Poincaré-Hopf theorem for hybrid systems
| dc.contributor.author | Kvalheim, Matthew D. | |
| dc.date.accessioned | 2023-10-25T15:00:31Z | |
| dc.date.available | 2023-10-25T15:00:31Z | |
| dc.date.issued | 2021-08-17 | |
| dc.description.abstract | A generalization of the Poincaré-Hopf index theorem applicable to hybrid dynamical systems is obtained. For the hybrid systems considered, guard sets are not assumed to be smooth; distinct "modes" are not assumed to have constant dimension; and resets are arbitrary multivalued maps (relations). | en_US |
| dc.description.sponsorship | This work is supported by the Army Research Office (ARO) under the SLICE Multidisciplinary University Research Initiatives (MURI) Program, award W911NF1810327. The author gratefully acknowledges helpful conversations with Paul Gustafson and Daniel E. Koditschek. | en_US |
| dc.description.uri | https://arxiv.org/abs/2108.07434 | en_US |
| dc.format.extent | 6 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.genre | preprints | en_US |
| dc.identifier | doi:10.13016/m2ru9h-pute | |
| dc.identifier.uri | https://doi.org/10.48550/arXiv.2108.07434 | |
| dc.identifier.uri | http://hdl.handle.net/11603/30373 | |
| dc.language.iso | en_US | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | en_US |
| dc.title | Poincaré-Hopf theorem for hybrid systems | en_US |
| dc.type | Text | en_US |
| dcterms.creator | https://orcid.org/0000-0002-2662-6760 | en_US |