Rotation number of the overdamped Frenkel–Kontorova model with ac-driving

Bambi Hu, Wen-Xin Qin*, Zhigang Zheng

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

17 Citations (Scopus)


The dynamical behavior of the overdamped and overdamped limit cases of the Frenkel–Kontorova model with ac-driving is studied. The relationship is established between the average velocity of the particles and the rotation number of the orientation preserving homeomorphism on the circle induced from the Poincaré map. The dynamical behavior for both cases is determined completely by the rotation number. Numerical results are also provided for the second order system to support the theoretical conclusions.

Original languageEnglish
Pages (from-to)172-190
Number of pages19
JournalPhysica D: Nonlinear Phenomena
Issue number3-4
Publication statusPublished - 1 Sept 2005

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

User-Defined Keywords

  • Average velocity
  • Mode-locking
  • Orientation preserving homeomorphism
  • Overdamped Frenkel-Kontorova model
  • Rotation number


Dive into the research topics of 'Rotation number of the overdamped Frenkel–Kontorova model with ac-driving'. Together they form a unique fingerprint.

Cite this