Title:
Conventional Multipliers for Homoclinic Orbits
Conventional Multipliers for Homoclinic Orbits
| dc.contributor.author | Afraimovich, Valentine | |
| dc.contributor.author | Liu, Weishi | |
| dc.contributor.author | Young, Todd R. | |
| dc.contributor.corporatename | Georgia Institute of Technology. School of Mathematics | |
| dc.contributor.corporatename | Georgia Institute of Technology. Center for Dynamical Systems and Nonlinear Studies | |
| dc.date.accessioned | 2009-08-13T14:42:54Z | |
| dc.date.available | 2009-08-13T14:42:54Z | |
| dc.date.issued | 1995-01-30 | |
| dc.description.abstract | In this work we introduce and describe conventional multipliers, a new characteristic of homoclinic orbits of saddle-node type periodic trajectories. We prove existence and smooth dependence of conventional multipliers on the initial point. We show that multipliers of periodic trajectories arising from the homoclinic ones as a result of the saddle-node bifurcation are close to the conventional multipliers. As an application we study behavior of a circle map inside the 'Arnold tongues'. | en |
| dc.identifier.uri | http://hdl.handle.net/1853/29539 | |
| dc.language.iso | en_US | en |
| dc.publisher | Georgia Institute of Technology | en |
| dc.relation.ispartofseries | CDSNS94-195 | en |
| dc.subject | Conventional multipliers | en |
| dc.subject | Periodic trajectories | en |
| dc.subject | Homoclinic orbits | en |
| dc.title | Conventional Multipliers for Homoclinic Orbits | en |
| dc.type | Text | |
| dc.type.genre | Pre-print | |
| dspace.entity.type | Publication | |
| local.contributor.corporatename | College of Sciences | |
| local.contributor.corporatename | School of Mathematics | |
| relation.isOrgUnitOfPublication | 85042be6-2d68-4e07-b384-e1f908fae48a | |
| relation.isOrgUnitOfPublication | 84e5d930-8c17-4e24-96cc-63f5ab63da69 |