We discuss a notion of information processing in brain and behavioral dynamics, in particular the processing of meaningful information, which is testable by means of an experimental coordination and transition paradigm. Two hypotheses on the existence and persistence of mappings between the dynamics of behavioral and brain signals are formulated. A mathematical foundation for the first hypothesis is suggested by means of Volterra integral expansions and by means of excitable systems. Brain signals are captured as cortical currents, as well as the resulting scalp topographies, such as electroencephalograms (EEG) and magnetoencephalograms (MEG). Experimental evidence is provided to support the hypothesis on the existence of such spatiotemporal mappings between behavioral and brain signals.,