arXiv subjects

Nicolas Garnier

Publications and source records attributed to Nicolas Garnier.

20 records · Page 2Linked to original sources

arXiv2002

Convective and absolute Eckhaus instability leading to modulated waves in a finite box

We report experimental study of the secondary modulational instability of a one-dimensional non-linear traveling wave in a long bounded channel. Two qualitatively different instability regimes involving fronts of spatio-temporal defects are linked to the convective and absolute nature of the instability. Both transitions appear to be subcritical. The spatio-temporal defects control the global mode structure.

nlin.PS↗

arXiv2002

Stationary modulated-amplitude waves in the 1-D complex Ginzburg-Landau equation

We reformulate the one-dimensional complex Ginzburg-Landau equation as a fourth order ordinary differential equation in order to find stationary spatially-periodic solutions. Using this formalism, we prove the existence and stability of stationary modulated-amplitude wave solutions. Approximate analytic expressions and a comparison with numerics are given.

nlin.PS↗