Forced oscillations in an exothermic chemical reaction

Lawrence K. Forbes, Brian F. Gray

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We study non-linear behaviour in a model chemical reaction scheme (proposed by Sal'nikov), in which a single chemical species undergoes a two-stage, first-order decay process. The second stage is exothermic and has a temperature-dependent rate, and as a result, spontaneous oscillations in the temperature and the concentration of an intermediate chemical are known to be possible. An additional oscillation is imposed on the system by varying the ambient temperature in a sinusoidal manner. Primary resonance occurs when the forcing frequency coincides with the frequency of the natural oscillations in this scheme and an infinite sequence of super- and subharmonic resonances is also present. Chaos is possible for appropriate parameter values and may result either from the Feigenbaum period-doubling cascade, or else as a result of the Ruelle-Takens approach through quasi-periodicity.

Original languageEnglish
Pages (from-to)253-269
Number of pages17
JournalDynamics and Stability of Systems
Issue number3
Publication statusPublished - 1 Jan 1994
Externally publishedYes


Dive into the research topics of 'Forced oscillations in an exothermic chemical reaction'. Together they form a unique fingerprint.

Cite this