The chaotic influence of convinced elements on routing collective opinion and appearance of butterfly effect

Abstract

The study touches on the impact of the presence of convinced opinion for some of intelligent agents during the voting on formation the final collective opinion in a community G consists of autonomous agents, every intelligent agent have his opinion 0 or 1 On a thoughtful topic, between these agents happening an interaction[1], by entering into a collective debate[2], this interaction we will call 'voting', especially in the community, when the number of elements that have opinion 0, convergent compared with the number of elements that have different opinion 1 during the voting where this state of society is close to an unstable equilibrium point, this state will change during voting process, to close to one of two stability points 0 or 1 according to a previous study, presence convinced opinion intelligent agents, would later lead to a chaotic change in the final result of the voting[3], this chaotic change is called the “Butterfly Effect”[4,5], this influence can occur in many fields, market movements and economics, social life, mathematical problems, technological topics, movement of a driverless or;.