6533b822fe1ef96bd127d613

RESEARCH PRODUCT

Closed Busse balloon for rolls and skew-varicose instability in a Swift-Hohenberg model with nonlinear resonance

Germán J. De ValcárcelVíctor J. Sánchez-morcillo

subject

Physics::Fluid DynamicsConvectionPhysicsClassical mechanicsZigzagNonlinear resonanceSkewGeneral Physics and AstronomyNonlinear opticsParameter spaceBalloonNonlinear Sciences::Pattern Formation and SolitonsInstability

description

Abstract A Swift-Hohenberg model incorporating a nonlinear resonance is shown to produce stable rolls only in a closed region of the parameter space. This Busse balloon is limited by zigzag and Eckhaus boundaries. A skew-varicose instability outside the balloon also exists. Implications with nonlinear optics and hydrodynamic convection are commented.

yearjournalcountryeditionlanguage
1998-09-01Physics Letters A
https://doi.org/10.1016/s0375-9601(98)00502-7