Evolution of chaotic dynamics of collective modes as a way of behavioral description of living systems

Complex and multi-dimensional biological systems possess a unique feature - a continuous, random motion of many components of the state vector (of living) systems x = x(t). Taking this property into consideration causes the denial of any known types of stationary modes (e.g., dx/dt = 0) and requires the revision of chaos. A new approach proposed to the understanding the living systems (as a third paradigm of natural science) and new methods for the study of living systems (as theory of chaos and self-organization). Common grounds of physics and theory of chaos and self- organization are revealed as a generalized uncertainty principle and limits on the parameters of quasi-attractors.