2022 Explosive synchronization and multistability in large systems of Kuramoto oscillators with higher-order interactions, in Federico Battiston and Giovanni Petri (Editors), Higher-Order Systems, 217—232 (Springer, 2022)
Per Sebastian Skardal and Alex Arenas. [DOI]
2024 Detecting disturbances in network-coupled dynamical systems with machine learning. Submitted.
Michelle Kovarik, Tyler Allcroft, and Per Sebastian Skardal. [arXiv]
2024 Suppressing unknown disturbances to dynamical systems using machine learning. Communications Physics 7, 415.
Juan G. Restrepo, Clayton P. Byer, and Per Sebastian Skardal. [PDF] [DOI] [arXiv]
2024 Deeper but smaller: Higher-order interactions increase linear stability but shrink basins. Science Advances 10, eado8049.
Yuanzhao Zhang, Per Sebastian Skardal, Federico Battiston, Giovanni Petri, and Maxime Lucas. [PDF] [DOI] [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. 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]
2022 Tiered synchronization in coupled oscillator populations with interaction delays and higher-order interactions. Chaos 32, 053120.
Per Sebastian Skardal and Can Xu. [PDF] [DOI] [arXiv]
2022 Balanced Hodge Laplacians optimize consensus dynamics over simplicial complexes. Chaos 32, 023128.
Cameron Ziegler, Per Sebastian Skardal, Haimonti Dutta, and Dane Taylor. [PDF] [DOI] [arXiv]
2021 Higher-order interactions improve optimal collective dynamics on networks. Physical Review Research 3, 043193.
Per Sebastian Skardal, Lluís Arola-Fernández, Dane Taylor, and Alex Arenas. [PDF] [DOI] [arXiv]
2021 Chaos in nonlinear random walks with non-monotonic transition probabilities. Physical Review Research 3, 043189.
Digesh Chitrakar and Per Sebastian Skardal. [PDF] [DOI] [arXiv]
Press: Trinity News, Olivia Zeiner-Morrish, 8/13/2021
2021 On a distance-constrained graph labeling to model cooperation. Discrete Applied Mathematics 306, 12.
John P. Georges, Kirsti Kuenzel, David W. Mauro, and Per Sebastian Skardal. [PDF] [DOI]
2021 Geometric unfolding of synchronization dynamics on networks. Chaos 31, 061105.
Lluís Arola-Fernández, Per Sebastian Skardal, 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 Memory selection and information switching in oscillator networks with higher-order interactions. Journal of Physics: Complexity 2, 015003.
Per Sebastian Skardal and Alex Arenas. [PDF] [DOI] [arXiv]
2020 Universal scaling and phase transitions of coupled phase oscillator populations. Physical Review E 102, 042310.
Can Xu, Xuebin Wang, and Per Sebastian Skardal. [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]
2020 Quasi-periodic dynamics and a Neimark-Sacker bifurcation in nonlinear random walks on complex networks. Physical Review E 101, 012307.
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 Competitive suppression of synchronization and non-monotonic transitions in oscillator communities with distributed time delay. Physical Review Research 1, 033042.
Juan G. Restrepo and Per Sebastian Skardal. [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]
2019 Symmetry and symmetry breaking in coupled oscillator communities. European Physical Journal B 92, 46.
Per Sebastian Skardal. [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]
2018 Low dimensional dynamics of the Kuramoto model with rational frequency distributions. Physical Review E 98, 022207.
Per Sebastian Skardal. [PDF] [DOI] [arXiv]
2018 Stability diagram, hysteresis, and critical time delay and frequency for the Kuramoto model with heterogeneous interaction delays. International Journal of Bifurcation and Chaos 28, 1830014.
Per Sebastian Skardal. [PDF] [DOI] [arXiv]
2017 Diffusion dynamics and synchronizability of hierarchical products of networks. Physical Review E 96, 042302.
Per Sebastian Skardal. [PDF] [DOI] [arXiv]
2017 Uncovering low dimensional macroscopic chaotic dynamics of large finite size complex systems. Chaos 27, 083121.
Per Sebastian Skardal, Juan G. Restrepo, and Edward Ott. [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]
2017 Evolving network structure of academic institutions. Applied Network Science 2, 1.
Shufan Wang, Mariam Avagyan, and Per Sebastian Skardal. [PDF] [DOI] [arXiv]
Press: Trinity News, Annelise Gilbert, 2/2017
2017 Optimal phase synchronization in networks of phase-coherent chaotic oscillators. Chaos 27, 013111.
Per Sebastian Skardal, Ricardo Sevilla-Escoboza, Victor Vera-Ávila, and Javier Martín Buldú. [PDF] [DOI] [arXiv]
