Bifurcation analysis of a silicon neuron

Advances in Neural Information Processing Systems

Volumn , Issue , 2000, Pages 731-737

  Patel, Girish N ^a   Cymbalyuk, Gennady S ^b   Calabrese, Ronald L ^b   DeWeerth, Stephen P ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b EMORY UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); MATHEMATICAL MODELS; NEURONS;

BIFURCATION ANALYSIS; CIRCUIT IMPLEMENTATION; EXTERNALLY APPLIED CURRENT; SILICON NEURON; STATE-VARIABLE SYSTEMS;

SILICON;

EID: 84898970753     PISSN: 10495258     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. Van Der Pol, B (1939) Biological rhythms considered as relaxation oscillations In H. Bremmer and C.J. Bouwkamp (eds) Selected Scientific Papers, Vol 2, North Holland Pub. Co., 1960.
2. Mead, CA. Analog VLSI and Neural Systems. Addison-Wesley, Reading, MA, 1989.
3. Simoni, M.F., Patel, G.N., DeWeerth, S.P., & Calabrese, R.L. Analog VLSI model of the leech heartbeat elemental oscillator. Sixth Annual Computational Neuroscience Meeting, 1997. in Big Sky, Montana.
4. DeWeerth, S., Patel, G., Schimmel, D., Simoni, M. and Calabrese, R. (1997). In Proceedings of the Seventeenth Conference on Advanced Research in VLSI, R.B. Brown and A.T. Ishii (eds), Los Alamitos, CA: IEEE Computer Society, 182-200.
5. Marder, E. & Calabrese, R.L. (1996) Principles of rhythmic motor pattern generation. Physiological Reviews 76 (3): 687-717.
6. Kopeli, N. & Ermentrout, B. (1988) Coupled oscillators and the design of central pattern generators. Mathematical biosciences 90: 87-109.
7. Skinner, F.K., Turrigiano, G.G., & Marder, E. (1993) Frequency and burst duration in oscillating neurons and two-cell networks. Biological Cybernetics 69: 375-383.
8. Skinner, F.K., Gramoli, S., Calabrese, R.L., Kopeli, N. & Marder, E. (1994) Frequency control in biological half-center oscillators. In EH. Eeckman (ed.), Computation in neurons and neural systems, pp. 223-228, Boston: Kluwer Academic Publishers.
9. Patel, G. Holleman, J., DeWeerth, S. Analog VLSI model of intersegmental coordination with nearest-neighbor coupling. In , 1997.
10. Patel, G. A neuromorphic architecture for modelling intersegmental coordination. Ph.D. dissertation, Georgia Institute of Technology, 1999.
11. J. Guckenheimer and P.Holmes. Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields. Applied Mathematical Sciences, 42. Springer-Verlag, New York, New York, Heidelberg, Berlin, 1983.
12. Morris, C. and Lecar, H. (1981) Voltage oscillations in the barnacle giant muscle fiber. Biophys. J, 35: 193-213.
13. Rinzel, J. & Ermentrout, G.B. (1989) Analysis of Neural Excitability and Oscillations. In C. Koch and I. Segev (eds) Methods in Neuronal Modeling from Synapses to Networks. MIT press, Cambridge, MA.
14. Khibnik, A.I., Kuznetsov, Yu.A., Levitin, V.V., Nikolaev, E.V. (1993) Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps. Physica D 62 (1-4): 360-367.