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Mauroy Alexandre

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Main Referenced Co-authors
Sepulchre, Rodolphe  (16)
Mezic, Igor (6)
Mezić, Igor (2)
Moehlis, Jeff (2)
Hendrickx, Julien (1)
Main Referenced Keywords
Koopman operator (5); Synchronization (3); Asymptotic behaviors (2); Continuum mechanics (2); Isochrons (2);
Main Referenced Disciplines
Engineering, computing & technology: Multidisciplinary, general & others (22)
Mathematics (12)
Physical, chemical, mathematical & earth Sciences: Multidisciplinary, general & others (3)
Electrical & electronics engineering (2)

Publications (total 30)

The most downloaded
635 downloads
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 https://hdl.handle.net/2268/165075

The most cited

139 citations (Scopus®)

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 https://hdl.handle.net/2268/165074

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., & 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., 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., 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). 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., & 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., 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). 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). Clustering behaviours in networks of integrate-and-fire oscillators [Poster presentation]. IAP Dysco day, Belgium.

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

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