| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1892991 | Chaos, Solitons & Fractals | 2011 | 17 Pages |
Abstract
⺠We consider critical homoclinic orbits in continuous and discontinuous maps. ⺠Unbounded homoclinic orbits in maps on unbounded domains are considered as well. ⺠We show that a snapback-repeller (SBR) with a non-critical homoclinic orbit implies chaos. ⺠We show also that a SBR with a critical homoclinic orbit may or may not imply chaos.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Laura Gardini, Iryna Sushko, Viktor Avrutin, Michael Schanz,