Mutual Entrainment in Oscillator Lattices with Nonvariational Type Interaction | doi.page

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Mutual Entrainment in Oscillator Lattices with Nonvariational Type Interaction

Progress of Theoretical Physics1988Vol. 79(5), pp. 1069–1079

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H. Sakaguchi, Shigeru Shinomoto, Yoshio Kuramoto

Abstract

A model system for limit cycle oscillators distributed on a d-dimensional cubic lattice is studied. This model has the form φi = ωi - K ∑j ∈Ni {sin (φi - φj + α) - sin α}, i = 1, 2 …Ld, where φi is the phase of the oscillator on the i-th site, the natural frequencies may change from site to site and Ni represents the set of the nearest neighbor sites of the i-th site. In a previous work we studied the case of vanishing α and 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.

Citations Over TimeTop 10% of 1988 papers

Abstract

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