On Mathematics of Bubbles in Dynamical Systems

TL;DR

This paper introduces the biased derivative, a novel mathematical concept aimed at enhancing understanding and modeling of bubble formation in dynamical systems.

Contribution

The paper proposes the biased derivative as a new tool to analyze and model bubbles in dynamical systems, offering potential insights into their formation.

Findings

Biased derivative provides a new perspective on bubble dynamics.

Potential for improved modeling of bubbles in complex systems.

Lays groundwork for further research in dynamical systems analysis.

Abstract

A new concept called biased derivative is proposed. It has a potential to better understand and model some aspects of dynamical systems associated with creating bubbles.