Work

Bifurcation at depinning transition for Frenkel–Kontorova models *

Year: 2026

Type: article

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).

Source: Nonlinearity

DOI: 10.1088/1361-6544/aebad9

Author: Wen-Xin Qin

Institution: Soochow University

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funder: National Natural Science Foundation of China

Award: G1492489102