Geodesic
Dynamics of a network of interacting phase oscillators with dynamic couplings
Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 23 (2015) no. 4, pp. 58-70

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We investigate dynamical states formed in a network of coupled phase oscillators in which strength of interactions between oscillators evolve dynamically depending on their relative phases. The feature of the system is co-evolution of coupling weights and states of elements. It is ascertained that depending on the parameters the network exhibit several types of behavior: globally synchronized state, two-cluster and multi-cluster states, various synchronized states with a fixed phase relationship between oscillators and desynchronized state.
Keywords: Phase oscillators, dynamic couplings, synchronization, multi-cluster states, phase clusters. 
@article{IVP_2015_23_4_a4,
     author = {D. V. Kasatkin and V. I. Nekorkin},
     title = {Dynamics of a network of interacting phase oscillators with dynamic couplings},
     journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
     pages = {58--70},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVP_2015_23_4_a4/}
}
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D. V. Kasatkin; V. I. Nekorkin. Dynamics of a network of interacting phase oscillators with dynamic couplings. Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 23 (2015) no. 4, pp. 58-70. http://geodesic.mathdoc.fr/item/IVP_2015_23_4_a4/