English

Asymmetric Duffing oscillator: jump manifold and border set

Dynamical Systems 2023-02-28 v1

Abstract

We study the jump phenomenon present in the forced asymmetric Duffing oscillator using the known steady-state asymptotic solution. The major result is the computation of the jump manifold, which encodes global information about all possible jumps.

Keywords

Cite

@article{arxiv.2203.05017,
  title  = {Asymmetric Duffing oscillator: jump manifold and border set},
  author = {Jan Kyzioł and Andrzej Okniński},
  journal= {arXiv preprint arXiv:2203.05017},
  year   = {2023}
}

Comments

11 pages, 6 figures

R2 v1 2026-06-24T10:07:55.263Z