Towards Noised-Induced Phase Transitions in Systems of Elements with Motivated Behavior

TL;DR

This paper explores a novel type of phase transition induced by noise in systems of elements exhibiting motivated behavior, demonstrated through numerical analysis of oscillatory systems and their chains.

Contribution

It introduces the concept of noised-induced phase transitions in motivated systems and provides numerical evidence using simple oscillatory models.

Findings

Identification of noised-induced phase transitions in motivated systems

Numerical analysis of oscillatory systems with additive white noise

Preliminary study of chain systems of oscillators

Abstract

A new type of noised-induced phase transitions that should occur in systems of elements with motivated behavior is considered. By way of an example, a simple oscillatory system {x,v} with additive white noise is analyzed numerically. A chain of such oscillators is also studied in brief.