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AUTHOR(S): Marat Akhmet
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ABSTRACT We propose an uncertainty principle for chaos, focusing on two key characteristics: alpha unpredictability and Lorenz sensitivity. This principle outlines a limitation on the relationship between two infinite sequences that underpin these concepts. It is helpful for both deterministic and stochastic dynamics, marking a significant step toward integrating these two fields. Our initial progress in this area was achieved through research on Markov chains utilizing alpha labeling. Additionally, we offer suggestions on how this principle can be used to assess the degree of chaos in specific processes. We also outline open questions regarding the relationships among various types of chaos, including a modification of the recurrence theorem. |
KEYWORDS Chaos, Uncertainty principle, Alpha unpredictability, Lorenz sensitivity, Poisson stability, Ultra Poincaré chaos |
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Cite this paper Marat Akhmet. (2025) On Assess of Uncertainty in Chaos. International Journal of Applied Physics, 10, 197-201 |
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