Sootla, A., & Mauroy, A. (2018). Operator-Theoretic Characterization of Eventually Monotone Systems. IEEE Control Systems Letters, 2 (3), 429-434. doi:10.1109/LCSYS.2018.2841654 Peer reviewed |
Sootla, A., & Mauroy, A. (July 2016). On (Eventually) Monotone Dynamical Systems and Positive Koopman Semigroups [Paper presentation]. 22nd International Symposium on Mathematical Theory of Networks and Systems, Minneapolis, MN, United States. |
Mauroy, A. (July 2015). Global stability analysis for nonlinear systems using the eigenfunctions of the Koopman operator / Neuroscience applications: isochrons and isostables [Paper presentation]. Workshop at the 14th European Control Conference (2 invited talks), Linz, Austria. |
Mauroy, A., & Mezic, I. (May 2015). Computation of the Koopman eigenfunctions is a systematic method for global stability analysis [Paper presentation]. SIAM Conference on Applications of Dynamical Systems (invited talk), Salt Lake City, United States. |
Mauroy, A., & Mezic, I. (2015). Extreme phase sensitivity in systems with fractal isochrons. Physica D. Nonlinear Phenomena, 308, 40-51. doi:10.1016/j.physd.2015.06.004 Peer Reviewed verified by ORBi |
Mauroy, A. (2014). Converging to and escaping from the global equilibrium: Isostables and optimal control. In Proceedings of the 53rd IEEE Conference on Decision and Control. Peer reviewed |
Mauroy, A., Rhoads, B., Moehlis, J., & Mezic, I. (March 2014). Global Isochrons and Phase Sensitivity of Bursting Neurons. SIAM Journal on Applied Dynamical Systems, 13 (1), 306-338. doi:10.1137/130931151 Peer Reviewed verified by ORBi |
Mauroy, A., & Mezic, I. (2014). Spectral operator-theoretic description of nonlinear systems: a systematic approach to global stability analysis [Poster presentation]. IAP DYSCO day, Namur, Belgium. |
Mauroy, A., & Mezic, I. (2013). A spectral operator-theoretic framework for global stability. Proceedings of the IEEE Conference on Decision and Control, 5234-5239. doi:10.1109/CDC.2013.6760712 Peer reviewed |
Mauroy, A., Mezić, I., & Moehlis, J. (2013). Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics. Physica D. Nonlinear Phenomena, 261, 19-30. doi:10.1016/j.physd.2013.06.004 Peer Reviewed verified by ORBi |
Mauroy, A., & Mezic, I. (2013). Isochrons and isostables of dynamical systems: Relationship to Koopman operator spectrum [Paper presentation]. SIAM Conference on Applications of Dynamical Systems (invited talk), Salt Lake City, United States. |
Mauroy, A., & Sepulchre, R. (2013). Global analysis of a continuum model for monotone pulse-coupled oscillators. IEEE Transactions on Automatic Control, 58 (5), 1154-1166. doi:10.1109/TAC.2012.2229811 Peer Reviewed verified by ORBi |
Mauroy, A., Sacré, P., & Sepulchre, R. (2012). Kick synchronization versus diffusive synchronization. In Proceedings of the 51st IEEE Conference on Decision and Control (invited tutorial session) (pp. 7171-7183). doi:10.1109/CDC.2012.6425821 Peer reviewed |
Mauroy, A., & Mezić, I. (2012). On the use of Fourier averages to compute the global isochrons of (quasi)periodic dynamics. Chaos, 22 (3). doi:10.1063/1.4736859 Peer Reviewed verified by ORBi |
Mauroy, A., & Sepulchre, R. (2012). Contraction of monotone phase-coupled oscillators. Systems and Control Letters, 61 (11), 1097-1102. doi:10.1016/j.sysconle.2012.08.007 Peer Reviewed verified by ORBi |
Mauroy, A. (2011). On the dichotomic collective behaviors of large populations of pulse-coupled firing oscillators [Doctoral thesis, ULiège - Université de Liège]. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/99708 |
Mauroy, A., & Sepulchre, R. (2011). Existence and stability of a dichotomic behavior in infinite populations of pulse-coupled oscillators [Paper presentation]. 30th Benelux Meeting on Systems and Control, Lommel, Belgium. |
Mauroy, A., & Sepulchre, R. (2011). Local stability results for the collective behaviors of infinite populations of pulse-coupled oscillators. Proceedings of the IEEE Conference on Decision and Control, 6754-6759. doi:10.1109/CDC.2011.6160621 Peer reviewed |
Mauroy, A., & Sepulchre, R. (2011). A transport equation for pulse-coupled phase oscillators and a Lyapunov function for its global analysis [Paper presentation]. SIAM Conference on Applications of Dynamical Systems, Salt Lake City, United States. |
Mauroy, A., & Sepulchre, R. (2011). Existence and stability of a dichotomic behavior in infinite populations of pulse-coupled oscillators [Poster presentation]. ICMS Workshop on Stabilization of Dynamical Systems and Processes (invited), Edimbourg, United Kingdom. |
Mauroy, A., Hendrickx, J., Megretski, A., & Sepulchre, R. (2010). Global Analysis of Firing Maps. In Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (pp. 1775-1782). Peer reviewed |
Mauroy, A., & Sepulchre, R. (2010). Global analysis of pulse-coupled oscillators: discrete and continuous models [Paper presentation]. 29th Benelux Meeting on Systems and Control, Heeze, Netherlands. |
Mauroy, A., & Sepulchre, R. (December 2009). Erratum: “Clustering behaviors in networks of integrate-and-fire oscillators” [Chaos 18, 037122 (2008)]. Chaos, 19, 049902. doi:10.1063/1.3273035 Peer Reviewed verified by ORBi |
Mauroy, A., & Sepulchre, R. (2009). Clustering behaviors in networks of pulse-coupled integrate-and-fire oscillators [Paper presentation]. SIAM Conference on Applications of Dynamical Systems, Salt Lake City, United States. |
Mauroy, A., & Sepulchre, R. (2009). Recent advances and open questions on Peskin model for coupled oscillators [Paper presentation]. 28th Benelux Meeting on Systems and Control, Spa, Belgium. |
Mauroy, A., & Sepulchre, R. (September 2008). Clustering behaviors in networks of integrate-and-fire oscillators. Chaos, 18, 037122. doi:10.1063/1.2967806 Peer Reviewed verified by ORBi |
Mauroy, A., & Sepulchre, R. (2008). Clustering behaviours in networks of integrate-and-fire oscillators [Poster presentation]. IAP Dysco day, Belgium. |
Mauroy, A., & Sepulchre, R. (2008). Dynamical phenomena in pulse-coupled networks of firing integrators [Paper presentation]. 27th Benelux Meeting on Systems and Control, Heeze, Netherlands. |
Mauroy, A., & Sepulchre, R. (2008). Synchronization and clustering behaviors in networks of integrate-and-fire oscillators [Poster presentation]. 28th Dynamics Days Europe, Delft, Netherlands. |
Mauroy, A. (2007). Phénomènes dynamiques de synchronisation par couplage impulsif [Master’s dissertation, ULiège - Université de Liège]. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/4895 |