We are interested in the defects dynamics, in particular, the front solution which connect a homogeneous state with a pattern state. In 1986 Y. Pomeau pointed out that these fronts showed a zero speed in a finite region around the Maxwell point. It was conjectured that this could be due to nonadiabatic effect produced by nonresonant terms. Two years after D. Bensimon, B.I. Shraiman, and V. Croquette showed this in a particular case. Our aim is clarify in general the origin of this phenomenon and extend the results of the nonadiabatic effect to other problems.
People involved

Pierre Coullet (Institut non lineaire de Nice)
René Rojas Cortés (University of Chile)
Enrique Tirapegui (University of Chile)
Charles Tresser (IBM)

References

Y. Pomeau, Physica D 23 (1986), 3.
D. Bensimon, B.I. Shraiman, and V. Croquette, Phys. Rev. A 38 (1988), 5461.