  The scaling property of the brain dynamics is studied based on the
zero-crossing of the local electroencephalographic (EEG) recording taken from
healthy young adults in eyes closed and eyes open. Evidence of coupling between
the EEG fractal dynamics and the $\alpha$ rhythm is presented. An organization
principle that governs this coupling relationship is proposed. In the $\alpha$
dominant brain state, a possible interpretation using the self-organized
criticality similar to the punctuated equilibrium is discussed.
