ONE METHOD FOR RESTORING INHOMOGENEOUS ATTRACTORS

Several methods of restoration of phase portraits were applied to real experimental realizations a(t) of biological origin. The algorithms f or global reconstruction were used to create qualitative models of the regimes under study. The results of global modeling were satisfactory for the time series of simple shape, but in case of complicated inhom ogeneous realizations the traditional algorithms did not give reasonab le models. We suggest a method for restoration of inhomogeneous attrac tors on a(t) as follows: x(1)(t) = integral(0)(t) a(t)dt, x(2)(t) = a( t) while the other coordinates could be restored by any known methods (delay, differentiation, etc.). Such a representation of the attractor 's coordinates preserves a simple form of the first equation of the sy stem of differential equations sought dx(1)/dt = x(2). This method was tested first on an artificially produced inhomogeneous realization co ntaining pieces with very slow and very quick motion. After that it wa s successfully applied to real biological inhomogenous realizations.