Open systems in non-equilibrium: complexity, dynamics, modeling and mechanism

Abstract

This communication presents modeling of chaos in the context of mechanism and predictability of dynamic evolution. Basic reasons of temporal chaos on the basis of Lorenz, Rössler’s attractor, Parallel autocatalytic attractors and Chua’s circuit has been analyzed, and observed that primary factors responsible for chaos are (i) parallel auto-catalytic reaction or (ii) cross-catalysis (generation of x by y and generation of y by <i>x</i>) or (iii) combination of (i) and (ii). Applicability of modified Lorenz and Rössler models by combining (i) and (ii) has been discussed for socio-political and socio-economic systems. A bifurcation phenomenon in

chaotic social systems has also been analyzed.