314 citations · 2k across the 57 of their papers we have counts for
8 papers · 1 filter
Dynamics tuning with reservoir computer control
Krithikesh Ravishankar, Juan G. Restrepo, Per Sebastian Skardal
We present an equation-free method for maintaining a dynamical system operating in a desired regime, even as system parameters are disturbed in such a way that qualitatively differ…
Chaos in Nonlinear Random Walks with Non-Monotonic Transition Probabilities
Digesh Chitrakar, Per Sebastian Skardal
Random walks serve as important tools for studying complex network structures, yet their dynamics in cases where transition probabilities are not static remain under explored and p…
Uncovering low dimensional macroscopic chaotic dynamics of large finite size complex systems
Per Sebastian Skardal, Juan G. Restrepo, Edward Ott
In the last decade it has been shown that a large class of phase oscillator models admit low dimensional descriptions for the macroscopic system dynamics in the limit of an infinit…
Nonlinear Transport in the Stochastic Standard Map
Per Sebastian Skardal, Adam M. Fox
We study a stochastically-driven standard map. The addition of a noise term destroys the invariant manifolds that organize the phase space which allows for more widespread transpor…
Frequency assortativity can induce chaos in oscillator networks
Per Sebastian Skardal, Juan G. Restrepo, Edward Ott
We investigate the effect of preferentially connecting oscillators with similar frequency to each other in networks of coupled phase oscillators (i.e., frequency assortativity). Us…
Coexisting chaotic and multi-periodic dynamics in a model of cardiac alternans
Per Sebastian Skardal, Juan G. Restrepo
The spatiotemporal dynamics of cardiac tissue is an active area of research for biologists, physicists, and mathematicians. Of particular interest is the study of period-doubling b…
Hierarchical Synchrony of Phase Oscillators in Modular Networks
Per Sebastian Skardal, Juan G. Restrepo
We study synchronization of sinusoidally coupled phase oscillators on networks with modular structure and a large number of oscillators in each community. Of particular interest is…
Cluster Synchrony in Systems of Coupled Phase Oscillators with Higher-Order Coupling
Per Sebastian Skardal, Edward Ott, Juan G. Restrepo
We study the phenomenon of cluster synchrony that occurs in ensembles of coupled phase oscillators when higher-order modes dominate the coupling between oscillators. For the first…