2016 Spectral properties of the hierarchical product of graphs. Physical Review E 94, 052311.
Per Sebastian Skardal and Kirsti Wash. [PDF] [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]
2016 On controlling networks of limit-cycle oscillators. Chaos 26, 094812.
Per Sebastian Skardal and Alex Arenas. [PDF] [DOI] [arXiv]
2016 Optimal synchronization of directed complex networks. Chaos 26, 094807.
Per Sebastian Skardal, Dane Taylor, and Jie Sun. [PDF] [DOI] [arXiv]
2016 Collective frequency variation in network synchronization and reverse PageRank. Physical Review E 93, 042314.
Per Sebastian Skardal, Dane Taylor, Jie Sun, and Alex Arenas. [PDF] [DOI] [arXiv]
2016 Erosion of synchronization: Coupling heterogeneity and network structure. Physica D 323-324, 40.
Per Sebastian Skardal, Dane Taylor, Jie Sun, and Alex Arenas. [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]
Press: IEEE Spectrum, Katherine Tweed, 8/2015
Trinity Commons, Trinity News, Andrew Concatelli, 8/2015
West Hartford News, 10/2015
The Trinity Reporter, Winter 2016
2015 Frequency assortativity can induce chaos in oscillator networks. Physical Review E: Rapid Communications 91, 060902(R).
Per Sebastian Skardal, Juan G. Restrepo, and Edward Ott. [PDF] [DOI] [arXiv]
2015 Erosion of synchronization in networks of coupled oscillators. Physical Review E: Rapid Communications 91, 010802(R).
Per Sebastian Skardal, Dane Taylor, Jie Sun, and Alex Arenas. [PDF] [DOI] [arXiv]
2014 Coexisting chaotic and multi-periodic dynamics in a model of cardiac alternans. Chaos 24, 043126.
Per Sebastian Skardal and Juan G. Restrepo. [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]
2014 Disorder induces explosive synchronization. Physical Review E 89, 062811.
Per Sebastian Skardal and Alex Arenas. [PDF] [DOI] [arXiv]
2014 Spatiotemporal dynamics of calcium-driven alternans. Physical Review E 89, 052707.
Per Sebastian Skardal, Alain Karma, and Juan G. Restrepo. [PDF] [DOI] [arXiv]
2014 Complex macroscopic behavior in systems of phase oscillators with adaptive coupling. Physica D 267, 27.
Per Sebastian Skardal, Dane Taylor, and Juan G. Restrepo. [PDF] [DOI] [arXiv]
2013 Effects of degree-frequency correlations on network synchronization: Universality and full phase-locking. Europhysics Letters 101, 20001.
Per Sebastian Skardal, Jie Sun, Dane Taylor, and Juan G. Restrepo. [PDF] [DOI] [arXiv]
2012 Unidirectional pinning and hysteresis of spatially discordant alternans in cardiac tissue. Physical Review Letters 108, 108103.
Per Sebastian Skardal, Alain Karma, and Juan G. Restrepo. [PDF] [DOI] [arXiv]
2012 Hierarchical synchrony of phase oscillators in modular networks. Physical Review E 85, 016208.
Per Sebastian Skardal and Juan G. Restrepo. [PDF] [DOI] [arXiv]
2011 Cluster synchrony in systems of coupled phase oscillators with higher-order coupling. Physical Review E 84, 036208.
Per Sebastian Skardal, Edward Ott, and Juan G. Restrepo. [PDF] [DOI] [arXiv]
2020 A preliminary study on the VANET topology characteristics from propagation-aware traffic flows extracted from measured data. In Proceedings of the 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting (Montreal, July 2020).
Lin Cheng, Erkin Verbeek, and Per Sebastian Skardal. [PDF] [DOI]
2017 Characterizing chaotic behavior of REM sleep EEG using Lyapunov exponent. In Proceedings of the 10th International Congress on Image and Signal Processing, Biomedical Engineering and Informatics (Shanghai, October 2017).
Prawesh Dahal, Mariam Avagyan, Per Sebastian Skardal, Harry J. Blaise, and Taikang Ning. [PDF] [DOI]
2012 Synchronization of Kuramoto oscillators in networks of networks. In Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications (Palma, October 2012).
Per Sebastian Skardal and Juan G. Restrepo. [PDF] [arXiv]
2010 Spatiotemporal chaos: Effects of spatial smoothing on bifurcations in a discrete-time chaotic map. Technical Report CU-CS 1066-10 (University of Colorado, 2010).
Per Sebastian Skardal. [PDF]
2021 An overview of complex systems. Physics Today 74, 51 (2021). [PDF] [DOI]
2020 Introduction to Focus Issue: Symmetry and optimization in the synchronization and collective behavior of complex systems. Chaos 30, 060401.
Dane Taylor, Per Sebastian Skardal, and Jie Sun. [PDF] [DOI]