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Spatiotemporal and synchronous chaos in accumulated coupled map lattice

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Abstract

The onset of spatiotemporal chaos in coupled map lattice (CML) with a new coupling scheme called accumulated CML is studied in this paper. A rigorous proof of the existence of chaos in the sense of Li–Yorke is presented. Also the range of the coupling strength in which global synchronization can be obtained is calculated by stability analysis of the synchronized state. Finally, the positivity of Lyapunov exponents confirms the existence of chaos.

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  1. Faculty of Electrical Engineering, Shahid Rajaee Teacher Training University, Lavizan, Tehran, Iran

    Nastaran Vasegh

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  1. Nastaran Vasegh
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Vasegh, N. Spatiotemporal and synchronous chaos in accumulated coupled map lattice. Nonlinear Dyn 89, 1089–1097 (2017). https://doi.org/10.1007/s11071-017-3501-6

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  • DOI: https://doi.org/10.1007/s11071-017-3501-6

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