  The linear viscoelastic behavior of the red blood cell membrane of mammal and
human was studied in previous works proposing different experimental methods to
determine their viscoelastic parameters. In the present work the nonlinear
component of dynamic viscosity of the red blood cell membrane by nonlinear time
series analysis is used. For such aim, it obtained time series of test in vitro
of samples of humans and rats red blood cells using the Erythrodeformeter in
oscillating regime. The signal filtrate suppresses any linear behavior as well
as represented by a system of linear ordinary differential equations. The test
shown as much in humans as in rats resonance frequencies associated to an
attractor of unknown nature independently of excitation in the physiological
range. The preliminary studies shown that attractor could be correspond to a
complex form bull. These results allow to extend the present knowledge on
dynamic of the cellular membrane to similar stimulus which happens in the blood
circulation and it will allows to make better models of the same one.
