Saddle-node bifurcation: Appearance mechanism of pulses in the subcritical complex Ginzburg-Landau equation

O. Descalzi, M. Argentina, E. Tirapegui

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

The stationary, localized solutions in the complex subcritical Ginzburg-Landau equation in the region, where there existed coexistence of homogeneous attractors, were discussed. The asymptotical value of the phase gradient and the sizes of stable pulse were also determined. The appearance of pulses were found to be related to a saddle-node bifurcation.
Original languageAmerican English
Pages (from-to)156011-156014
Number of pages4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume67
Issue number1 2
StatePublished - 1 Jan 2003

Cite this