| Full text | |
| Author(s): |
Simo, Gael R.
[1]
;
Louodop, Patrick
[1]
;
Ghosh, Dibakar
[2]
;
Njougouo, Thierry
[1]
;
Tchitnga, Robert
[3, 1]
;
Cerdeira, Hilda A.
[4, 5]
Total Authors: 6
|
| Affiliation: | [1] Univ Dschang, Dept Phys, Res Unit Condensed Matter Elect & Signal Proc, Fac Sci, POB 67, Dschang - Cameroon
[2] Indian Stat Inst, Phys & Appl Math Unit, 203 BT Rd, Kolkata 700108 - India
[3] Univ Ulm, Inst Surface Chem & Catalysis, Albert Einstein Allee 47, D-89081 Ulm - Germany
[4] Sao Paulo State Univ UNESP, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, Bloco II, BR-01140070 Sao Paulo - Brazil
[5] Gomez & Gomez Ltda ME, Epistem, Ave Prof Lineu Prestes 2242, Sala 244, BR-05508000 Sao Paulo - Brazil
Total Affiliations: 5
|
| Document type: | Journal article |
| Source: | Physics Letters A; v. 409, SEP 6 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We study the emergence of the traveling chimera state in a two-dimensional network of Hindmarsh-Rose burst neurons with the mutual presence of local and non-local couplings. We show that in the unique presence of the non-local chemical coupling modeled by a nonlinear function, the traveling chimera phenomenon occurs with a displacement in both directions of the plane of the grid. The introduction of local electrical coupling shows that the mutual influence of the two types of coupling can, for certain values, generate traveling chimera, imperfect-traveling, traveling multi-clusters, and alternating traveling chimera, i.e. the presence in the network under study, of patterns of coherent elements interspersed by other incoherent elements in movement and alternately changing their position over time. The confirmation of the states of coherence is done by introducing the parameter of the instantaneous local order parameter in two dimensions. Finally weextend our analysis through mathematical tools such as the Hamilton energy function to determine the direction of patterns' propagationin two dimensions. (C) 2021 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics |
| Grantee: | Nathan Jacob Berkovits |
| Support Opportunities: | Special Projects |