Generic Hopf bifurcation from lines of equilibria without parameters: II. Systems of viscous hyperbolic balance laws

Authors
Fiedler, B Liebscher, S
Citation
B. Fiedler et S. Liebscher, Generic Hopf bifurcation from lines of equilibria without parameters: II. Systems of viscous hyperbolic balance laws, SIAM J MATH, 31(6), 2000, pp. 1396-1404
Citations number
9
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN journal
00361410 → ACNP
Volume
31
Issue
6
Year of publication
2000
Pages
1396 - 1404
Database
ISI
SICI code
0036-1410(20000617)31:6<1396:GHBFLO>2.0.ZU;2-T
Abstract
We investigate viscous shock profiles of the Riemann problem for systems of hyperbolic balance laws. Even strictly hyperbolic flux terms together with a nonoscillating kinetic part can lead to oscillating viscous shock profil es. They appear near a Hopf-like bifurcation point of the traveling wave eq uation.