Topological Constraints on Scroll and Spiral Waves in Excitable Media

Hong Zhang, Bambi Hu, Bing Wei Li, Yi Shi Duan

Research output: Contribution to journalJournal articlepeer-review

17 Citations (Scopus)

Abstract

A conservation equation for topological charges of phase singularities (scroll and spiral waves) in excitable media is given. It provides some topological properties of scroll (spiral) waves: for example, the topological charge of the generated or annihilated spiral pair must be opposite. Additionally, we obtain another equation on scroll waves, which shows that singular filaments of scroll waves occur on a set of one-dimensional curves which may be either closed loops or infinite lines.

Original languageEnglish
Pages (from-to)1618-1621
Number of pages4
JournalChinese Physics Letters
Volume24
Issue number6
DOIs
Publication statusPublished - Jun 2007

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