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Introduction to Double Focus Issue: Nonautonomous dynamical systems in the sciences
Peter Ashwin1, Ulrike Feudel2, Michael Ghil3,4,5
1Department of Mathematics, University of Exeter, Exeter, United Kingdom.
Chaos (Woodbury, N.Y.)
|August 4, 2026
Summary
This focus issue explores nonautonomous dynamical systems (NDS), which account for time-dependent factors in models. Applications range from climate science to biomedical problems, highlighting recent theoretical and applied advances.
Area of Science:
- Nonlinear dynamics
- Mathematical and physical sciences
- Life sciences
- Climate sciences
Background:
- Nonlinear dynamics is a leading field in sciences.
- Time dependence in external forcing and model parameters is a significant research direction.
- Anthropogenic effects on climate and biodiversity, and ageing in biomedical problems are key examples.
Purpose of the Study:
- To present recent theoretical and applied advances in nonautonomous dynamical systems (NDS).
- To bridge the gap between general NDS theory and its specific applications in climate science.
- To consolidate research presented at Dynamics Days Europe 2023 and an International Seminar and Workshop in October 2023.
Main Methods:
- Study of nonautonomous dynamical systems (NDS).
- Investigation of random dynamical systems.
- Synthesis of theoretical developments and their applications.
Main Results:
- Rapid development in the mathematical theory of NDS.
- Blossoming applications in diverse scientific fields.
- Cross-pollination of ideas between general theory and climate science applications.
Conclusions:
- NDS are crucial for understanding time-dependent phenomena in various sciences.
- The study of NDS is rapidly evolving, driven by both theoretical advancements and practical applications.
- This Double Focus Issue highlights the interdisciplinary nature and growing importance of NDS research.
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