Comparison of the influences of nodal dynamics on network synchronized regions

Tang, Longkun; Liang, Jianli

doi:10.1016/j.cjph.2018.06.012

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2024

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“…Piecewise Linear Unified Chaotic (PLUC) System 40 : where sgn ( y ) is the symbolic function, namely when , when and otherwise. The phase diagram is shown in Fig.…”

Section: Methodsmentioning

confidence: 99%

Synchronization of non-smooth chaotic systems via an improved reservoir computing

Wu,

Tang,

Liang

2024

Sci Rep

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The reservoir computing (RC) is increasingly used to learn the synchronization behavior of chaotic systems as well as the dynamical behavior of complex systems, but it is scarcely applied in studying synchronization of non-smooth chaotic systems likely due to its complexity leading to the unimpressive effect. Here proposes a simulated annealing-based differential evolution (SADE) algorithm for the optimal parameter selection in the reservoir, and constructs an improved RC model for synchronization, which can work well not only for non-smooth chaotic systems but for smooth ones. Extensive simulations show that the trained RC model with optimal parameters has far longer prediction time than those with empirical and random parameters. More importantly, the well-trained RC system can be well synchronized to its original chaotic system as well as its replicate RC system via one shared signal, whereas the traditional RC system with empirical or random parameters fails for some chaotic systems, particularly for some non-smooth chaotic systems.

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“…Piecewise Linear Unified Chaotic (PLUC) System 40 : where sgn ( y ) is the symbolic function, namely when , when and otherwise. The phase diagram is shown in Fig.…”

Section: Methodsmentioning

confidence: 99%