×

Response characteristics of the BVP neuron model to periodic pulse inputs. (English) Zbl 0825.92046


MSC:

92C20 Neural biology
Full Text: DOI

References:

[1] Aihara, K.; Matsumoto, G.; Ikegaya, Y., Periodic and non-periodic responses of a periodically forced Hodgkin-Huxley oscillator, J. Theor. Biol., 109, 249-269 (1984)
[2] Doi, S., A chaotic map with a flat segment can produce a noise-induced order, J. Stat. Phys., 55, 941-964 (1989)
[3] FitzHugh, R., Impulses and physiological states in theoretical models of nerve membrane, Biophys. J., 1, 445-466 (1961)
[4] Hadeler, K. P.; an der Heiden, U.; Schumacher, K., Generation of the nervous impulse and periodic oscillations, Biol. Cybern., 23, 211-218 (1976) · Zbl 0352.92006
[5] Harmon, L. D., Studies with artificial neurons, I. Properties and functions of an artificial neuron, Kybernetik, 1, 89-101 (1961)
[6] Nagumo, J.; Sato, S., On a response characteristic of a mathematical neuron model, Kyberbetik, 10, 155-164 (1972) · Zbl 0235.92001
[7] Nagumo, J.; Arimoto, S.; Yoshizawa, S., An active pulse transmission line simulating nerve axon, Proc. IRE, 50, 2061-2071 (1962)
[8] Perkel, D. H.; Bullock, T. H., Neural coding, Neurosci. Res. Prog. Bull., 6, 3, 221-348 (1968)
[9] Perkel, D. H.; Schulman, J. H.; Bullock, T. H.; Moore, G. P.; Segundo, J. P., Pacemaker neurons: effects of regularly spaced synaptic inputs, Science, 145, 61-63 (1964)
[10] Rajaseker, S.; Lakshmanan, M., Period doubling route to chaos for a BVP oscillator with periodic external force, J. Theor. Biol., 133, 473-477 (1988)
[11] Rajaseker, S.; Lakshmanan, M., Period-doubling bifurcations, chaos, phase-locking and devil’s staircase in a Bonhoeffer-van der Pol oscillator, Physica D, 32, 146-152 (1988) · Zbl 0658.58025
[12] Segundo, J. P.; Altshuler, E.; Stiber, E.; Garfinkel, A., Periodic inhibition of living pacemaker neurons: I. Locked, intermittent, messy and hopping behaviors, Int. J. Bifurcation Chaos, 1, 3, 549-581 (1991) · Zbl 0875.92020
[13] Takabe, T.; Aihara, K.; Matsumoto, G., Response characteristics of the Hodgkin-Huxley equations to pulse-train stimulus, Trans. Inst. Elect., Inf. Commun. Eng. J, 71-A, 744-750 (1988)
[14] Takahashi, N.; Hanyu, Y.; Musha, T.; Matsumoto, G., Global bifurcation structure in periodically stimulated giant axons of squid, Physica D, 43, 318-324 (1990) · Zbl 0704.92007
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.