318 citations · 2.8k across the 60 of their papers we have counts for
11 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…
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…
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…
Mean field theory of assortative networks of phase oscillators
Juan G. Restrepo, Edward Ott
Employing the Kuramoto model as an illustrative example, we show how the use of the mean field approximation can be applied to large networks of phase oscillators with assortativit…
Onset of Synchronization in the Disordered Hamiltonian Mean Field Model
Juan G. Restrepo, James D. Meiss
We study the Hamiltonian Mean Field (HMF) model of coupled Hamiltonian rotors with a heterogeneous distribution of moments of inertia and coupling strengths. We show that when the…