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Experimental observation of transition from chaotic bursting to chaotic spiking in a neural pacemaker
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10.1063/1.4810932
/content/aip/journal/chaos/23/2/10.1063/1.4810932
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/2/10.1063/1.4810932
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Bifurcation scenario of from period-1 bursting to period-1 spiking simulated in the Chay model when the parameter is chosen as different values with decreasing . Other parameter values are identical to Ref. (a) = − 77.5 mV; (b) = − 77 mV; (c) = −75 mV.

Image of FIG. 2.
FIG. 2.

Bifurcation scenario from period-1 bursting to period-1 spiking, beginning from period-doubling bifurcation as was decreased from 1.2 mM to 0 mM. (a) Bifurcation process. The first part was period-doubling bifurcation cascade from period-1 bursting, to period-2 bursting, to period-4 bursting; the second part was transition from chaotic bursting to chaotic spiking; the third part was from period-2 spiking to period-1 spiking; (b) a part of Fig. 1(a) , the transition from chaotic bursting to chaotic spiking.

Image of FIG. 3.
FIG. 3.

Spike trains of chaotic firings. (a) Bursting; (b) Spiking.

Image of FIG. 4.
FIG. 4.

Characteristics of the chaotic firing patterns. (a) First return map of ISI series of the chaotic bursting; (b) First return map of ISI series of the chaotic spiking; (c) of chaotic bursting; line with square ( = 3), down triangle ( = 4), triangle ( = 5), raw ISI data; line with circle, mean of 10 realizations of surrogate data; (d) of chaotic spiking; line with square ( = 3), down triangle ( = 4), triangle ( = 5), raw ISI data; line with circle, mean of 10 realizations of surrogate data.

Image of FIG. 5.
FIG. 5.

Bifurcation scenario from period-1 bursting to period-1 spiking beginning from period-doubling bifurcation as was increased from 5 mM to 10 mM. (a) Bifurcation process; the third part was from period-2 spiking to period-1 spiking; (b) The first part of Fig. 5(a) was period-adding bifurcation with chaotic bursting from period-1 bursting, to period-2 bursting, to period-4 bursting (forming a period-doubling bifurcation cascade), to chaotic bursting, to period-3 bursting; (c) A part of Fig. 5(a) , the transition from chaotic bursting to chaotic spiking.

Image of FIG. 6.
FIG. 6.

Bifurcation scenario from period-1 bursting to period-1 spiking beginning from period-adding sequence as was decreased from 1.2 mM to 0 mM. (a) Bifurcation process. The first part was period-adding sequences with stochastic burstings reaching period-5 bursting, in which period-1 bursting was changed to period-2 bursting via a stochastic bursting; (b) A part of Fig. 6(a) , the transition from chaotic bursting to chaotic spiking.

Image of FIG. 7.
FIG. 7.

Bifurcation scenario from period-1 bursting to period-1 spiking beginning from period-adding sequence as was increased from 5 mM to 10 mM. (a) Bifurcation process; the first part was period-adding sequence with stochastic burstings reaching period-5 bursting pattern; (b) A part of Fig. 7(a) , the transition from chaotic bursting to chaotic spiking.

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/content/aip/journal/chaos/23/2/10.1063/1.4810932
2013-06-12
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Experimental observation of transition from chaotic bursting to chaotic spiking in a neural pacemaker
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/2/10.1063/1.4810932
10.1063/1.4810932
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