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Accession number;03A0864369
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| Title;Bifurcation analysis of synaptically coupled neuronal model |
| Author;
YOSHINAGA TETSUYA
(School of Health Sci., Univ. Tokushima, JPN)
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Journal Title;Shikoku Acta Medica
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Journal Code:G0586A
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ISSN:0037-3699
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VOL.59;NO.4/5;PAGE.228-234(2003)
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| Figure&Table&Reference;FIG.6, REF.16 |
| Pub. Country;Japan |
| Language;Japanese |
| Abstract;We investigate bifurcations of periodic solutions in model equations of neurons coupled through the characteristics of synaptic transmissions with a time delay. The model can be considered as a dynamical system whose solution includes jumps depending on a condition related to the behavior of the trajectory. Although the solution is discontinuous, we can define the Poincare map as a synthesis of successive submaps, and give its derivatives for obtaining periodic points and their bifurcations. Using our proposed method, we clarify mechanisms of bifurcations among synchronized oscillations with phase-locking patterns by analyzing periodic solutions observed in a model of coupled Hodgkin-Huxley equations. Moreover we illustrate a mechanism of the generation of chaotic itinerancy or the phenomenon of chaotic transitions among several quasi-stable states, which corresponds to associative dynamics or memory searching process in real neurons, by the analysis of four-coupled Bonhoeffer-van der Pol equations. (author abst.) |
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