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Introduction to focus issue: Topics in nonlinear science.

Elizabeth Bradley1, Adilson E Motter2, Louis M Pecora3

  • 1Department of Computer Science, University of Colorado Boulder, Boulder, Colorado 80309-0430, USA and Santa Fe Institute, Santa Fe, New Mexico 87501, USA.

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Summary
This summary is machine-generated.

This collection celebrates 35 years of nonlinear science and David K. Campbell's contributions. It covers network dynamics, machine learning, and quantum systems, highlighting new research and future directions.

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Area of Science:

  • Nonlinear science and complex systems.

Background:

  • The journal Chaos has significantly advanced nonlinear science over 35 years.
  • This issue honors founding editor-in-chief David K. Campbell's 80th birthday and his research contributions.

Purpose of the Study:

  • To present a collection of influential topics in nonlinear science.
  • To showcase advancements in areas significantly impacted by Campbell's research and leadership.
  • To provide a balance of reviews, original research, and future perspectives.

Main Methods:

  • A curated selection of contributions from leading researchers.
  • Inclusion of literature reviews, original research articles, and perspectives.
  • Focus on topics central to nonlinear science and Campbell's work.

Main Results:

  • New phenomena and method developments in diverse areas of nonlinear science.
  • Contributions span network dynamics, machine learning, quantum and material systems, chaos and fractals, localized states, and living systems.
  • A comprehensive overview of the current state and future of nonlinear science.

Conclusions:

  • The collection reflects the significant evolution and breadth of nonlinear science.
  • It underscores the lasting impact of David K. Campbell's leadership and research.
  • The issue serves as a valuable resource for researchers in nonlinear science and related fields.