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Robustness of chimera states in nonlocally coupled networks of nonidentical logistic maps

Overview of attention for article published in Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, July 2018
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Title
Robustness of chimera states in nonlocally coupled networks of nonidentical logistic maps
Published in
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, July 2018
DOI 10.1103/physreve.98.012217
Pubmed ID
Authors

Anne-Kathleen Malchow, Iryna Omelchenko, Eckehard Schöll, Philipp Hövel

Abstract

We investigate the dynamics of nonlocally coupled time-discrete maps with emphasis on the occurrence and robustness of chimera states. These peculiar, hybrid states are characterized by a coexistence of coherent and incoherent regions. We consider logistic maps coupled on a one-dimensional ring with finite coupling radius. Domains of chimera existence form different tongues in the parameter space of coupling range and coupling strength. For a sufficiently large coupling strength, each tongue refers to a wave number describing the structure of the spatial profile. We also analyze the period-adding scheme within these tongues and multiplicity of period solutions. Furthermore, we study the robustness of chimeras with respect to parameter inhomogeneities and find that these states persist for different widths of the parameter distribution. Finally, we explore the spatial structure of the chimera using a spatial correlation function.

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 11 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 11 100%

Demographic breakdown

Readers by professional status Count As %
Researcher 2 18%
Student > Bachelor 2 18%
Student > Master 2 18%
Student > Doctoral Student 1 9%
Student > Ph. D. Student 1 9%
Other 0 0%
Unknown 3 27%
Readers by discipline Count As %
Physics and Astronomy 4 36%
Engineering 2 18%
Mathematics 1 9%
Unknown 4 36%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 31 July 2018.
All research outputs
#17,292,294
of 25,385,509 outputs
Outputs from Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
#9,123
of 20,989 outputs
Outputs of similar age
#219,767
of 340,947 outputs
Outputs of similar age from Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
#149
of 360 outputs
Altmetric has tracked 25,385,509 research outputs across all sources so far. This one is in the 21st percentile – i.e., 21% of other outputs scored the same or lower than it.
So far Altmetric has tracked 20,989 research outputs from this source. They receive a mean Attention Score of 2.9. This one is in the 48th percentile – i.e., 48% of its peers scored the same or lower than it.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 340,947 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 27th percentile – i.e., 27% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 360 others from the same source and published within six weeks on either side of this one. This one has gotten more attention than average, scoring higher than 51% of its contemporaries.