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Publications


      2016


      D. Angulo-Garcia, J.D. Berke, and A. Torcini, "Cell assembly dynamics of sparsely-connected inhibitory networks: a simple model for the collective activity of striatal projection neurons", PLOS Computational Biology 12(2): e1004778 (2015) [HTML]



      2015


      M. Mulansky, N. Bozanic, A. Sburlea, and T. Kreuz, "A guide to time-resolved and parameter-free measures of spike train synchrony", International Conference on (pp. 1-8). IEEE. (2015) [PDF]

       

      T. Kreuz, M. Mulansky and N. Bozanic, "SPIKY: A graphical user interface for minitoring spike train synchrony", J Neurophysiol 113, 3432 (2015) [PDF]

       

      D. Angulo-Garcia and A. Torcini, "Stochastic mean field formulation of the dynamics of diluted neural networks", Phys. Rev. E 91, 022928 (2015) [PDF]


      2014

      N. Bozanic, M. Mulansky and T. Kreuz, "SPIKY",  Scholarpedia 9(12), 32344 (2014) [HTML]

      R. G. Andrzejak, F. Mormann and T. Kreuz, "Detecting determinism from point processes", Physical Review E 90, 062906 (2014) [PDF]

      S. Olmi, A. Politi, and A. Torcini, "Linear stability in networks of pulse-coupled  neurons",  Frontiers in Computational Neuroscience 8(8) (2014) [HTML]

      S. Luccioli, E. Ben-Jacob, A. Barzilai, P. Bonifazi, and A. Torcini, "Clique of functional hubs orchestrates population bursts in developmentally regulated neural networks", PLOS Computational Biology 10(9): e1003823 (2014) [PDF]

      D. Angulo-Garcia and A. Torcini, "Stable chaos in fluctuation driven neural circuits", Chaos,solitons and fractals 69, 233-245 (2014) [PDF]

      K. Mikkelsen, A. Imparato, and A. Torcini, "Sisyphus Effect in Pulse Coupled Excitatory Neural Networks with Spike-Timing Dependent Plasticity", Phys. Rev. E 89, 062701 (2014) [PDF]

      2013

       

      T. Kreuz, D. Chicharro, C. Houghton, R. G. Andrzejak, F. Mormann: Monitoring spike train synchrony. J Neurophysiol. J Neurophysiol 109, 1457 (2013) . Also submitted to the arXiv [PDF]


      K. Mikkelsen, A. Imparato, and A. Torcini, " Emergence of slow collective oscillations in neural networks with spike timing dependent plasticity", Phys. Rev. Lett. 110, 208101 (2013) [PDF]


      M. di Volo, R. Livi, S. Luccioli, A.Politi, and A. Torcini, "Synchronous dynamics in the presence of short-term plasticity", Phys. Rev. E 87, 032801 (2013) [PDF]

      S. Olmi and A. Torcini, "Coherent activity in excitatory pulse-coupled networks" , Scholarpedia 8(10) : 30928  (2013) [HTML]


      2012

      L. Tattini, S. Olmi, and A. Torcini, "Coherent periodic activity in excitatory Erdös-Reniy neural networks", Chaos 22, 023133 (2012) [PDF]

      M. Dipoppa, M. Krupa, A. Torcini, and B. S. Gutkin, "Splay states in finite pulse-coupled networks of excitable neurons"   SIAM Journal on Applied Dynamical Systems 11, 864-894 (2012) [ PDF]


      S. Luccioli, S. Olmi, A.Politi, and A. Torcini, "Collective dynamics in sparse networks", Phys. Rev. Lett. 109, 138103 (2012) [PDF]


      M. Bär, E. Schöll, A. Torcini, "Synchronization and complex dynamics of oscillators with delayed pulse-coupling", Angew. Chem. Int. Ed. 51, 9489-9490 (2012) [PDF]


      "Synchronisation und komplexe Dynamik von Oszillatoren mit verzögerter Pulskopplung" Angew. Chem. 124, 9627-9628 (2012) [PDF in German]


      S. Olmi, A. Politi, and A. Torcini, "Stability of the splay state in networks of pulse-coupled neurons",  J. Mathematical Neuroscience (2012) 2:12 [PDF]


      W.J. Freeman, R. Livi, M. Obinata, G. Vitiello, "Cortical phase transitions, nonequilibrium thermodynamics and the time dependent Ginzburg-Landau equation" Int. J. Mod. Physics B 26:06 (2012)


