Ma J, Wu J. (2007). Multistability in spiking neuron models of delayed recurrent inhibitory loops. Neural computation. 19 [PubMed]

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References and models cited by this paper

Canavier CC, Baxter DA, Clark JW, Byrne JH. (1994). Multiple modes of activity in a model neuron suggest a novel mechanism for the effects of neuromodulators. Journal of neurophysiology. 72 [PubMed]

Canavier CC et al. (1997). Phase response characteristics of model neurons determine which patterns are expressed in a ring circuit model of gait generation. Biological cybernetics. 77 [PubMed]

Douglas R, Bernasconi C, Schindler K, Stoop R, Goodman P. (1997). Chaotic spike patterns evoked by periodic inhibition of rat cortical neurons Z Naturforsch. 52

Feng J. (2001). Is the integrate-and-fire model good enough?--a review. Neural networks : the official journal of the International Neural Network Society. 14 [PubMed]

Foss J, Longtin A, Mensour B, Milton J. (1996). Multistability and delayed recurrent loops. Physical review letters. 76 [PubMed]

Foss J, Milton J. (2000). Multistability in recurrent neural loops arising from delay. Journal of neurophysiology. 84 [PubMed]

Hansel D, Mato G. (2001). Existence and stability of persistent states in large neuronal networks. Physical review letters. 86 [PubMed]

Hopfield JJ. (1982). Neural networks and physical systems with emergent collective computational abilities. Proceedings of the National Academy of Sciences of the United States of America. 79 [PubMed]

Hopfield JJ. (1984). Neurons with graded response have collective computational properties like those of two-state neurons. Proceedings of the National Academy of Sciences of the United States of America. 81 [PubMed]

Ikeda K, Matsumoto K. (1987). High-dimensional chaotic behavior in systems with time-delayed feedback Physica D. 29

Izhikevich EM, Hoppensteadt FC. (1997). Weakly Connected Neural Networks.

Kistler WM, Gerstner W. (2002). Spiking neuron models.

Latham PE, Richmond BJ, Nelson PG, Nirenberg S. (2000). Intrinsic dynamics in neuronal networks. I. Theory. Journal of neurophysiology. 83 [PubMed]

Losson J. (1991). Multistability and probabilistic properties of delay differential equations Unpublished masters thesis, McGill University.

Losson Jm JM, Mackey MC, Longtin A. (1993). Solution multistability in first-order nonlinear differential delay equations. Chaos (Woodbury, N.Y.). 3 [PubMed]

Mackey MC, Glass L. (1977). Oscillation and chaos in physiological control systems. Science (New York, N.Y.). 197 [PubMed]

Mackey MC, Milton JG. (1987). Dynamical diseases. Annals of the New York Academy of Sciences. 504 [PubMed]

Mackey MC, an der Heiden U. (1982). The dynamics of production and destruction: Analytic insight into complex behaviour Math Biol. 16

Mackey MC, an der Heiden U. (1984). The dynamics of recurrent inhibition. Journal of mathematical biology. 19 [PubMed]

Milton J. (2000). Epilepsy: Multistability in a dynamic disease Self-organized biological dynamics and nonlinear control.

Morita M. (1993). Associative memory with non-monotone dynamics Neural Netw. 6

Moss F, Foss J, Milton J. (1997). Noise, multistability, and delayed recurrent loops Phys Rev E. 55

Traub RD, Miles R. (1991). Neuronal Networks Of The Hippocampus.

Wu J, Chen Y. (1999). Minimal instability and unstable set of a phase-locked periodic orbit in a delayed neural network Physica D. 134

Wu J, Chen Y. (2000). Limiting profiles of periodic solutions of neural with synaptic delays.

Wu J, Chen Y. (2001). Existence and attraction of a phase-locked oscillation in a delayed network of two neurons Differential Integral Equations. 14

Wu J, Chen Y. (2001). Slowly oscillating periodic solutions for a delayed frustrated network of two neurons J Math Appl. 259

Wu J, Chen Y. (2001). The asymptotic shapes of periodic solutions of a singular delay differential system J Differential Equations. 169

Wu J, Chen Y, Krisztin T. (2000). Connecting orbits from synchronous periodic solutions in phase-locked periodic solutions in a delay differential system J Differential Equations. 163

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Liu Y, Milton J, Campbell SA. (2019). Outgrowing seizures in Childhood Absence Epilepsy: time delays and bistability. Journal of computational neuroscience. 46 [PubMed]

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