Dynamics of multilayer networks with amplification
| Autor: | Patrick Louodop, Thierry Njougouo, Hilda A. Cerdeira, Victor Camargo, Fernando F. Ferreira, Pierre Kisito Talla |
|---|---|
| Přispěvatelé: | University of Dschang, Universidade de São Paulo (USP), Universidade Estadual Paulista (Unesp) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
Applied Mathematics Cluster state Chaotic General Physics and Astronomy FOS: Physical sciences Statistical and Nonlinear Physics Network topology Topology Phase synchronization Nonlinear Sciences - Chaotic Dynamics 01 natural sciences 68Q06 Nonlinear Sciences - Adaptation and Self-Organizing Systems 010305 fluids & plasmas Nonlinear Sciences::Chaotic Dynamics Jerk Mean field theory 0103 physical sciences Chaotic oscillators Chaotic Dynamics (nlin.CD) 010306 general physics Adaptation and Self-Organizing Systems (nlin.AO) Mathematical Physics Master stability function |
| Zdroj: | Scopus Repositório Institucional da UNESP Universidade Estadual Paulista (UNESP) instacron:UNESP |
| Popis: | We study the dynamics of a multilayer network of chaotic oscillators subject to an 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 Roessler chaotic oscillators as well as applications to multilayer networks of chaotic jerk and Lienard oscillators. Intralayer coupling is considered to be all to all in the case of Roessler oscillators, a ring for jerk oscillators and global mean field coupling in the case of Lienard, the interlayer 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 Roessler oscillators using 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 Roessler 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. 13 pages, 8 figures. To appear in Chaos: An Interdisciplinary Journal of Nonlinear Science |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|