ROBUST HOPF-TURING MIXED-MODE IN OPTICAL FREQUENCY-CONVERSION SYSTEMS

Citation
M. Tlidi et M. Haelterman, ROBUST HOPF-TURING MIXED-MODE IN OPTICAL FREQUENCY-CONVERSION SYSTEMS, Physics letters. A, 239(1-2), 1998, pp. 59-64
Citations number
17
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
239
Issue
1-2
Year of publication
1998
Pages
59 - 64
Database
ISI
SICI code
0375-9601(1998)239:1-2<59:RHMIOF>2.0.ZU;2-E
Abstract
We consider the interaction of Hopf and Turing bifurcations in dispers ive optical frequency conversion systems. Normal form reduction is per formed to investigate the dynamics of the Hopf-Turing mixed-mode. The important issue of our analysis is to reveal the predominance of the m ixed-mode over the pure Hopf and Turing modes. This result strongly co ntrasts with those of previous studies and opens up new possibilities for the observation of Hopf-Turing mixed-modes in practical systems. ( C) 1998 Elsevier Science B.V.