多项式虚影爆发模型快速子系统的Hopf分岔分析

IF 0.6 Q3 MATHEMATICS

Dolomites Research Notes on Approximation Pub Date : 2018-01-01 DOI:10.14658/PUPJ-DRNA-2018-3-2

I. M. Bulai, M. G. Pedersen

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引用次数: 2

摘要

引入幻相爆发来解释不同时期β细胞的爆发电活动。我们研究了一个多项式版本的虚影爆破模型。我们特别分析了快速子系统，其中最慢的变量被假设为常数。找到了快速子系统的平衡点，并对其稳定性进行了分析。此外，通过研究第一Lyapunov系数的符号，对Hopf分岔点的存在性和周期的稳定性进行了解析分析。

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Hopf bifurcation analysis of the fast subsystem of a polynomial phantom burster model

Phantom bursters were introduced to explain bursting electrical activity in β -cells with different periods. We study a polynomial version of the phantom bursting model. In particular we analyse the fast subsystem, where the slowest variable is assumed constant. We find the equilibrium points of the fast subsystem and analyse their stability. Furthermore an analytical analysis of the existence of Hopf bifurcation points and the stability of the resulting periodics is performed by studying the sign of the first Lyapunov coefficient.

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来源期刊

Dolomites Research Notes on Approximation MATHEMATICS-

CiteScore

1.70

自引率

7.70%

发文量

审稿时长

8 weeks

期刊介绍： Dolomites Research Notes on Approximation is an open access journal that publishes peer-reviewed papers. It also publishes lecture notes and slides of the tutorials presented at the annual Dolomites Research Weeks and Workshops, which have been organized regularly since 2006 by the Padova-Verona Research Group on Constructive Approximation and Applications (CAA) in Alba di Canazei (Trento, Italy). The journal publishes, on invitation, survey papers and summaries of Ph.D. theses on approximation theory, algorithms, and applications.