학술논문
Planar Bistable Structures Detection via the Conley Index and Applications to Biological Systems.
Document Type
Article
Author
Source
Subject
*BIOLOGICAL systems
*INVARIANT sets
*DYNAMICAL systems
*LIFE sciences
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Language
ISSN
2227-7390
Abstract
Bistability is a ubiquitous phenomenon in life sciences. In this paper, two kinds of bistable structures in two-dimensional dynamical systems are studied: one is two one-point attractors, another is a one-point attractor accompanied by a cycle attractor. By the Conley index theory, we prove that there exist other isolated invariant sets besides the two attractors, and also obtain the possible components and their configuration. Moreover, we find that there is always a separatrix or cycle separatrix, which separates the two attractors. Finally, the biological meanings and implications of these structures are given and discussed. [ABSTRACT FROM AUTHOR]