Vj. Sanchezmorcillo et Gj. Devalcarcel, CLOSED BUSSE BALLOON FOR ROLLS AND SKEW-VARICOSE INSTABILITY IN A SWIFT-HOHENBERG MODEL WITH NONLINEAR RESONANCE, Physics letters. A, 246(3-4), 1998, pp. 293-298
A Swift-Hohenberg model incorporating a nonlinear resonance is shown t
o produce stable rolls only in a closed region of the parameter space.
This Busse balloon is limited by zigzag and Eckhaus boundaries. A ske
w-varicose instability outside the balloon also exists. Implications w
ith nonlinear optics and hydrodynamic convection are commented. (C) 19
98 Elsevier Science B.V.