Nonlinearly coupled harmonic oscillators: high frequency oscillations yield synchronization - Mathematics > Dynamical SystemsReport as inadecuate




Nonlinearly coupled harmonic oscillators: high frequency oscillations yield synchronization - Mathematics > Dynamical Systems - Download this document for free, or read online. Document in PDF available to download.

Abstract: Synchronization of coupled harmonic oscillators is investigated. Couplingconsidered here is pairwise, unidirectional, and described by a nonlinearfunction whose graph resides in the first and third quadrants of someprojection of the relative distance between the states of the pair beingcoupled vector. Under the assumption that the interconnection topology definesa connected graph, it is shown that the synchronization manifold issemiglobally practically asymptotically stable in the frequency ofoscillations.



Author: S. Emre Tuna

Source: https://arxiv.org/



DOWNLOAD PDF




Related documents