Mutual Entrainment in Oscillator Lattices with Nonvariational Type Interaction : General and Mathematical Physics

概要

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A model system for limit cycle oscillators distributed on a d-dimensional cubic lattice is studied. This model has the form φ^^._i=ω_i-KΣ_<j∈Ni>{sin(φ_i-φ_j+α)-sinα}, i=1, 2…L^d, where φ_i is the phase of the oscillator on the i-th site, the natural frequencies may change from site to site and N_i represents the set of the nearest neighbor sites of the i-th site. In a previous work we studied the case of vanishing αand discussed the possibility of phase transition.In the present work we deal with the case of nonvanishing α, and show by computer simulation that the parameter α has a strong effect on global entrainment. Two types of effects of α are discussed. One is that it suppresses large scale phase fluctuations,thus facilitating global entrainment. The other is associated with its effect on mutual entrainment in the presence of vortices.
理論物理学刊行会の論文
1988-05-25