Large scale instability of nonlinear standing waves

P. Coullet , S. Fauve , E. Tirapegui

We present the nonlinear phase equations describing the stability of a time-periodic one-dimensional spatial pattern, that arises in a system which is invariant by space and time translations and space reflection symmetry. We show that a large scale oscillatory instability can occur, leading to a quasiperiodic temporal regime with two different spatial scales.

Mots clés: waves; time aperiodic spatial pattern; supercritical bifurcation; nonlinear standing waves; nonlinear phase equations; stability; one dimensional spatial pattern; large scale oscillatory instability; quasiperiodic temporal regime

Domaines: Articles anciens

P. Coullet, S. Fauve, E. Tirapegui. Large scale instability of nonlinear standing waves. Journal de Physique Lettres, 1985, 46 (17), pp.787-791. ⟨10.1051/jphyslet:019850046017078700⟩. ⟨jpa-00232899⟩