06069961

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06069961 Gourary, M.M. Rusakov, S.G. Ulyanov, S.L. Zharov, M.M. Mutual injection locking of oscillators under parasitic couplings. Michielsen, Bastiaan (ed.) et al., Scientific computing in electrical engineering SCEE 2010. Selected papers based on the presentations at the 8th conference, Toulouse, France, September 2010. Berlin: Springer (ISBN 978-3-642-22452-2/hbk; 978-3-642-22453-9/ebook). Mathematics in Industry 16, 303-312 (2012). 2012 Berlin: Springer EN single phase equation SPICE simulation mutually locked moscillators

doi:10.1007/978-3-642-22453-9_32

Summary: The method to analyze the mutual injection locking of weakly coupled arbitrary oscillators is proposed. The couplings are defined by frequency-dependent admittance matrices. An algebraic system with respect to phases and common locking frequency is derived. For two oscillators, the system is transformed to the single phase equation and an explicit expression for the locking frequency. An accuracy comparison with {\tt SPICE} simulation is presented.