Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Haugland, Sindre W."'
Publikováno v:
Phys. Rev. E 103, 060201 (2021)
Highly symmetric networks can exhibit partly symmetry-broken states, including clusters and chimera states, i.e., states of coexisting synchronized and unsynchronized elements. We address the $\mathbb{S}_4$ permutation symmetry of four globally coupl
Externí odkaz:
http://arxiv.org/abs/2102.10138
Autor:
Haugland, Sindre W.
Publikováno v:
J. Phys. Complex. 2 032001 (2021)
Chimera states, states of coexistence of synchronous and asynchronous motion, have been a subject of extensive research since they were first given a name in 2004. Increased interest has lead to their discovery in ever new settings, both theoretical
Externí odkaz:
http://arxiv.org/abs/2102.05515
Coupled oscillators, even identical ones, display a wide range of behaviours, among them synchrony and incoherence. The 2002 discovery of so-called chimera states, states of coexisting synchronized and unsynchronized oscillators, provided a possible
Externí odkaz:
http://arxiv.org/abs/2101.10242
Publikováno v:
J. Phys. Complex. 2 025005 (2021)
We reduce the dynamics of an ensemble of mean-coupled Stuart-Landau oscillators close to the synchronized solution. In particular, we map the system onto the center manifold of the Benjamin-Feir instability, the bifurcation destabilizing the synchron
Externí odkaz:
http://arxiv.org/abs/2010.06221
We explore equivariant dynamics under the symmetric group $S_N$ of all permutations of $N$ elements. Specifically we study one-parameter vector fields, up to cubic order, which commute with the standard real $(N-1)$-dimensional irreducible representa
Externí odkaz:
http://arxiv.org/abs/2008.06944
The ubiquitous occurrence of cluster patterns in nature still lacks a comprehensive understanding. It is known that the dynamics of many such natural systems is captured by ensembles of Stuart-Landau oscillators. Here, we investigate clustering dynam
Externí odkaz:
http://arxiv.org/abs/1807.11231
Publikováno v:
Phys. Rev. Lett. 120, 214101 (2018)
Symmetry broken states arise naturally in oscillatory networks. In this Letter, we investigate chaotic attractors in an ensemble of four mean-coupled Stuart-Landau oscillators with two oscillators being synchronized. We report that these states with
Externí odkaz:
http://arxiv.org/abs/1803.04542
Autor:
Kemeth, Felix P., Haugland, Sindre W., Dietrich, Felix, Bertalan, Tom, Höhlein, Kevin, Li, Qianxiao, Bollt, Erik M., Talmon, Ronen, Krischer, Katharina, Kevrekidis, Ioannis G.
Publikováno v:
IEEE Access, 2018, p. 1-1, issn 2169-3536
Manifold-learning techniques are routinely used in mining complex spatiotemporal data to extract useful, parsimonious data representations/parametrizations; these are, in turn, useful in nonlinear model identification tasks. We focus here on the case
Externí odkaz:
http://arxiv.org/abs/1708.05406
Autor:
Kemeth, Felix P., Haugland, Sindre W., Schmidt, Lennart, Kevrekidis, Ioannis G., Krischer, Katharina
Publikováno v:
Chaos 26 (2016), 094815
We present a universal characterization scheme for chimera states applicable to both numerical and experimental data sets. The scheme is based on two correlation measures that enable a meaningful definition of chimera states as well as their classifi
Externí odkaz:
http://arxiv.org/abs/1603.01110