Publicación: N-BODY DYNAMICS ON AN INFINITE CYLINDER: THE TOPOLOGICAL SIGNATURE IN THE DYNAMICS
| dc.creator | JAIME EDUARDO ANDRADE BUSTOS | |
| dc.date | 2020 | |
| dc.date.accessioned | 2025-01-10T15:10:21Z | |
| dc.date.available | 2025-01-10T15:10:21Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | THE FORMULATION OF THE DYNAMICS OF N-BODIES ON THE SURFACE OF AN INFINITE CYLINDER IS CONSIDERED. WE HAVE CHOSEN SUCH A SURFACE TO BE ABLE TO STUDY THE IMPACT OF THE SURFACE?S TOPOLOGY IN THE PARTICLE?S DYNAMICS. FOR THIS PURPOSE WE NEED TO MAKE A CHOICE OF HOW TO GENERALIZE THE NOTION OF GRAVITATIONAL POTENTIAL ON A GENERAL MANIFOLD. FOLLOWING BOATTO, DRITSCHEL AND SCHAEFER [5], WE DEFINE A GRAVITATIONAL POTENTIAL AS AN ATTRACTIVE CENTRAL FORCE WHICH OBEYS MAXWELL?S LIKE FORMULAS. AS A RESULT OF OUR THEORETICAL DIFFERENTIAL GALOIS THEORY AND NUMERICAL STUDY ? POINCARÉ SECTIONS, WE PROVE THAT THE TWO-BODY DYNAMICS IS NOT INTEGRABLE. MOREOVER, FOR VERY LOW ENERGIES, WHEN THE BODIES ARE RESTRICTED TO A SMALL REGION, THE TOPOLOGICAL SIGNATURE OF THE CYLINDER IS STILL PRESENT IN THE DYNAMICS. A PERTURBATIVE EXPANSION IS DERIVED FOR THE FORCE BETWEEN THE TWO BODIES. SUCH A FORCE CAN BE VIEWED AS THE PLANAR LIMIT PLUS THE TOPOLOGICAL PERTURBATION. FINALLY, A POLYGONAL CONFIGURATION OF IDENTICAL MASSES (IDENTICAL CHARGES OR IDENTICAL VORTICES) IS PROVED TO BE AN UNSTABLE RELATIVE EQUILIBRIUM FOR ALL N > 2. | |
| dc.format | application/pdf | |
| dc.identifier.doi | 10.1134/S1560354720010086 | |
| dc.identifier.issn | 1468-4845 | |
| dc.identifier.issn | 1560-3547 | |
| dc.identifier.uri | https://repositorio.ubiobio.cl/handle/123456789/10763 | |
| dc.language | spa | |
| dc.publisher | REGULAR & CHAOTIC DYNAMICS | |
| dc.relation.uri | 10.1134/S1560354720010086 | |
| dc.rights | PUBLICADA | |
| dc.title | N-BODY DYNAMICS ON AN INFINITE CYLINDER: THE TOPOLOGICAL SIGNATURE IN THE DYNAMICS | |
| dc.title.alternative | DINÁMICA DEL CUERPO N EN UN CILINDRO INFINITO: LA FIRMA TOPOLÓGICA EN LA DINÁMICA | |
| dc.type | ARTÍCULO | |
| dspace.entity.type | Publication | |
| ubb.Estado | PUBLICADA | |
| ubb.Otra Reparticion | DEPARTAMENTO DE MATEMATICA | |
| ubb.Sede | CONCEPCIÓN |
