Dynamics of Rossler oscillators in a star network with the central node controlled by an external system

Autor(es)

Njougouo, Thierry ^[1] ; Simo, Gael R. ^[1] ; Louodop, Patrick ^{[1, 2]} ; Ferreira, Fernando Fagundes ^{[3, 4]} ; Talla, Pierre K. ^[5]

Afiliação do(s) autor(es)

^[1] Univ Dschang, Res Unit Condensed Matter Elect & Signal Proc, POB 67, Dschang - Cameroon

^[2] Sao Paulo State Univ UNESP, Inst Fis Teor, Rua Doutor Bento Teobaldo Ferraz 271, Bloco 2, BR-01140070 Sao Paulo - Brazil

^[3] Univ Sao Paulo, Ctr Interdisciplinary Res Complex Syst, Ave Arlindo Bettio 1000, BR-03828000 Sao Paulo - Brazil

^[4] Univ Sao Paulo, Dept Phys FFCLRP, BR-14040901 Ribeirao Preto, SP - Brazil

^[5] Univ Dschang, L2MSP, POB 67, Dschang - Cameroon

• Tipo de documento: Artigo Científico
• Fonte: NONLINEAR DYNAMICS; v. 102, n. 4, p. 2875-2885, DEC 2020.
• Citações Web of Science: 1

Resumo

The present work studies the dynamics of chaotic Rossler oscillators in a star network, where the central node or relay system is controlled by an external and similar system. Without the outer systems, the middle oscillator of the network is an amplified observer of the driver. Varying both amplification and coupling parameters leads the outer systems and the driver-relay to various behaviors. To perform the robustness of the synchronization between different blocks of our network, a certain amount of noise is introduced in all the external systems. This is done to deal with not only the noise amplitude but also the cumulative effects since the noise is introduced in all the outer systems. Later, a finite duration feedback (taken as a single interval) from the relay to the driver is considered to improve the synchronization domain between the driver and relay unit and to accelerate the coherent motion between outer systems. We analyze how synchronization works using the Hamiltonian formalism. We confirm our analysis through mathematical developments and numerical simulations. (AU)

• Processo FAPESP: 14/13272-1 - Sincronização de sistemas caóticos em tempo finito e aplicações
• Beneficiário: Patrick Herve Louodop Fotso
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado