1Introduction

After decades of development, people are no longer strange to chaos, but how to correctly understand and study chaos and its application is still the main task of academic circles. As we all know, chaos is nonlinear, while what we know well is linear. What is the relationship between them? The discussion begins here.

1.1Linear, Nonlinear, and Chaos

Linear and nonlinear are used to explain the relationship between function y = f(x) and an independent variable x. To be specific, linear refers to the proportional relationship between two independent variables. It represents regular and smooth movement in space and time. However, nonlinear refers to the disproportionate relationship between two dependent variables. It represents irregular ...

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