Oscillation death in diffusively coupled oscillators by local repulsive link.

Autor: Hens CR; CSIR-Indian Institute of Chemical Biology, Jadavpur, Kolkata 700032, India., Olusola OI, Pal P, Dana SK
Jazyk: angličtina
Zdroj: Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2013 Sep; Vol. 88 (3), pp. 034902. Date of Electronic Publication: 2013 Sep 16.
DOI: 10.1103/PhysRevE.88.034902
Abstrakt: A death of oscillation is reported in a network of coupled synchronized oscillators in the presence of additional repulsive coupling. The repulsive link evolves as an averaging effect of mutual interaction between two neighboring oscillators due to a local fault and the number of repulsive links grows in time when the death scenario emerges. Analytical condition for oscillation death is derived for two coupled Landau-Stuart systems. Numerical results also confirm oscillation death in chaotic systems such as a Sprott system and the Rössler oscillator. We explore the effect in large networks of globally coupled oscillators and find that the number of repulsive links is always fewer than the size of the network.
Databáze: MEDLINE