Small-world networks exhibit pronounced intermittent synchronization

Autor(es)

Choudhary, Anshul ^[1] ; Mitra, Chiranjit ^{[2, 3]} ; Kohar, Vivek ^[4] ; Sinha, Sudeshna ^[5] ; Kurths, Juergen ^{[2, 3]}

Afiliação do(s) autor(es)

^[1] Carl von Ossietzky Univ Oldenburg, Theoret Phys Complex Syst, ICBM, D-26111 Oldenburg - Germany

^[2] Humboldt Univ, Dept Phys, D-12489 Berlin - Germany

^[3] Potsdam Inst Climate Impact Res, Res Domain Transdisciplinary Concepts & Methods 4, D-14473 Potsdam - Germany

^[4] Jackson Lab, Bar Harbor, ME 04609 - USA

^[5] Indian Inst Sci Educ & Res IISER Mohali, Sect 81, PO 140 306, Manauli, Punjab - India

• Tipo de documento: Artigo Científico
• Fonte: Chaos; v. 27, n. 11 NOV 2017.
• Citações Web of Science: 0

Resumo

We report the phenomenon of temporally intermittently synchronized and desynchronized dynamics in Watts-Strogatz networks of chaotic Roossler oscillators. We consider topologies for which the master stability function (MSF) predicts stable synchronized behaviour, as the rewiring probability (p) is tuned from 0 to 1. MSF essentially utilizes the largest non-zero Lyapunov exponent transversal to the synchronization manifold in making stability considerations, thereby ignoring the other Lyapunov exponents. However, for an N-node networked dynamical system, we observe that the difference in its Lyapunov spectra (corresponding to the N - 1 directions transversal to the synchronization manifold) is crucial and serves as an indicator of the presence of intermittently synchronized behaviour. In addition to the linear stability-based (MSF) analysis, we further provide global stability estimate in terms of the fraction of state-space volume shared by the intermittently synchronized state, as p is varied from 0 to 1. This fraction becomes appreciably large in the small-world regime, which is surprising, since this limit has been otherwise considered optimal for synchronized dynamics. Finally, we characterize the nature of the observed intermittency and its dominance in state-space as network rewiring probability (p) is varied. Published by AIP Publishing. (AU)

• Processo FAPESP: 11/50151-0 - Fenômenos dinâmicos em redes complexas: fundamentos e aplicações
• Beneficiário: Elbert Einstein Nehrer Macau
• Linha de fomento: Auxílio à Pesquisa - Temático