Dependence upon initial conditions

TL;DR

This paper explores how initial conditions influence outcomes in natural and social sciences, emphasizing the recently identified concept of rough dependence on initial data, particularly in physical sciences.

Contribution

It introduces the concept of rough dependence on initial data, expanding understanding of sensitivity in physical systems.

Findings

Identification of rough dependence as a key factor

Implications for predictability in physical sciences

Enhanced understanding of initial condition sensitivity

Abstract

This article discusses dependence on initial conditions in natural and social sciences with focus on physical science. The main focus is on the newly discovered rough dependence on initial data.