Multistability in networks of weakly coupled bistable units
| dc.creator | MacKay, R S | |
| dc.creator | Sepulchre, J A | |
| dc.date | 1995-01-20 | |
| dc.date.accessioned | 2026-07-07T09:15:59Z | |
| dc.date.available | 2026-07-07T09:15:59Z | |
| dc.description | We study the stationary states of networks consisting of weakly coupled bistable units. We prove the existence of a high multiplicity of stable steady states in networks with very general inter-unit dynamics. We present a method for estimating the critical coupling strength below which these stationary states persist in the network. In some cases, the presence of time-independent localized states in the system can be regarded as a `propagation failure' phenomenon. We analyse this type of behaviour in the case of diffusive networks whose elements are described by one or two variables and give concrete examples. | |
| dc.description | 23 pages, .dvi format in uuencode file. No figures. To appear in Physica D | |
| dc.identifier | https://arxiv.org/abs/patt-sol/9501003 | |
| dc.identifier | http://arxiv.org/abs/patt-sol/9501003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153208 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Multistability in networks of weakly coupled bistable units | |
| dc.type | text |