The first 180 Lyapunov exponents for two-dimensional complex Ginzburg-Landau-type equation

Abstract

Dynamic patterns of three-dimensional double-diffusive convection in horizontally infinite liquid layer at large Rayleigh numbers have been simulated with the use of the previously derived system of complex Ginzburg-Landau-type amplitude equations valid in the neighborhoods of Hopf bifurcation points. For the special case of convection the first 180 Lyapunov exponents of the system have been calculated and 164 of them are positive. The spatial autocorrelation function is shown to be localized. Thus the system exhibits spatiotemporal chaos.