Symbolic dynamics for Lozi maps
| dc.contributor.author | Misiurewicz, Michal | |
| dc.contributor.author | Štimac, Sonja | |
| dc.contributor.department | Department of Mathematical Sciences, School of Science | en_US |
| dc.date.accessioned | 2017-05-26T16:47:48Z | |
| dc.date.available | 2017-05-26T16:47:48Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | We study the family of Lozi maps ${{L}_{a,b}}:{{\mathbb{R}}^{2}}\to {{\mathbb{R}}^{2}}$ , ${{L}_{a,b}}(x,y)=(1+y-a|x|,bx)$ , and their strange attractors ${{ \Lambda }_{a,b}}$ . We introduce the set of kneading sequences for the Lozi map and prove that it determines the symbolic dynamics for that map. We also introduce two other equivalent approaches. | en_US |
| dc.eprint.version | Author's manuscript | en_US |
| dc.identifier.citation | Misiurewicz, M., & Štimac, S. (2016). Symbolic dynamics for Lozi maps. Nonlinearity, 29(10), 3031. http://doi.org/10.1088/0951-7715/29/10/3031 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/12753 | |
| dc.language.iso | en | en_US |
| dc.publisher | IOP | en_US |
| dc.relation.isversionof | 10.1088/0951-7715/29/10/3031 | en_US |
| dc.relation.journal | Nonlinearity | en_US |
| dc.rights | Publisher Policy | en_US |
| dc.source | ArXiv | en_US |
| dc.subject | Lozi map | en_US |
| dc.subject | Lozi attractor | en_US |
| dc.subject | symbolic dynamics | en_US |
| dc.title | Symbolic dynamics for Lozi maps | en_US |
| dc.type | Article | en_US |