Communication and Synchronization in Disconnected Networks with Dynamic Topology: Moving Neighborhood Networks
We consider systems that are well modelled as networks that evolve in time, which we call Moving Neighborhood Networks. These models are relevant in studying cooperative behavior of swarms and other phenomena where emergent interactions arise from ad hoc networks. In a natural way, the time-averag...
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AIMS Press
2004-06-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.347 |
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| author | Joseph D. Skufca Erik M. Bollt |
| author_facet | Joseph D. Skufca Erik M. Bollt |
| author_sort | Joseph D. Skufca |
| collection | DOAJ |
| description | We consider systems that are well modelled as networks that evolve in time, which we call Moving Neighborhood Networks. These models are relevant in studying cooperative behavior of swarms and other phenomena where emergent interactions arise from ad hoc networks. In a natural way, the time-averaged degree distribution gives rise to a scale-free network. Simulations show that although the network may have many noncommunicating components, the recent weighted time-averaged communication is sufficient to yield robust synchronization of chaotic oscillators. In particular, we contend that such time-varying networks are important to model in the situation where each agent carries a pathogen (such as a disease) in which the pathogen's life-cycle has a natural time-scale which competes with the time-scale of movement of the agents, and thus with the networks communication channels. |
| format | Article |
| id | doaj-art-94a238d505d74fccbe5471f4a235feb9 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2004-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-94a238d505d74fccbe5471f4a235feb92025-01-24T01:46:53ZengAIMS PressMathematical Biosciences and Engineering1551-00182004-06-011234735910.3934/mbe.2004.1.347Communication and Synchronization in Disconnected Networks with Dynamic Topology: Moving Neighborhood NetworksJoseph D. Skufca0Erik M. Bollt1Department of Mathematics, United States Naval Academy, Annapolis, MD 21402Deptartments of Mathematics, Computer Science, and Physics, Clarkson University, Potsdam, NY 13699We consider systems that are well modelled as networks that evolve in time, which we call Moving Neighborhood Networks. These models are relevant in studying cooperative behavior of swarms and other phenomena where emergent interactions arise from ad hoc networks. In a natural way, the time-averaged degree distribution gives rise to a scale-free network. Simulations show that although the network may have many noncommunicating components, the recent weighted time-averaged communication is sufficient to yield robust synchronization of chaotic oscillators. In particular, we contend that such time-varying networks are important to model in the situation where each agent carries a pathogen (such as a disease) in which the pathogen's life-cycle has a natural time-scale which competes with the time-scale of movement of the agents, and thus with the networks communication channels.https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.347communication in complex networks.mathematical modeldisease spread in communitiesnonlinear dynamicsself-organizationepidemiology |
| spellingShingle | Joseph D. Skufca Erik M. Bollt Communication and Synchronization in Disconnected Networks with Dynamic Topology: Moving Neighborhood Networks Mathematical Biosciences and Engineering communication in complex networks. mathematical model disease spread in communities nonlinear dynamics self-organization epidemiology |
| title | Communication and Synchronization in Disconnected Networks with Dynamic Topology: Moving Neighborhood Networks |
| title_full | Communication and Synchronization in Disconnected Networks with Dynamic Topology: Moving Neighborhood Networks |
| title_fullStr | Communication and Synchronization in Disconnected Networks with Dynamic Topology: Moving Neighborhood Networks |
| title_full_unstemmed | Communication and Synchronization in Disconnected Networks with Dynamic Topology: Moving Neighborhood Networks |
| title_short | Communication and Synchronization in Disconnected Networks with Dynamic Topology: Moving Neighborhood Networks |
| title_sort | communication and synchronization in disconnected networks with dynamic topology moving neighborhood networks |
| topic | communication in complex networks. mathematical model disease spread in communities nonlinear dynamics self-organization epidemiology |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.347 |
| work_keys_str_mv | AT josephdskufca communicationandsynchronizationindisconnectednetworkswithdynamictopologymovingneighborhoodnetworks AT erikmbollt communicationandsynchronizationindisconnectednetworkswithdynamictopologymovingneighborhoodnetworks |