Extension of Lorenz Unpredictability

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2015-09-01

Author

Akhmet, Marat

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It is found that Lorenz systems can be unidirectionally coupled such that the chaos expands from the drive system. This is true if the response system is not chaotic, but admits a global attractor, an equilibrium or a cycle. The extension of sensitivity and period-doubling cascade are theoretically proved, and the appearance of cyclic chaos as well as intermittency in interconnected Lorenz systems are demonstrated. A possible connection of our results with the global weather unpredictability is provided.

Subject Keywords

Lorenz system, Chaos extension, Sensitivity, Period-doubling cascade, Intermittency, Cyclic chaos

URI

https://hdl.handle.net/11511/35043

Journal

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

DOI

https://doi.org/10.1142/s0218127415501266

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “Extension of Lorenz Unpredictability,” INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, pp. 0–0, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35043.