Vibrational control of systems with Arrhenius dynamics

Richard Bellman, Joseph Bentsman, Semyon M. Meerkov

Research output: Contribution to journalArticlepeer-review


A nonlinear system with S-shape steady state characteristic is referred to as a system with Arrhenius dynamics. The negative slope part of the S-shape curve represents a set of unstable steady states. Using two examples of Arrhenius systems (catalytic reactor and continuous stirred tank reactor), it is shown that introduction of sufficiently fast oscillations in the parameters of the system generates a new Arrhenius system, the steady state characteristic of which has a smaller negative slope part. Results of analytical investigation as well as numerical simulation are presented. It is shown that vibrational stabilization of Arrhenius systems gives an increase in productivity of the plants.

Original languageEnglish (US)
Pages (from-to)152-191
Number of pages40
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - Jan 1983
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


Dive into the research topics of 'Vibrational control of systems with Arrhenius dynamics'. Together they form a unique fingerprint.

Cite this