Per Sebastian Skardal
Associate Professor of Mathematics
Trinity College, Hartford, CT
Google Scholar :: CV :: Trinity Math
mail: 300 Summit St., Hartford, CT 06106
email: persebastian (dot) skardal (at) trincoll (dot) edu
Nonlinear Dynamics - Complex Networks - Applied Mathematics
Recent Publications & Preprints:
2023 Detecting disturbances in network-coupled dynamical systems with machine learning. Submitted.
Michelle Kovarik, Tyler Allcroft, and Per Sebastian Skardal. [arXiv]
2023 Deeper but smaller: Higher-order interactions increase linear stability but shrink basins. Submitted.
Yuanzhao Zhang, Per Sebastian Skardal, Federico Battiston, Giovanni Petri, and Maxime Lucas. [arXiv]
2023 Suppressing unknown disturbances to dynamical systems using machine learning. Submitted.
Juan G. Restrepo, Clayton P. Byer, and Per Sebastian Skardal. [arXiv]
2023 Detecting disturbances in network-coupled dynamical systems with machine learning. Chaos 33, 103137.
Per Sebastian Skardal and Juan G. Restrepo. [PDF] [DOI] [arXiv]
2023 Pattern formation and oscillations in nonlinear random walks on networks. SIAM Journal on Applied Mathematics 83, 1767.
Per Sebastian Skardal. [PDF] [DOI] [arXiv]
2023 Microfluidic single cell measurements of oxidative stress as a function of cell cycle position 415, 6481.
Tyler J. Allcroft, Jessica T. Duong, Per Sebastian Skardal, and Michelle L. Kovarik. [PDF] [DOI]
2023 Dual control of coupled oscillator networks. IEEE Open Journal of Control Systems 2, 146.
Per Sebastian Skardal and Alex Arenas. [PDF] [DOI] [arXiv]
2023 Synchronization of phase oscillators on complex hypergraphs. Chaos 33, 033116.
Sabina Adhikari, Juan G. Restrepo, and Per Sebastian Skardal. [PDF] [DOI] [arXiv]
2023 Multistability in coupled oscillator systems with higher-order interactions and community structure. Chaos 33, 023140.
Per Sebastian Skardal, Sabina Adhikari, and Juan G. Restrepo. [PDF] [DOI] [arXiv]
2022 Self-organized explosive synchronization in complex networks: Emergence of synchronization bombs. Submitted. Communications Physics 5, 264.
Lluís Arola-Fernández, Sergio Faci-Lázaro, Per Sebastian Skardal, Emmanuel Boghiu, Jesús Gómez-Gardeñes, and Alex Arenas. [PDF] [DOI] [arXiv]
2022 Grass-roots optimization of coupled oscillator networks. Physical Review E 106, 034202.
Pranick R. Chamlagai, Dane Taylor, and Per Sebastian Skardal. [PDF] [DOI] [arXiv]
2022 Generic criterion for explosive synchronization in heterogeneous phase oscillator populations. Physical Review Research 4, L032033.
Can Xu, Xuan Wang, and Per Sebastian Skardal. [PDF] [DOI] [arXiv]
Selected Publications:
2022 Self-organized explosive synchronization in complex networks: Emergence of synchronization bombs. Communications Physics 5, 264.
Lluís Arola-Fernández, Sergio Faci-Lázaro, Per Sebastian Skardal, Emmanuel Boghiu, Jesús Gómez-Gardeñes, and Alex Arenas. [PDF] [DOI] [arXiv]
2021 Spectrum of extensive multiclusters in the Kuramoto model with higher-order interactions. Physical Review Research 3, 013013.
Can Xu and Per Sebastian Skardal. [PDF] [DOI] [arXiv]
2020 Higher-order interactions in complex networks of phase oscillators promote abrupt synchronization switching. Communications Physics 3, 218.
Per Sebastian Skardal and Alex Arenas. [PDF] [DOI] [arXiv]
2020 Bifurcation analysis and structural stability of simplicial oscillator populations. Physical Review Research 2, 023281.
Can Xu, Xuebin Wang, and Per Sebastian Skardal. [PDF] [DOI] [arXiv]
2019 Synchronization of network-coupled oscillators with uncertain dynamics. SIAM Journal on Applied Mathematics 79, 2409.
Per Sebastian Skardal, Dane Taylor, and Jie Sun. [PDF] [DOI] [arXiv]
2019 Abrupt desynchronization and extensive multistability in globally coupled oscillator simplexes. Physical Review Letters 122, 248301.
Per Sebastian Skardal and Alex Arenas. [PDF] [DOI] [arXiv]
2018 Dynamics of nonlinear random walks on complex networks. Journal of Nonlinear Science 29, 1419.
Per Sebastian Skardal and Sabina Adhikari. [PDF] [DOI] [arXiv]
2017 Collective phenomena emerging from the interactions between dynamical processes in multiplex networks. Physical Review Letters 118, 139302.
Vincenzo Nicosia, Per Sebastian Skardal, Alex Arenas, and Vito Latora. [PDF] [SI] [DOI] [arXiv]
2016 Synchronization of heterogeneous oscillators under network modifications: Perturbation and optimization of the synchrony alignment function. SIAM Journal on Applied Mathematics 76, 1984.
Dane Taylor, Per Sebastian Skardal, and Jie Sun. [PDF] [DOI] [arXiv]
2015 Control of coupled oscillator networks with application to microgrid technologies. Science Advances 1, e1500339.
Per Sebastian Skardal and Alex Arenas. [PDF] [DOI] [arXiv]
2014 Optimal synchronization of complex networks. Physical Review Letters 113, 144101.
Per Sebastian Skardal, Dane Taylor, and Jie Sun. [PDF] [DOI] [arXiv]
