@article{ZaksTomov2016,
  author    = {Zaks, Michael A. and Tomov, Petar},
  title     = {Onset of time dependence in ensembles of excitable elements with global repulsive coupling},
  series = {Physical review : E, Statistical, nonlinear and soft matter physics},
  volume    = {93},
  journal   = {Physical review : E, Statistical, nonlinear and soft matter physics},
  publisher = {American Physical Society},
  address   = {College Park},
  issn      = {2470-0045},
  doi       = {10.1103/PhysRevE.93.020201},
  pages     = {5},
  year      = {2016},
  abstract  = {We consider the effect of global repulsive coupling on an ensemble of identical excitable elements. An increase of the coupling strength destabilizes the synchronous equilibrium and replaces it with many attracting oscillatory states, created in the transcritical heteroclinic bifurcation. The period of oscillations is inversely proportional to the distance from the critical parameter value. If the elements interact with the global field via the first Fourier harmonics of their phases, the stable equilibrium is in one step replaced by the attracting continuum of periodic motions.},
  language  = {en}
}
@article{TomovPenaRoqueetal.2016,
  author    = {Tomov, Peter and Pena, Rodrigo F. O. and Roque, Antonio C. and Zaks, Michael A.},
  title     = {Mechanisms of Self-Sustained Oscillatory States in Hierarchical Modular Networks with Mixtures of Electrophysiological Cell Types},
  series = {Frontiers in computational neuroscience / Frontiers Research Foundation},
  volume    = {10},
  journal   = {Frontiers in computational neuroscience / Frontiers Research Foundation},
  publisher = {Frontiers Research Foundation},
  address   = {Lausanne},
  organization    = {HESS Collaboration},
  issn      = {1662-5188},
  doi       = {10.3389/fncom.2016.00023},
  pages     = {476 -- +},
  year      = {2016},
  abstract  = {In a network with a mixture of different electrophysiological types of neurons linked by excitatory and inhibitory connections, temporal evolution leads through repeated epochs of intensive global activity separated by intervals with low activity level. This behavior mimics "up" and "down" states, experimentally observed in cortical tissues in absence of external stimuli. We interpret global dynamical features in terms of individual dynamics of the neurons. In particular, we observe that the crucial role both in interruption and in resumption of global activity is played by distributions of the membrane recovery variable within the network. We also demonstrate that the behavior of neurons is more influenced by their presynaptic environment in the network than by their formal types, assigned in accordance with their response to constant current.},
  language  = {en}
}
@article{PoeschkeSokolovNepomnyashchyetal.2016,
  author    = {Poeschke, Patrick and Sokolov, Igor M. and Nepomnyashchy, Alexander A. and Zaks, Michael A.},
  title     = {Anomalous transport in cellular flows: The role of initial conditions and aging},
  series = {Physical review : E, Statistical, nonlinear and soft matter physics},
  volume    = {94},
  journal   = {Physical review : E, Statistical, nonlinear and soft matter physics},
  publisher = {American Physical Society},
  address   = {College Park},
  issn      = {2470-0045},
  doi       = {10.1103/PhysRevE.94.032128},
  pages     = {7},
  year      = {2016},
  abstract  = {We consider the diffusion-advection problem in two simple cellular flow models ( often invoked as examples of subdiffusive tracer motion) and concentrate on the intermediate time range, in which the tracer motion indeed may show subdiffusion. We perform extensive numerical simulations of the systems under different initial conditions and show that the pure intermediate-time subdiffusion regime is only evident when the particles start at the border between different cells, i.e., at the separatrix, and is less pronounced or absent for other initial conditions. The motion moreover shows quite peculiar aging properties, which are also mirrored in the behavior of the time-averaged mean squared displacement for single trajectories. This kind of behavior is due to the complex motion of tracers trapped inside the cell and is absent in classical models based on continuous-time random walks with no dynamics in the trapped state.},
  language  = {en}
}