Spatial evolution of Hindmarsh–Rose neural network with time delays

[1]  Jürgen Kurths,et al.  Effects of partial time delays on phase synchronization in Watts-Strogatz small-world neuronal networks. , 2017, Chaos.

[2]  Jun Tang,et al.  A review for dynamics in neuron and neuronal network , 2017, Nonlinear Dynamics.

[3]  Xianbin Liu,et al.  Effects of distance-dependent delay on small-world neuronal networks. , 2016, Physical review. E.

[4]  Ma Jun,et al.  A review for dynamics of collective behaviors of network of neurons , 2015 .

[5]  R. Monasson,et al.  Transitions between Spatial Attractors in Place-Cell Models. , 2015, Physical review letters.

[6]  Shahriar Gharibzadeh,et al.  Artificial neural network-based modeling of brain response to flicker light , 2015, Nonlinear Dynamics.

[7]  Guanping Wang,et al.  Synchronous firing patterns and transitions in small-world neuronal network , 2015 .

[8]  V. Booth,et al.  Synchronization properties of heterogeneous neuronal networks with mixed excitability type. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Jun Ma,et al.  Pattern selection in neuronal network driven by electric autapses with diversity in time delays , 2015 .

[10]  Wulfram Gerstner,et al.  Neuronal Dynamics: From Single Neurons To Networks And Models Of Cognition , 2014 .

[11]  Yong Chen,et al.  Effect of an autapse on the firing pattern transition in a bursting neuron , 2014, Commun. Nonlinear Sci. Numer. Simul..

[12]  Dong Yu,et al.  Deep Learning: Methods and Applications , 2014, Found. Trends Signal Process..

[13]  Jonathan Touboul,et al.  Synchronization in random balanced networks. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Eckehard Schöll,et al.  Control of synchronization patterns in neural-like Boolean networks. , 2012, Physical review letters.

[15]  M. Perc,et al.  Complex synchronous behavior in interneuronal networks with delayed inhibitory and fast electrical synapses. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Guoning Tang,et al.  Synchronization in a chaotic neural network with time delay depending on the spatial distance between neurons. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Jiqian Zhang,et al.  Firing patterns transition induced by system size in coupled Hindmarsh-Rose neural system , 2011, Neurocomputing.

[18]  I Kanter,et al.  Synchronization of chaotic networks with time-delayed couplings: an analytic study. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  Guanrong Chen,et al.  Impact of delays and rewiring on the dynamics of small-world neuronal networks with two types of coupling , 2010 .

[20]  Z. Duan,et al.  Synchronization transitions on scale-free neuronal networks due to finite information transmission delays. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Mahdi Jalili,et al.  Synchronizing Hindmarsh-Rose neurons over Newman-Watts networks. , 2009, Chaos.

[22]  I Kanter,et al.  Synchronization of networks of chaotic units with time-delayed couplings. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  Guanrong Chen,et al.  Synchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability , 2008 .

[24]  Z. Duan,et al.  Delay-enhanced coherence of spiral waves in noisy Hodgkin–Huxley neuronal networks , 2008 .

[25]  Cees van Leeuwen,et al.  Robust emergence of small-world structure in networks of spiking neurons , 2007, Cognitive Neurodynamics.

[26]  Martin Hasler,et al.  Synchronization of bursting neurons: what matters in the network topology. , 2005, Physical review letters.

[27]  Mingzhou Ding,et al.  Enhancement of neural synchrony by time delay. , 2004, Physical review letters.

[28]  J. Hindmarsh,et al.  A model of neuronal bursting using three coupled first order differential equations , 1984, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[29]  W. K. Hastings,et al.  Monte Carlo Sampling Methods Using Markov Chains and Their Applications , 1970 .