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Dimensional
Analysis of Nonlinear Oscillations in Brain, Heart and MuscleG. Mayer-Kress **t'n,F. Eugene Yatest, Laurel Bentont, M. Keidel", W. Tirsch", S.J, Poppl", K. Geistti'" AkdJA we p=nt~me numerical studies on the dimensional analysis of temporal oscillations measured in the human electroencephalogram (EEG ), heart rates (HR), and muscle tremor. We show that it is insticient to characterize the individual system by a singledimension value alone. We give some detailed numerical analysis 01'the scaling structure of the attractors reconstructed from the time signal.Our methods are baaed on the concept of local gauge functions which we derive from the raw signals M well aa from the transformed signal obtained from singular value decomposetiokL. We were able to confkm and improve earlier results on the change of dimensiondit y of EEG signals, For heart rates and muscle tremor we obseme significant changes in the dimtwkxmlity aepending on the state of the eystem, We further try to indicate which factora enter dimension estimates and where specific problems lie in each of the examples, q