% IMPORTANT: The following is UTF-8 encoded. This means that in the presence % of non-ASCII characters, it will not work with BibTeX 0.99 or older. % Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or % “biber”. @ARTICLE{Ameli:910702, author = {Ameli, Sara and Samani, Keivan Aghababaei}, title = {{L}ow-dimensional behavior of generalized {K}uramoto model}, journal = {Nonlinear dynamics}, volume = {110}, issn = {0924-090X}, address = {Dordrecht [u.a.]}, publisher = {Springer Science + Business Media B.V}, reportid = {FZJ-2022-04074}, pages = {2781-2791}, year = {2022}, abstract = {We study the global bifurcation of a generalization of the Kuramoto model in the fully connected network in which the connections are weighted by the frequency of the oscillators. By driving the low dimensional manifold of this infinite-dimensional dynamical system, we obtain bifurcation boundaries for different types of transitions to the synchronized state. Using this analytic framework, we obtain the characteristic flow field of the system for each dynamical region in parameter space. To check the effect of nonzero-centered frequency distribution, we consider bimodal Lorentzian distribution as an example. In this case, the system shows three types of transitions to the synchronized state, depending on the parameters of the frequency distribution: (1) a two-step transition with Bellerophon state, (2) a continuous transition, as in the classical Kuramoto model, and (3) a first-order, explosive, transition with hysteresis.}, cin = {PGI-14}, ddc = {510}, cid = {I:(DE-Juel1)PGI-14-20210412}, pnm = {5234 - Emerging NC Architectures (POF4-523)}, pid = {G:(DE-HGF)POF4-5234}, typ = {PUB:(DE-HGF)16}, UT = {WOS:000847150300002}, doi = {10.1007/s11071-022-07703-0}, url = {https://juser.fz-juelich.de/record/910702}, }