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Synchronization of oscillators: Feasability and Non-local analysis Florian Dörfler and Julien M. Hendrickx September 12, 2014 1 System Definition We consider a network of n oscillators each characterized by a phase angle θi ∈ S1 (where S denotes the unit circle) and a distinct natural frequency ωi ∈ R. The oscillator phases evolve according to d dt θi(t) = ωi + ∑n j=1 aij sin (θj(t)− θi(t)) , (1)

http://www.lccc.lth.se/media/2014/julien.pdf - 2025-01-31

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Two Problems on Minimality in RLC Circuit Synthesis Timothy H. Hughes1, Jason Z. Jiang2, and Malcolm C. Smith1 Introduction A (one-port) RLC circuit is an interconnection of resistors and reactive elements (inductors and capacitors) with a pair of driving-point terminals. The circuit may be characterised by its impedance, which is the transfer function from an applied current to the induced voltag

http://www.lccc.lth.se/media/2014/malcolm.pdf - 2025-01-31