Introduction to Focus Issue: Topics in Nonlinear Science

TL;DR

This focus issue celebrates David K. Campbell's 80th birthday by showcasing influential nonlinear science topics, including network dynamics, machine learning, quantum systems, chaos, and living systems, highlighting recent advances and future directions.

Contribution

It compiles a diverse collection of reviews, original research, and perspectives on key nonlinear science topics, many stemming from Campbell's research influence.

Findings

Introduction of new phenomena in nonlinear systems

Development of novel methods in network dynamics and chaos

Insights into future research directions in nonlinear science

Abstract

Nonlinear science has evolved significantly over the 35 years since the launch of the journal Chaos. This Focus Issue, dedicated to the 80th Birthday of its founding editor-in-chief, David K. Campbell, brings together a selection of contributions on influential topics, many of which were advanced by Campbell's own research program and leadership role. The topics include new phenomena and method development in the realms of network dynamics, machine learning, quantum and material systems, chaos and fractals, localized states, and living systems, with a good balance of literature review, original contributions, and perspectives for future research.