부산대학교 도서관

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.
Author(s): Junbo Jia [1]; Pan Yang [2]; Huaiping Zhu [3]; Zhen Jin [4]; Jinqiao Duan [5]; Xinchu Fu (corresponding author) [6,*] 1. Introduction Bistability is a common phenomenon in everyday [...]