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Basins of attraction of chimera states on networks [PDF]
Networks of identical coupled oscillators display a remarkable spatiotemporal pattern, the chimera state, where coherent oscillations coexist with incoherent ones. In this paper we show quantitatively in terms of basin stability that stable and breathing
Qiang Li +12 more
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Coupled phase oscillators model a variety of dynamical phenomena in nature and technological applications. Non-local coupling gives rise to chimera states which are characterized by a distinct part of phase-synchronized oscillators while the remaining ...
Christian Bick, Erik A Martens
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Basin stability for chimera states [PDF]
Chimera states, namely complex spatiotemporal patterns that consist of coexisting domains of spatially coherent and incoherent dynamics, are investigated in a network of coupled identical oscillators.
Sarbendu Rakshit +3 more
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Image Entropy for the Identification of Chimera States of Spatiotemporal Divergence in Complex Coupled Maps of Matrices [PDF]
Complex networks of coupled maps of matrices (NCMM) are investigated in this paper. It is shown that a NCMM can evolve into two different steady states—the quiet state or the state of divergence.
Rasa Smidtaite +2 more
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Characteristic distribution of finite-time Lyapunov exponents for chimera states [PDF]
It is shown that probability densities of finite-time Lyapunov exponents, corresponding to chimera states, have a characteristic shape. Such distributions could be used as a signature of chimera states, particularly in systems for which the phases of all
Botha, A. E.
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Emergence of multicluster chimera states [PDF]
We thank Prof. L. Huang for helpful discussions. This work was partially supported by ARO under Grant No. W911NF-14-1-0504 and by NSF of China under Grant No. 11275003. The visit of NY to Arizona State University was partially sponsored by Prof. Z. Zheng
Grebogi, Celso +3 more
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Basins of attraction for chimera states [PDF]
Chimera states—curious symmetry-broken states in systems of identical coupled oscillators—typically occur only for certain initial conditions. Here we analyze their basins of attraction in a simple system comprised of two populations.
Erik A Martens +2 more
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Clustered chimera states in systems of type-I excitability [PDF]
The chimera state is a fascinating phenomenon of coexisting synchronized and desynchronized behaviour that was discovered in networks of nonlocally coupled identical phase oscillators over ten years ago.
Andrea Vüllings +3 more
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Information Entropy in Chimera States of Human Dynamics [PDF]
In human dynamics, functioning relies on intricate coordination patterns. Networks of synchronized oscillators in various biological and semiotic fields shape these dynamics.
Franco Orsucci, Giovanna Zimatore
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Hippocampal phase precession may be generated by chimera dynamics [PDF]
The 8 Hz theta rhythm observed in hippocampal local field potentials of animals can be regarded as a “clock” that regulates the timing of spikes. While different interneuron sub-types synchronously phase lock to different phases for every theta cycle ...
Maria Masoliver +7 more
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