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Updated: Oct 22, 2025

Using Generative Art to Convey Past and Future Climate Transitions
Published on: March 31, 2023
Lorenz-63 Model as a Metaphor for Transient Complexity in Climate.
Sergey Kravtsov1,2, Anastasios A Tsonis1,3
1Atmospheric Science Group, Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, WI 53201, USA.
Complex dynamical systems, like the Lorenz-63 model, show sensitive transient behavior. Initial conditions drastically impact system recovery, even before reaching equilibrium.
Area of Science:
- Complex Systems
- Climate Science
- Dynamical Systems Theory
Background:
- Dynamical systems, exemplified by the Lorenz-63 model, are used to model natural systems like climate.
- Perturbed systems typically return to equilibrium after external forcing ceases.
Purpose of the Study:
- Investigate transient trajectory behavior in the Lorenz-63 model.
- Analyze system dynamics when initialized far from the attractor.
Main Methods:
- Studied trajectories of the Lorenz-63 model.
- Initialized systems far from the asymptotic attractor.
Main Results:
- Transient trajectories exhibit complex behavior.
- Sensitivity to initial conditions during transients mirrors asymptotic behavior.
- Extreme events can cause divergent variations before equilibrium.
Conclusions:
- Transient dynamics in systems like Lorenz-63 are complex and sensitive.
- System behavior far from equilibrium is as unpredictable as on the attractor.
- Understanding transients is crucial for predicting system responses to perturbations.
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