal complement, linear maps, kernels and ranges, changes of basis for linear maps, eigenvalues, characteristic polynomials, diagonalization
Other courses (2021-2023):
- Quantitative methods: analysis (Lectures and tutorials, Year 1, Economics and Management)
- Quantitative Techniques (Lectures and tutorials, Year 2, Economics-European pathway, in English)
Syllabus: antiderivatives, fundamental theorem of analysis, Euclidean division, Substitution, By parts integration formula, definite and indefinite integrals, Taylor expansions, function composition, substitutions and Taylor expansions
Curriculum Vitae:
- December 2020 – : PRAG (at the University of Orléans since Fall 2021)
- September 2013 – November 2020 : Postdoctoral researcher
- September 2009 – August 2013 : PhD Thesis. Advisor : Jean-Marc Gambaudo
Title: On the synchronization and desynchronisation of dynamical systems. Applications.
University of Nice-Sophia Antipolis
Next Conferences:
- Dynamic Days Bremen 2024