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Bifurcation Analysis and Transition Mechanism in a Modified Model of Ca$^{2+}$ Oscillations |
| Quan-Bao Ji1, Zhuo-Qin Yang2, Fang Han3** |
1School of Finance, Huainan Normal University, Huainan 232038
2School of Mathematics and Systems Science and LMIB, Beihang University, Beijing 100191
3College of Information Science and Technology, Donghua University, Shanghai 201620
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| Cite this article: |
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Quan-Bao Ji, Zhuo-Qin Yang, Fang Han 2017 Chin. Phys. Lett. 34 080501 |
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Abstract Some new elements are introduced into a mathematical model of intracellular calcium oscillations, which make it particularly suitable for the study of bifurcation. In addition to generating regular oscillations, such a modified model can be used to reproduce the burst discharges similar to those recorded in experiments and to describe two new types of oscillatory phenomena. By means of a fast/slow dynamical analysis, we explore the bifurcation and transition mechanisms associated with two types of bursters due to changes in the interaction of two slow variables with different timescales.
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Received: 10 April 2017
Published: 22 July 2017
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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82.40.Bj
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(Oscillations, chaos, and bifurcations)
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| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11372017, 11572084 and 11472061, the Natural Science Foundation for the Higher Education Institutions of Anhui Province under Grant No KJ2016SD54, the Fundamental Research Funds for the Central Universities, and the Distinguished Young Professor Program of Donghua University under Grant No 16D210404. |
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