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The Phase-Locked Loop(PLL) is a key component of modern electronic communication and control systems. PLL is designed to extract signals from transmission channels. It plays an important role in syste...
An analogy between crowd synchrony and multi-layer neural network architectures is proposed. It indicates that many non-identical dynamical elements (oscillators) communicating indirectly via a few me...
We investigate the diffusion coefficient of the time integral of the Kuramoto order parameter in globally coupled nonidentical phase oscillators. This coefficient represents the deviation of the time ...
Abstract: We propose a rigorous analysis approach for the subset sum problem in the context of lossless data compression, where the phase transition of the subset sum problem is directly related to th...
Abstract: We study the phenomenon of cluster synchrony that occurs in ensembles of coupled phase oscillators when higher-order modes dominate the coupling between oscillators. For the first time, we d...
The adaptive control problem for stochastic systems with unmodelled dynamics is considered. The modelled part of the system is described by an ARMAX model which may not be of minimum phase, while the ...
This paper provides the theoretical fundamentals of L_1 deconvolution for the stationary time series{ y_n}which satisfies a non-minimum phase AR(p) model. An algorithm of the L_1 deconvolution and its...

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