Choice of dynamical variables for global reconstruction of model equations from time series.

The success of modeling from an experimental time series is determined to a significant extent by the choice of dynamical variables. We propose a method for preliminary investigation of a time series whose purpose is to find out whether a global dynamical model with smooth functions can be constructed for the chosen variables. The method consists in the estimation of single valuedness and continuity of relations between dynamical variables and variables to enter left-hand sides of model equations.

Experimental observation of dynamics near the torus-doubling terminal critical point.

A nonlinear electronic circuit driven by two signals with golden mean frequency ratio is studied. We have observed different dynamical regimes, including tori, doubled tori, strange nonchaotic attractors, and chaos, which all meet together at the critical point terminating the torus-doubling bifurcation curve (TDT point) in the parameter plane of the system. The parameter plane arrangement, spectra, and portraits of attractors observed in the experiment are in reasonable coincidence with numerical computations for a quasiperiodically forced logistic map, where the TDT critical point originally has been found and studied theoretically [S.

Corticosteroidal regulation of the glucocorticoid-binding capacity of rat heart cytoplasmic fraction.

The effects were studied of variations in blood corticosteroid levels on the glucocorticoid-binding capacities of two types of complex-forming substances, whose presence in the myocardium had been established in previous studies. The hormone binding was assessed by the method of adsorption of free forms of steroids on activated dextrancoated charcoal with application of Scatchard's analysis. The binding capacity was tested both in the presence of endogenous steroids and in cytoplasmic fraction made free of the hormones.