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:

2022 Tiered synchronization in coupled oscillator populations with interaction delays and higher-order interactions. Submitted.

Per Sebastian Skardal and Can Xu. [arXiv]

2022 Balanced Hodge Laplacians optimize consensus dynamics over simplicial complexes. Submitted.

Cameron Ziegler, Per Sebastian Skardal, Haimonti Dutta, and Dane Taylor. [arXiv]

2022 Grass-roots optimization of coupled oscillator networks. Submitted.

Pranick R. Chamlagai, Dane Taylor, and Per Sebastian Skardal. [arXiv]

2021 Higher-order interactions improve optimal collective dynamics on networks. In Press at Physical Review Research.

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]

Selected Publications:

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]