Entrainment by Chaos

Date

2014-06-01

Author

Akhmet, Marat

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A new phenomenon, the entrainment of limit cycles by chaos, which results from the appearance of cyclic irregular behavior, is discussed. In this study, sensitivity is considered as the main ingredient of chaos to be captured, and the period-doubling cascade is chosen for extension. Theoretical results are supported by simulations and discussions regarding Chua's oscillators, entrainment of toroidal attractors by chaos, synchronization, and controlling problems. It is demonstrated that the entrainment cannot be considered as generalized synchronization of chaotic systems.

Subject Keywords

General Engineering, Modelling and Simulation, Applied Mathematics

URI

https://hdl.handle.net/11511/48703

Journal

JOURNAL OF NONLINEAR SCIENCE

DOI

https://doi.org/10.1007/s00332-014-9194-9

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “Entrainment by Chaos,” JOURNAL OF NONLINEAR SCIENCE, pp. 411–439, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48703.