Non-potential phase transitions induced by dynamical traps

Abstract

Phase transitions in a chain of oscillators with dynamical traps is studied numerically. The notion of dynamical traps mimics the basic features caused by the bounded capacity of human cognition in decision-making. In mathematical terms the dynamical traps form a "low" dimensional region in the phase space of a given system where its dynamics is stagnated. It is demonstrated that in the system under consideration noise gives rise to complex emergent phenomena as its intensity grows.