We present a systematic study of spiral waves in the Belousov-Zhabotin
sky reaction in a spatial open reactor, where the concentrations of su
lfuric acid, sodium bromate, and malonic acid are varied. Within this
parameter space, three kinds of instabilities arise: two of them, whic
h we identify as the retracting wavefront and convective instabilities
, lead to the destruction of the spiral pattern, and mark the boundari
es of the spiral existence domain in parameter space. Inside this doma
in, there exists a region where simply rotating spirals undergo the me
andering instability. Quantitative measurements of the asymptotic char
acteristics of simple spirals provide scaling relations between the ob
servables: the pitch varies as the square root of the period. They bot
h diverge with simple exponents at the retracting wavefront instabilit
y. This organization, reminiscent of a second order phase transition,
allows us to consider the spiral a critical pattern. Comparison with s
everal models and numerical simulations indicates the validity or disc
repancies of applying these theoretical approaches to our experimental
results.