Dynamical Behavior of Phase Oscillator Networks on the Bethe Lattice(General)
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概要
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We study the dynamical nature of phase oscillator networks on a Bethe lattice. We derive selfconsistent equations for the cavity fields (i.e. the oscillator probability distributions) by using the cavity method both in equilibrium and via an analytic approximation for non-equilibrium states. The order parameters and their evolution equations are obtained as functions of the cavity fields. The theoretical results and the accuracy of our approximations are confirmed by comparison with simulations involving direct integration of the Langevin equations describing the microscopic oscillator dynamics.
- 社団法人日本物理学会の論文
- 2009-02-15
著者
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UEZU Tatsuya
Graduate School of Humanities and Sciences, Nara Women's University
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Uezu Tatsuya
Graduate School Of Human Culture Nara Women's University
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