| Full text | |
| Author(s): |
Njougouo, Thierry
[1]
;
Camargo, Victor
[2, 3]
;
Louodop, Patrick
[1]
;
Ferreira, Fernando Fagundes
[2, 3]
;
Talla, Pierre K.
[4]
;
Cerdeira, Hilda A.
[5]
Total Authors: 6
|
| Affiliation: | [1] Univ Dschang, Res Unit Condensed Matter Elect & Signal Proc, POB 67, Dschang - Cameroon
[2] Univ Sao Paulo, FFCLRP, Dept Phys, BR-14040901 Ribeirao Preto, SP - Brazil
[3] Univ Sao Paulo, Ctr Interdisciplinary Res Complex Syst, Av Arlindo Bettio 1000, BR-03828000 Sao Paulo - Brazil
[4] Univ Dschang, L2MSP, POB 67, Dschang - Cameroon
[5] Sao Paulo State Univ UNESP, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, Bloco 2, BR-01140070 Barra Funda, SP - Brazil
Total Affiliations: 5
|
| Document type: | Journal article |
| Source: | Chaos; v. 30, n. 12 DEC 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We study the dynamics of a multilayer network of chaotic oscillators subject to amplification. Previous studies have proven that multilayer networks present phenomena such as synchronization, cluster, and chimera states. Here, we consider a network with two layers of Rossler chaotic oscillators as well as applications to multilayer networks of the chaotic jerk and Lienard oscillators. Intra-layer coupling is considered to be all to all in the case of Rossler oscillators, a ring for jerk oscillators and global mean field coupling in the case of Lienard, inter-layer coupling is unidirectional in all these three cases. The second layer has an amplification coefficient. An in-depth study on the case of a network of Rossler oscillators using a master stability function and order parameter leads to several phenomena such as complete synchronization, generalized, cluster, and phase synchronization with amplification. For the case of Rossler oscillators, we note that there are also certain values of coupling parameters and amplification where the synchronization does not exist or the synchronization can exist but without amplification. Using other systems with different topologies, we obtain some interesting results such as chimera state with amplification, cluster state with amplification, and complete synchronization with amplification. (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 |