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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Riddling: Chimera's dilemma

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Author(s):
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Santos, V. [1] ; Szezech, Jr., J. D. [2, 1] ; Batista, A. M. [2, 3, 1] ; Iarosz, K. C. [4, 3, 5] ; Baptista, M. S. [6] ; Ren, H. P. [7, 8] ; Grebogi, C. [6, 7] ; Viana, R. L. [9] ; Caldas, I. L. [4] ; Maistrenko, Y. L. [3, 10, 11] ; Kurths, J. [3, 5]
Total Authors: 11
Affiliation:
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[1] Univ Estadual Ponta Grossa, Grad Sci Program, BR-84030900 Ponta Grossa, Parana - Brazil
[2] Univ Estadual Ponta Grossa, Dept Math & Stat, BR-84030900 Ponta Grossa, Parana - Brazil
[3] Potsdam Inst Climate Impact Res, D-14473 Potsdam, Brandenburg - Germany
[4] Univ Sao Paulo, Inst Phys, BR-05508900 Sao Paulo, SP - Brazil
[5] Humboldt Univ, Dept Phys, D-12489 Berlin, Brandenburg - Germany
[6] Univ Aberdeen, SUPA, Inst Complex Syst & Math Biol, Aberdeen AB24 3UE - Scotland
[7] Xian Univ Technol, Shaanxi Key Lab Complex Syst Control & Intelligen, Xian 710048, Shaanxi - Peoples R China
[8] Xian Technol Univ, Xian 710021, Shaanxi - Peoples R China
[9] Univ Fed Parana, Dept Phys, BR-80060000 Curitiba, Parana - Brazil
[10] Natl Acad Sci Ukraine, Inst Math, Tereshchenkivska St 3, UA-01030 Kiev - Ukraine
[11] Natl Acad Sci Ukraine, Ctr Med & Biotech Res, Tereshchenkivska St 3, UA-01030 Kiev - Ukraine
Total Affiliations: 11
Document type: Journal article
Source: Chaos; v. 28, n. 8 AUG 2018.
Web of Science Citations: 2
Abstract

We investigate the basin of attraction properties and its boundaries for chimera states in a circulant network of Henon maps. It is known that coexisting basins of attraction lead to a hysteretic behaviour in the diagrams of the density of states as a function of a varying parameter. Chimera states, for which coherent and incoherent domains occur simultaneously, emerge as a consequence of the coexistence of basin of attractions for each state. Consequently, the distribution of chimera states can remain invariant by a parameter change, and it can also suffer subtle changes when one of the basins ceases to exist. A similar phenomenon is observed when perturbations are applied in the initial conditions. By means of the uncertainty exponent, we characterise the basin boundaries between the coherent and chimera states, and between the incoherent and chimera states. This way, we show that the density of chimera states can be not only moderately sensitive but also highly sensitive to initial conditions. This chimera's dilemma is a consequence of the fractal and riddled nature of the basin boundaries. Published by AIP Publishing. (AU)

FAPESP's process: 15/07311-7 - Dynamic behaviour of neural networks
Grantee:Kelly Cristiane Iarosz
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 11/19296-1 - Nonlinear dynamics
Grantee:Iberê Luiz Caldas
Support type: Research Projects - Thematic Grants
FAPESP's process: 15/05186-0 - Bifurcations and control of chaos in wave-particle interactions
Grantee:Meirielen Caetano de Sousa
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 15/50122-0 - Dynamic phenomena in complex networks: basics and applications
Grantee:Elbert Einstein Nehrer Macau
Support type: Research Projects - Thematic Grants
FAPESP's process: 17/20920-8 - Plasticity in neuronal networks
Grantee:Kelly Cristiane Iarosz
Support type: Scholarships abroad - Research Internship - Post-doctor