@misc{ErraVelazquezRosenblum2017,
  author    = {Erra, Ramon Guevara and Velazquez, Jose L. Perez and Rosenblum, Michael},
  title     = {Neural Synchronization from the Perspective of Non-linear Dynamics},
  series = {Frontiers in computational neuroscience / Frontiers Research Foundation},
  volume    = {11},
  journal   = {Frontiers in computational neuroscience / Frontiers Research Foundation},
  publisher = {Frontiers Research Foundation},
  address   = {Lausanne},
  issn      = {1662-5188},
  doi       = {10.3389/fncom.2017.00098},
  pages     = {4},
  year      = {2017},
  language  = {en}
}
@article{CestnikRosenblum2017,
  author    = {Cestnik, Rok and Rosenblum, Michael},
  title     = {Reconstructing networks of pulse-coupled oscillators from spike trains},
  series = {Physical review : E, Statistical, nonlinear and soft matter physics},
  volume    = {96},
  journal   = {Physical review : E, Statistical, nonlinear and soft matter physics},
  publisher = {American Physical Society},
  address   = {College Park},
  issn      = {2470-0045},
  doi       = {10.1103/PhysRevE.96.012209},
  pages     = {3455 -- 3461},
  year      = {2017},
  abstract  = {We present an approach for reconstructing networks of pulse-coupled neuronlike oscillators from passive observation of pulse trains of all nodes. It is assumed that units are described by their phase response curves and that their phases are instantaneously reset by incoming pulses. Using an iterative procedure, we recover the properties of all nodes, namely their phase response curves and natural frequencies, as well as strengths of all directed connections.},
  language  = {en}
}
@article{GoldobinPimenovaRosenblumetal.2017,
  author    = {Goldobin, Denis S. and Pimenova, Anastasiya V. and Rosenblum, Michael and Pikovskij, Arkadij},
  title     = {Competing influence of common noise and desynchronizing coupling on synchronization in the Kuramoto-Sakaguchi ensemble},
  series = {European physical journal special topics},
  volume    = {226},
  journal   = {European physical journal special topics},
  publisher = {Springer},
  address   = {Heidelberg},
  issn      = {1951-6355},
  doi       = {10.1140/epjst/e2017-70039-y},
  pages     = {1921 -- 1937},
  year      = {2017},
  abstract  = {We describe analytically synchronization and desynchronization effects in an ensemble of phase oscillators driven by common noise and by global coupling. Adopting the Ott-Antonsen ansatz, we reduce the dynamics to closed stochastic equations for the order parameters, and study these equations for the cases of populations of identical and nonidentical oscillators. For nonidentical oscillators we demonstrate a counterintuitive effect of divergence of individual frequencies for moderate repulsive coupling, while the order parameter remains large.},
  language  = {en}
}
@article{PopovychLysyanskyRosenblumetal.2017,
  author    = {Popovych, Oleksandr V. and Lysyansky, Borys and Rosenblum, Michael and Pikovskij, Arkadij and Tass, Peter A.},
  title     = {Pulsatile desynchronizing delayed feedback for closed-loop deep brain stimulation},
  series = {PLoS one},
  volume    = {12},
  journal   = {PLoS one},
  publisher = {PLoS},
  address   = {San Fransisco},
  issn      = {1932-6203},
  doi       = {10.1371/journal.pone.0173363},
  pages     = {29},
  year      = {2017},
  abstract  = {High-frequency (HF) deep brain stimulation (DBS) is the gold standard for the treatment of medically refractory movement disorders like Parkinson's disease, essential tremor, and dystonia, with a significant potential for application to other neurological diseases. The standard setup of HF DBS utilizes an open-loop stimulation protocol, where a permanent HF electrical pulse train is administered to the brain target areas irrespectively of the ongoing neuronal dynamics. Recent experimental and clinical studies demonstrate that a closed-loop, adaptive DBS might be superior to the open-loop setup. We here combine the notion of the adaptive high-frequency stimulation approach, that aims at delivering stimulation adapted to the extent of appropriately detected biomarkers, with specifically desynchronizing stimulation protocols. To this end, we extend the delayed feedback stimulation methods, which are intrinsically closed-loop techniques and specifically designed to desynchronize abnormal neuronal synchronization, to pulsatile electrical brain stimulation. We show that permanent pulsatile high-frequency stimulation subjected to an amplitude modulation by linear or nonlinear delayed feedback methods can effectively and robustly desynchronize a STN-GPe network of model neurons and suggest this approach for desynchronizing closed-loop DBS.},
  language  = {en}
}