Various electromagnetic surface modes along a finite area dielectric i
nterface can sustain large area overdense plasmas. Mode jumps between
these modes have been reported when changing the gas pressure. In this
paper we report similar mode jumps caused by changing the wave power
at fixed gas pressure. A simple theoretical analysis is proposed to ex
plain this phenomenon on the basis of the resonance behavior of the ch
amber impedance and a stability criterion is formulated. The theory pr
edicts a hysteresis in the power-density dependence, which was also ob
served experimentally.