Construction of heteroclinic networks in R-4
We study heteroclinic networks in R-4, made of a certain type of simple robust heteroclinic cycle. In simple cycles all the connections are of saddle-sink type in two-dimensional fixed-point spaces. We show that there exist only very few ways to join such cycles together in a network and provide the...
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| Format: | article |
| Language: | eng |
| Published: |
2016
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| Online Access: | https://hdl.handle.net/10216/110953 |
| Country: | Portugal |
| Oai: | oai:repositorio-aberto.up.pt:10216/110953 |
| Summary: | We study heteroclinic networks in R-4, made of a certain type of simple robust heteroclinic cycle. In simple cycles all the connections are of saddle-sink type in two-dimensional fixed-point spaces. We show that there exist only very few ways to join such cycles together in a network and provide the list of all possible such networks in R-4. The networks involving simple heteroclinic cycles of type A are new in the literature and we describe the stability of the cycles in these networks: while the geometry of type A and type B networks is very similar, stability distinguishes them clearly. |
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