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Chaotic oscillations in a map-based model of neural activity
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10.1063/1.2795435
/content/aip/journal/chaos/17/4/10.1063/1.2795435
http://aip.metastore.ingenta.com/content/aip/journal/chaos/17/4/10.1063/1.2795435
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The parameter region defined by inequalities (9) and (12) .

Image of FIG. 2.
FIG. 2.

The region on the plane with Eqs. (9) and (10) .

Image of FIG. 3.
FIG. 3.

The dynamics of the map with , , , , for regions: (a) , , (b) , , (c) , , (d) , .

Image of FIG. 4.
FIG. 4.

(a) The chaotic attractor on the phase plane . (b) Waveform of relaxation spike-bursting oscillations generated by the map . Parameter values: , , , , , , .

Image of FIG. 5.
FIG. 5.

Fractal dimension of the attractor vs parameter . Parameter values: , , , , , .

Image of FIG. 6.
FIG. 6.

(a) The ring-like invariant region . (b) The image of the region under action of the map . (c) The image of the region under action of the map .

Image of FIG. 7.
FIG. 7.

(a) Parameter region on the parameter plane , parameter values: , , , , . (b) Fractal dimension of the attractor vs parameter , .

Image of FIG. 8.
FIG. 8.

(a) Chaotic attractor on the phase plane . (b) Spike-bursting oscillations generated by the map . Parameters value , , , , , , .

Image of FIG. 9.
FIG. 9.

Response of the model (3) to positive pulse : (a) three different amplitudes of the stimulus; (b) the behavior of variable (membrane potential of neuron); (c) the phase plane. Parameter values: , , , , , , .

Image of FIG. 10.
FIG. 10.

(a) Close invariant curves on the phase plane . (b) Subthreshold oscillations generated by map . Parameter values: , , , , , , .

Image of FIG. 11.
FIG. 11.

(a) “Two-channels” chaotic attractor . (b) Chaotic spiking against the background subthreshold oscillations. Parameter values: , , , , , , .

Image of FIG. 12.
FIG. 12.

(a) Close invariant curve. (b) Tonic spiking. Parameter values: , , , , , .

Image of FIG. 13.
FIG. 13.
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/content/aip/journal/chaos/17/4/10.1063/1.2795435
2007-10-26
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Chaotic oscillations in a map-based model of neural activity
http://aip.metastore.ingenta.com/content/aip/journal/chaos/17/4/10.1063/1.2795435
10.1063/1.2795435
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