Synergetics

This work explores a variety of concepts in synergetics, focusing on mathematical and physical principles governing cooperative systems. It examines stability criteria in non-equilibrium thermodynamics, relaxation, and fluctuations of macrovariables, and introduces new methods in non-equilibrium statistical mechanics. The text discusses linear non-Markovian processes, fluctuations near phase transitions, and instabilities in systems far from thermal equilibrium, including phenomena in lasers and nonlinear optics. It also delves into dynamics of current instabilities and cooperative phenomena in data processing, alongside theories of dissipative structures. Biochemical kinetics and population dynamics are explored through a Gibbs ensemble approach, with models addressing population growth, diffusion, competition, and rearrangement. The self-organization of nucleic acids and the evolution of genetic apparatus are examined, along with computer simulations of helix-coil transitions and mechanisms of pattern recognition in insect visual systems. Additionally, it presents a cooperative model of stereoscopic depth perception and transitions in biological membranes, alongside a model for muscle contraction. The organization and long-range selective interactions in biological and pumped systems are analyzed, as well as nonlinear transport's role in biological understanding. The work concludes with discussions on hierarchical structur