Journal articleChaos (Woodbury, N.Y.) · October 2022
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We consider globally connected coupled Winfree oscillators under the influence of an external periodic forcing. Such systems exhibit many qualitatively different regimes of collective dynamics. Our aim is to understand this collective dynamics and, in part ...
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Journal articleRegular and Chaotic Dynamics · May 1, 2022
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In 2005 Dullin et al. proved that thenonzero vector of Maslov indices is an eigenvector with eigenvalue1 of the monodromy matrices of an integrable Hamiltonian system.We take a close look at the geometry behind this result and extendit to the more general ...
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Journal articleChaos (Woodbury, N.Y.) · September 2021
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We discuss the formation of secondary synchronized clusters, that is, small clusters of synchronized oscillators besides the main cluster, in second-order oscillator networks and the role of inertia in this process. Such secondary synchronized clusters giv ...
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