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

fYear

2008

fDate

18-21 May 2008

Firstpage

1372

Lastpage

1375

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ISCAS.2008.4541682

Filename

4541682