LOCALLY CONTRACTIVE DYNAMICS IN GENERALIZED INTEGRATE-AND-FIRE NEURON MODELS∗
暂无分享,去创建一个
[1] Pauline van den Driessche,et al. A Contraction Argument for Two-Dimensional Spiking Neuron Models , 2012, SIAM J. Appl. Dyn. Syst..
[2] M. Sanjuán,et al. Map-based models in neuronal dynamics , 2011 .
[3] Yi Dong,et al. Event-related simulation of neural processing in complex visual scenes , 2011, 2011 45th Annual Conference on Information Sciences and Systems.
[4] Pierre Guiraud,et al. Integrate and fire neural networks, piecewise contractive maps and limit cycles , 2010, Journal of mathematical biology.
[5] Craig T. Jin,et al. A log-domain implementation of the Mihalas-Niebur neuron model , 2010, Proceedings of 2010 IEEE International Symposium on Circuits and Systems.
[6] Ruben Budelli,et al. Topological dynamics of generic piecewise continuous contractive maps in n dimensions , 2010, 1003.2674.
[7] Jonathan Touboul,et al. Spiking Dynamics of Bidimensional Integrate-and-Fire Neurons , 2009, SIAM J. Appl. Dyn. Syst..
[8] Ralph Etienne-Cummings,et al. A switched capacitor implementation of the generalized linear integrate-and-fire neuron , 2009, 2009 IEEE International Symposium on Circuits and Systems.
[9] Ernst Niebur,et al. A Generalized Linear Integrate-and-Fire Neural Model Produces Diverse Spiking Behaviors , 2009, Neural Computation.
[10] J. Deane,et al. PIECEWISE CONTRACTIONS ARE ASYMPTOTICALLY PERIODIC , 2008 .
[11] Nicolas Brunel,et al. Lapicque’s 1907 paper: from frogs to integrate-and-fire , 2007, Biological Cybernetics.
[12] B. Cessac. A discrete time neural network model with spiking neurons , 2007, Journal of mathematical biology.
[13] Julien Brémont,et al. Dynamics of injective quasi-contractions , 2005, Ergodic Theory and Dynamical Systems.
[14] M. Rypdal,et al. A piece-wise affine contracting mapwith positive entropy , 2005, math/0504187.
[15] Georgi S. Medvedev,et al. Reduction of a model of an excitable cell to a one-dimensional map , 2005 .
[16] Frank C. Hoppensteadt,et al. Classification of bursting Mappings , 2004, Int. J. Bifurc. Chaos.
[17] Eugene M. Izhikevich,et al. Which model to use for cortical spiking neurons? , 2004, IEEE Transactions on Neural Networks.
[18] Andrey Shilnikov,et al. Origin of Chaos in a Two-Dimensional Map Modeling Spiking-bursting Neural Activity , 2003, Int. J. Bifurc. Chaos.
[19] Nikolai F Rulkov,et al. Modeling of spiking-bursting neural behavior using two-dimensional map. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[20] Wassim M. Haddad,et al. Non-linear impulsive dynamical systems. Part I: Stability and dissipativity , 2001 .
[21] Jean-Jacques E. Slotine,et al. On Contraction Analysis for Non-linear Systems , 1998, Autom..
[22] Thomas A. Henzinger,et al. The theory of hybrid automata , 1996, Proceedings 11th Annual IEEE Symposium on Logic in Computer Science.
[23] Douglas Lind,et al. An Introduction to Symbolic Dynamics and Coding , 1995 .
[24] A. N. Sharkovskiĭ. COEXISTENCE OF CYCLES OF A CONTINUOUS MAP OF THE LINE INTO ITSELF , 1995 .
[25] Charles Tresser,et al. On the dynamics of quasi-contractions , 1988 .
[26] Bruce W. Knight,et al. Dynamics of Encoding in a Population of Neurons , 1972, The Journal of general physiology.
[27] J. Nagumo,et al. On a response characteristic of a mathematical neuron model , 1972, Kybernetik.
[28] W. Rudin. Principles of mathematical analysis , 1964 .