Nonlinear Mapping Convergence and Application to Social Networks
This paper discusses nonlinear discrete-time maps of the form x(k+1)=F(x(k)), focussing on equilibrium points of such maps. Under some circumstances, Lefschetz fixed-point theory can be used to establish the existence of a single locally attractive equilibrium (which is sometimes globally attractive...
| Main Authors: | , |
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| Format: | Conference Paper |
| Published: |
2018
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| Online Access: | http://purl.org/au-research/grants/arc/DP160104500 http://hdl.handle.net/20.500.11937/84358 |
| _version_ | 1848764641388265472 |
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| author | Anderson, B.D.O. Ye, Mengbin |
| author_facet | Anderson, B.D.O. Ye, Mengbin |
| author_sort | Anderson, B.D.O. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper discusses nonlinear discrete-time maps of the form x(k+1)=F(x(k)), focussing on equilibrium points of such maps. Under some circumstances, Lefschetz fixed-point theory can be used to establish the existence of a single locally attractive equilibrium (which is sometimes globally attractive) when a general property of local attractivity is known for any equilibrium. Problems in social networks often involve such discrete-time systems, and we make an application to one such problem. |
| first_indexed | 2025-11-14T11:22:35Z |
| format | Conference Paper |
| id | curtin-20.500.11937-84358 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T11:22:35Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-843582022-10-27T05:06:20Z Nonlinear Mapping Convergence and Application to Social Networks Anderson, B.D.O. Ye, Mengbin This paper discusses nonlinear discrete-time maps of the form x(k+1)=F(x(k)), focussing on equilibrium points of such maps. Under some circumstances, Lefschetz fixed-point theory can be used to establish the existence of a single locally attractive equilibrium (which is sometimes globally attractive) when a general property of local attractivity is known for any equilibrium. Problems in social networks often involve such discrete-time systems, and we make an application to one such problem. 2018 Conference Paper http://hdl.handle.net/20.500.11937/84358 10.23919/ECC.2018.8550197 http://purl.org/au-research/grants/arc/DP160104500 fulltext |
| spellingShingle | Anderson, B.D.O. Ye, Mengbin Nonlinear Mapping Convergence and Application to Social Networks |
| title | Nonlinear Mapping Convergence and Application to Social Networks |
| title_full | Nonlinear Mapping Convergence and Application to Social Networks |
| title_fullStr | Nonlinear Mapping Convergence and Application to Social Networks |
| title_full_unstemmed | Nonlinear Mapping Convergence and Application to Social Networks |
| title_short | Nonlinear Mapping Convergence and Application to Social Networks |
| title_sort | nonlinear mapping convergence and application to social networks |
| url | http://purl.org/au-research/grants/arc/DP160104500 http://hdl.handle.net/20.500.11937/84358 |