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Decay of regular static spherically symmetric solutions in the SU(2)Yang-Mills-dilaton (YMd) system of equations under the independent excitationof their unstable eigenmodes has been studied self-consistently in thenonlinear regime. The considered regular YMd solutions form a discrete familyand can be parametrised by the number $N=1,2,3,4...$ of their unstableeigenmodes in linear approximation. We have obtained strong numerical evidencesin favour of the following statements: i) all static YMd solutions are distinctlocal threshold configurations, separating blowup and scattering solutions; ii)the main unstable eigenmodes are only those responsible for theblowup/scattering alternative; iii) excitation of higher unstable eigenmodesalways leads to finite-time blowup; iv) the decay of the lowest N=1 static YMdsolution via excitation of its unique unstable mode is an exceptional casebecause the resulting waves propagate as a whole without energy dispersionrevealing features peculiar to solitons. Applications of the obtained resultsto Type-I gravitational collapse of massless fields are briefly discussed.

Blowup/scattering alternative for a discrete family of static critical solutions with various number of unstable eigenmodes