  In this work, a mathematical model of self-oscillatory dynamics of the
metabolism in a cell is studied. The full phase-parametric characteristics of
variations of the form of attractors depending on the dissipation of a kinetic
membrane potential are calculated. The bifurcations and the scenarios of the
transitions {\guillemotleft}order-chaos{\guillemotright},
{\guillemotleft}chaos-order{\guillemotright} and
{\guillemotleft}order-order{\guillemotright} are found. We constructed the
projections of the multidimensional phase portraits of attractors, Poincar\'e
sections, and Poincar\'e maps. The process of self-organization of regular
attractors through the formation torus was investigated. The total spectra of
Lyapunov exponents and the divergences characterizing a structural stability of
the determined attractors are calculated. The results obtained demonstrate the
possibility of the application of classical tools of nonlinear dynamics to the
study of the self-organization and the appearance of a chaos in the metabolic
process in a cells.
