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Research Output 2008 2019

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2018
6 Downloads (Pure)

Global computation of phase-amplitude reduction for limit-cycle dynamics

Mauroy, A. & Mezić, I., 1 Jul 2018, In : Chaos: an interdisciplinary journal of nonlinear science. 28, 7, 23 p., 073108.

Research output: Contribution to journalArticle

File
Limit Cycle
cycles
Eigenvalues and eigenfunctions
Laplace transformation
Harmonic Balance
20 Downloads (Pure)

Koopman-based lifting techniques for nonlinear systems identification

Mauroy, A. & Goncalves, J., 2018, (Submitted) In : IEEE Transactions on Automatic Control. 16 p.

Research output: Contribution to journalArticle

File
Nonlinear systems
Identification (control systems)
Sampling
Derivatives

Operator-theoretic characterization of eventually monotone systems

Sootla, A. & Mauroy, A., 1 Jul 2018, In : Control Systems Letters (L-CSS). 2, 3, p. 429-434 6 p.

Research output: Contribution to journalArticle

Monotone Systems
Operator
Monotonicity
Linear systems
Cones
8 Downloads (Pure)

Optimal control formulation of pulse-based control using Koopman operator

Sootla, A., Mauroy, A. & Damien, E., 1 May 2018, In : Automatica. 91, p. 217-224 8 p.

Research output: Contribution to journalArticle

Open Access
File
Nonlinear systems
Trajectories
Synthetic Biology
2017
4 Downloads (Pure)

Geometric properties of isostables and basins of attraction of monotone systems

Mauroy, A. & Sootla, A., 2017, In : IEEE Transactions on Automatic Control. 62, 12, p. 6183-6194 12 p.

Research output: Contribution to journalArticle

Open Access
File
Eigenvalues and eigenfunctions
Nonlinear dynamical systems
System theory
Uncertainty

Spectral identification of networks using sparse measurements

Mauroy, A. & HENDRICKX, J., 2017, In : SIAM Journal on Applied Dynamical Systems. 16, 1, p. 479-513 35 p.

Research output: Contribution to journalArticle

Numerical methods
Dynamical systems
Spectral Properties
Topology
Decomposition
2016

A spectral characterization of nonlinear normal modes

Cirillo, G. I., Mauroy, A., Renson, L., Kerschen, G. & Sepulchre, R., 1 Sep 2016, In : Journal of Sound and Vibration. 377, p. 284-301 18 p.

Research output: Contribution to journalArticle

Eigenvalues and eigenfunctions
operators
folding
eigenvectors
degrees of freedom

Global Stability Analysis Using the Eigenfunctions of the Koopman Operator

Mauroy, A. & Mezić, I., 1 Nov 2016, In : IEEE Transactions on Automatic Control. 61, 11, p. 3356-3369 14 p., 7384725.

Research output: Contribution to journalArticle

Convergence of numerical methods
Eigenvalues and eigenfunctions
Mathematical operators
Nonlinear systems
Linear stability analysis

The four bars problem

Mauroy, A., Taslakian, P., Langerman, S. & Jungers, R., 26 Jul 2016, In : Nonlinearity. 29, 9, p. 2657-2673 17 p.

Research output: Contribution to journalArticle

Linkage
linkages
apexes
Irrational number
Circle
2015

Extreme phase sensitivity in systems with fractal isochrons

Mauroy, A. & Mezić, I., 6 Jul 2015, In : Physica D: Nonlinear Phenomena. 308, p. 40-51 12 p.

Research output: Contribution to journalArticle

neurons
fractals
phase response
strange attractors
coefficients
2014

Global isochrons and phase sensitivity of bursting neurons

Mauroy, A., Rhoads, B., Moehlis, J. & Mezíc, I., 2014, In : SIAM Journal on Applied Dynamical Systems. 13, 1, p. 306-338 33 p.

Research output: Contribution to journalArticle

Bursting
Neurons
Neuron
Neuron Model
Singular Perturbation Theory
2013

Global analysis of a continuum model for monotone pulse-coupled oscillators

Mauroy, A. & Sepulchre, R. J., 2013, In : IEEE Transactions on Automatic Control. 58, 5, p. 1154-1166 13 p.

Research output: Contribution to journalArticle

Lyapunov functions

Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics

Mauroy, A., Mezić, I. & Moehlis, J., 2013, In : Physica D: Nonlinear Phenomena. 261, p. 19-30 12 p.

Research output: Contribution to journalArticle

trajectories
operators
asymptotic properties
Liapunov functions
linearization
2012

Contraction of monotone phase-coupled oscillators

Mauroy, A. & Sepulchre, R., Nov 2012, In : Systems and Control Letters. 61, 11, p. 1097-1102 6 p.

Research output: Contribution to journalArticle

Synchronization

On the use of Fourier averages to compute the global isochrons of (quasi)periodic dynamics

Mauroy, A. & Mezić, I., 5 Jul 2012, In : Chaos. 22, 3, 033112.

Research output: Contribution to journalArticle

Basin of Attraction
Eigenvalues and eigenfunctions
attraction
Eigenfunctions
eigenvectors
2008

Clustering behaviors in networks of integrate-and-fire oscillators

Mauroy, A. & Sepulchre, R., 2008, In : Chaos. 18, 3, 037122.

Research output: Contribution to journalArticle

Fires
Integrate
oscillators
Clustering
Synchronization