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Degrees:
Ph.D., Univ. Colorado at Boulder
M.S., Univ. Colorado at Boulder
B.A., Boston College
Per Sebastian Skardal began his academic career as an undergraduate at Boston College, where he studied mathematic and computer science. He earned his Ph.D. at the University of Colorado at Boulder, specializing in nonlinear dynamics, stochastic processes and complex networks. In particular, he began studying complexity and chaos in ensembles of nonlinear dynamical systems that interact in complex networks and other complex systems synchronization phenomena and spatiotemporal dynamics of cardiac tissue. He then moved to Barcelona, where he spent two years as a postdoctoral research fellow in Barcelona, continuing work in similar areas. |
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Applied Mathematics
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Dynamical Systems
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Differential Equations
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Probability
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Stochastic Processes
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Nonlinear Dynamics
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Stochastic Processes
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Complex Networks
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Synchronization
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Self-Organization
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Cardiac Dynamics
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Complexity
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Chaos Theory
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Bifurcation Theory
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Peer-Reviewed Journal Articles:
- Per Sebastian Skardal, Low Dimensional Dynamics of the Kuramoto Model with Rational Frequency Distributions, Physical Review E 98, 022207 (2018).
- Per Sebastian Skardal, 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 (2018).
- Per Sebastian Skardal, Diffusion Dynamics and Synchronizability of Hierarchical Products of Networks, Physical Review E 96, 042302 (2017).
- Per Sebastian Skardal, Juan G. Restrepo, and Edward Ott, Uncovering Low Dimensional Macroscopic Chaotic Dynamics of Large Finite Size Complex Systems, Chaos 27, 083121 (2017).
- Vincenzo Nicosia, Per Sebastian Skardal, Alex Arenas, and Vito Latora, Collective Phenomena Emerging from the Interactions Between Dynamical Processes in Multiplex Networks, Physical Review Letters 118, 138302 (2017).
- Shufan Wang, Mariam Avagyan, and Per Sebastian Skardal, Evolving Network Structure of Academic Institutions, Applied Network Science 2, 1 (2017).
- Per Sebastian Skardal, Ricardo Sevilla-Escoboza, Victor Vera-Ávila, and Javier Martín Buldú, Optimal Phase Synchronization in Networks of Phase-Coherent Chaotic Oscillators, Chaos 27, 013111 (2017).
- Per Sebastian Skardal and Kirsti Wash, Spectral Properties of the Hierarchical Product of Graphs, Physical Review E 94, 052311 (2016).
- Dane Taylor, Per Sebastian Skardal, and Jie Sun, Synchronization of Heterogeneous Oscillators Under Network Modifications: Perturbation and Optimization of the Synchrony Alignment Function, SIAM Journal on Applied Mathematics 76, 1984 (2016).
- Per Sebastian Skardal and Alex Arenas, On Controlling Networks of Limit-Cycle Oscillators, Chaos 26, 094812 (2016).
- Per Sebastian Skardal, Dane Taylor, and Jie Sun, Optimal Synchronization of Directed Complex Networks, Chaos 26, 094807 (2016).
- Per Sebastian Skardal, Dane Taylor, Jie Sun, and Alex Arenas, Collective Frequency Variation in Network Synchronization and Reverse PageRank, Physical Review E 93, 042314 (2016).
- Per Sebastian Skardal, Dane Taylor, Jie Sun, and Alex Arenas, Erosion of Synchronization: Coupling Heterogeneity and Network Structure, Physica D 323-324, 40 (2016).
- Per Sebastian Skardal and Alex Arenas, Control of Coupled Oscillator Networks with Application to Microgrid Technologies, Science Advances, 1, e1500339 (2015).
- Per Sebastian Skardal, Juan G. Restrepo, and Edward Ott, Frequency Assortativity can Induce Chaos in Oscillator Networks, Physical Review E: Rapid Communications 91, 060902(R) (2015).
- Per Sebastian Skardal, Dane Taylor, Jie Sun, and Alex Arenas, Erosion of Synchronization in Networks of Coupled Oscillators, Physical Review E: Rapid Communications 91, 010802(R) (2015).
- Per Sebastian Skardal and Juan G. Restrepo, Coexisting Chaotic and Multi-Periodic Dynamics in a Model of Cardiac Alternans, Chaos 24, 043126 (2014).
- Per Sebastian Skardal, Dane Taylor, and Jie Sun, Optimal Synchronization of Complex Networks, Physical Review Letters 113, 144101 (2014).
- Per Sebastian Skardal and Alex Arenas, Disorder Induces Explosive Synchronization, Physical Review E 89, 062811 (2014).
- Per Sebastian Skardal, Alain Karma, and Juan G. Restrepo, Spatiotemporal Dynamics of Calcium-Driven Cardiac Alternans, Physical Review E 89, 052707 (2014).
- Per Sebastian Skardal, Dane Taylor, and Juan G. Restrepo, Complex Macroscopic Behavior in Systems of Phase Oscillators with Adaptive Coupling, Physica D 267, 27 (2014).
- Per Sebastian Skardal, Jie Sun, Dane Taylor, and Juan G. Restrepo, Effect of Degree-Frequency Correlations on Network Synchronization: Universality and Full Phase-Locking, Europhysics Letters 101, 20001 (2013).
- Per Sebastian Skardal, Alain Karma, and Juan G. Restrepo, Unidirectional Pinning and Hysteresis of Spatially Discordant Alternans in Cardiac Tissue, Physical Review Letters 108, 108103 (2012).
- Per Sebastian Skardal and Juan G. Restrepo, Hierarchical Synchrony of Phase Oscillators in Modular Networks, Physical Review E 85, 016208 (2012).
- Per Sebastian Skardal, Edward Ott, and Juan G. Restrepo, Cluster Synchrony in Systems of Coupled Phase Oscillators with Higher-Order Coupling, Physical Review E 84, 036208 (2011).
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- Outstanding Referee: Chaos, 2014
- Complex Systems Society (CSS) Member, September 2014
- Pi Mu Epsilon National Mathematics Honor Society, May 2007
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