English

Limit cycles that do not comprise steady states of reactors

Adaptation and Self-Organizing Systems 2026-02-10 v1

Abstract

It is possible that self-induced oscillations appear in reactors, and that their range does not reach the steady state, although such state exists. To prove this, a cascade of tank reactors coupled with mass recycle loop was tested numerically. The above-mentioned phenomenon is characterized by the location of the steady point out of the limit cycle in the phase portrait. This incident may be beneficial to the process, as low steady state does not have to exclude an independent increase of the conversion degree, despite being the only state and not generating oscillations.

Keywords

Cite

@article{arxiv.1706.06860,
  title  = {Limit cycles that do not comprise steady states of reactors},
  author = {Marek Berezowski},
  journal= {arXiv preprint arXiv:1706.06860},
  year   = {2026}
}

Comments

9 pages, 6 figures, the paper is printed in Applied Mathematics and Computation, vol. 312, pp. 129-133, 2017