Bifurcation at depinning transition for Frenkel–Kontorova models *
Abstract We prove that the bifurcation happening at the depinning transition of Frenkel–Kontorova models with spatially periodic conditions is generically a ‘saddle node on a cycle’, as commented by Baesens and MacKay (1998 Nonlinearity 11 949–64).
Authors
- Wen-Xin Qin (ORCID: https://orcid.org/0000-0003-1920-2086)
Institutions
- Soochow University (CN)
Publication Details
- Journal
- Nonlinearity
- Published
- 2026-11-05
- DOI
- https://doi.org/10.1088/1361-6544/aebad9
- Primary Topic
- Nonlinear Dynamics and Pattern Formation
- Type
- article
- Field-Weighted Citation Impact
- 0.00