      C. Houghton, T. Kreuz: On the efficient calculation of van Rossum distances. Network: Computation in neural systems 23, 48 (2012) [PDF]


      T. Kreuz: SPIKE-distance. Scholarpedia 7(12), 30652 (2012) [HTML]




    2011

      T. Kreuz, D. Chicharro, M. Greschner, R.G. Andrzejak "Time-resolved and time-scale adaptive measures of spike train synchrony", J Neurosci Methods 195, 92 (2011) [PDF]


      D. Chicharro, T. Kreuz, R.G. Andrzejak, "What can spike train distances tell us about the neural code?" J Neurosci Methods 199, 146 (2011) [PDF]


      T. Kreuz: Measures of neuronal signal synchrony. Scholarpedia 6(12), 11922 (2011) [HTML]


      T. Kreuz: Measures of spike train synchrony. Scholarpedia 6(10), 11934 (2011) [HTML]


      Andrzejak RG, Kreuz T: Characterizing unidirectional couplings between point processes and flows. European Physics Letters 96, 50012 (2011) [PDF]




    2010

      A. Politi, and A. Torcini, "Stable Chaos", Nonlinear Dynamics and Chaos: Advances and Perspectives Eds. Thiel, M.; Kurths, J.; Romano, M.C.: Moura, A.; Karolyi, G., (Springer Verlag, 2010, Heidelberg) [PDF]

      S. Olmi, R. Livi, A. Politi, and A. Torcini, "Collective oscillations in disordered neural network",  Phys. Rev. E 81, 046119 (2010) [PDF]

      S. Luccioli and A. Politi, "Irregular Collective Behavior of Heterogeneous Neural Networks", Phys. Rev. Lett. 105, 158104 (2010) [PDF]

      A. Politi, S. Luccioli Dynamics of networks of leaky-integrate and fire neurons in "Complex Networks across the Natural and Technological Sciences" edited by M. Fox, D. Higham, G.-L. Oppo and E. Estrada, (Springer)

      S. Olmi, A. Politi, and A. Torcini, "Collective chaos in pulse coupled oscillators", Europhys. Lett. 92, 6007 (2010) [PDF]



      2009

      M. Calamai, A. Politi, and A. Torcini, ``Stability of splay states in globally coupled rotators'', Phys. Rev. E 80 (2009) 036209 [PDF]

      T. Kreuz, D. Chicharro, R.G. Andrzejak, J.S. Haas, H.D.I. Abarbanel, "Measuring multiple spike train synchrony" J Neurosci Methods, 183 (2009) 287 [PDF]



      2007
      A. Torcini, S. Luccioli, and T. Kreuz, "Coherent response of the Hodgkin-Huxley neuron in the high-input regime" Neurocomputing 70 (2007) 1943. [PDF]

      R. Zillmer, R. Livi, A. Politi, and A. Torcini, "Desynchronized stable states in diluted neural networks", Neurocomputing 70 (2007) 1960. [PDF]

      T. Kreuz, S. Luccioli, and A. Torcini, "Coherence resonance due to correlated noise in neuronal models", Neurocomputing 70 (2007) 1970. [PDF]

      R. Zillmer, R. Livi, A. Politi, and A. Torcini, "Stability of the splay state in pulse--coupled networks" Phys. Rev. E 76 (2007) 046102 [PDF]

      G. Innocenti, A. Morelli, R. Genesio, and A. Torcini, " Dynamical phases of the Hindmarsh-Rose neuronal model: studies of the transition from bursting to spiking chaos", Chaos 17 (2007) 043128 [PDF]

      T. Kreuz, JS Haas, A. Morelli, HDI Abarbanel, A. Politi, "Measuring spike train synchrony. J Neurosci Methods 165 (2007) 151 [PDF]

      T. Kreuz, F. Mormann, R. G. Andrzejak, A. Kraskov, K. Lehnertz, P. Grassberger, "Measuring synchronization in coupled model systems: A comparison of different approaches" Physica D 225 (2007) 29 [PDF]

     

      2006

      S. Luccioli, T. Kreuz, and A. Torcini "Dynamical response of the Hodgkin-Huxley model in the high-input regime", Phys. Rev. E 73 (2006) 041902. [PDF]

      R. Zillmer, R. Livi, A. Politi, and A. Torcini "Desynchronization in diluted neural networks", Phys. Rev. E 74 (2006) 036203. [PDF]

      T. Kreuz, S. Luccioli, and A. Torcini, "Double coherence resonance in neuron models driven by discrete correlated noise", Phys. Rev. Lett. 97 (2006) 238101. [PDF]