Gluing unstable fronts and backs together can produce stable pulses

Björn Sandstede, Arnd Scheel

Research output: Contribution to journalArticlepeer-review

41 Scopus citations

Abstract

We investigate the stability of pulses that are created at T-points in reaction-diffusion systems on the real line. The pulses are formed by gluing unstable fronts and backs together. We demonstrate that the bifurcating pulses can nevertheless be stable, and establish necessary and sufficient conditions that involve only the front and the back for the stability of the bifurcating pulses.

Original languageEnglish (US)
Pages (from-to)1465-1482
Number of pages18
JournalNonlinearity
Volume13
Issue number5
DOIs
StatePublished - Sep 2000

Fingerprint Dive into the research topics of 'Gluing unstable fronts and backs together can produce stable pulses'. Together they form a unique fingerprint.

Cite this