https://doi.org/10.1140/epjs/s11734-026-02331-w
Regular Article
Noise-induced variability of dynamic behavior in the Lorenz model of atmospheric circulation
Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, Lenin ave., 51, 620000, Ekaterinburg, Russian Federation
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Received:
23
February
2026
Accepted:
20
April
2026
Published online:
30
April
2026
Abstract
In this paper, we study new stochastic phenomena of the extended Lorenz model of general circulation of the atmosphere. We observe the possibility of stochastic patterns and system transitions between various modes of atmospheric circulations in cases of deterministic and stochastic dynamics. We show that the bifurcation diagram of the deterministic model contains the the stable equilibrium as well as “weak” and “strong” cycles possessing small, large and mixed oscillations between atmospheric attractors. As this takes place, a tristability mode where the equilibrium coexists with two “weak” cycles, and four-stable mode where the equilibrium and three cycles coexist are possible to occur. Also, we reveal a noise-induced excitement of large-amplitude spike fluctuations, where small-amplitude oscillations near the equilibrium point alternate with large-amplitude spikes. In addition, we observe the transition from order to chaos connected with the noise-induced transition from regular attractors to large-amplitude spike oscillations. The effects of coherence resonance and noise-induced stabilization near the equilibrium point are also revealed by studying the statistics of noise-generated oscillations.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
