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Introduction to Focus Issue: Nonautonomous dynamical systems: Theory, methods, and applications
Peter Ashwin1, Ulrike Feudel2, Michael Ghil3,4,5
1Department of Mathematics, University of Exeter, Exeter, United Kingdom.
Chaos (Woodbury, N.Y.)
|April 1, 2026
Summary
Nonautonomous dynamical systems (NDS) are crucial in understanding time-dependent models across sciences. This issue explores NDS applications in climate, biodiversity, and machine learning, driving theoretical advancements.
Area of Science:
- Mathematics, Physics, and Life Sciences
- Focus on Nonlinear Dynamics and Time Dependence
Background:
- Nonlinear dynamics has become a significant field in recent decades.
- A key area of development involves understanding time-dependent forcing and parameters in models.
- This is crucial for fields like climate science, biodiversity, and biomedical research.
Purpose of the Study:
- To present a Focus Issue (NDS-G) on nonautonomous dynamical systems (NDS) in the sciences.
- To complement a related issue on NDS in climate (NDS-C).
- To highlight the rapid development and application of NDS theory.
Main Methods:
- Review and discussion of recent advancements in the mathematical theory of nonautonomous and random dynamical systems.
- Exploration of applications in various scientific disciplines.
- Synthesis of current research trends in the field.
Main Results:
- Nonautonomous dynamical systems are increasingly vital for modeling complex phenomena.
- Applications span climate change, biodiversity, machine learning, and biomedical problems.
- The interplay between theory and applications is rapidly advancing.
Conclusions:
- Nonautonomous dynamical systems are a rapidly developing and crucial area of modern science.
- The study of time-dependent systems is essential for addressing contemporary scientific challenges.
- This Focus Issue provides insights into the latest theoretical and applied research in NDS.
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