Title :
Waves and patterns in delayed oscillatory networks
Author :
Bonnin, Michele ; Corinto, Fernando ; Gilli, Marco ; Civalleri, Pier Paolo
Author_Institution :
Dept. of Electron., Politec. di Torino, Turin
Abstract :
The existence and the stability of waves and phase locked oscillations in lattices composed by oscillators with delayed interactions is investigated. In the neighborhood of a multiple Hopf bifurcation, the equations governing the dynamics of the whole network reduce to an amplitude-phase model, reducing the research of phase locked oscillations to the prospecting of equilibrium points. The stability of the solutions is determined analytically and the possible coexistence of waves and phase locked oscillations is shown.
Keywords :
bifurcation; lattice theory; nonlinear dynamical systems; phase locked oscillators; spatiotemporal phenomena; amplitude-phase model; delayed lattice; delayed oscillatory networks; multiple Hopf bifurcation; phase locked oscillations; spatiotemporal pattern formation; traveling waves coexistence; waves stability; Bifurcation; Biological system modeling; Delay effects; Differential equations; Lattices; Local oscillators; Nonlinear equations; Partial differential equations; Propagation delay; Stability analysis;
Conference_Titel :
Circuits and Systems, 2008. ISCAS 2008. IEEE International Symposium on
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-1683-7
Electronic_ISBN :
978-1-4244-1684-4
DOI :
10.1109/ISCAS.2008.4541682
