D. Vergni et al., SPATIAL COMPLEX BEHAVIOR IN NONCHAOTIC FLOW SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(5), 1997, pp. 6170-6172
The convective instability induces the phenomenon of spatial sensitivi
ty to the boundary conditions. We introduce a quantity, the ''spatial'
' Lyapunov exponent, to characterize this kind of complex behavior, in
nonchaotic but convectively unstable flow systems. Then we establish
a relation between this spatial-complexity index and the comoving Lyap
unov exponent.