Perturbation Theory of Self-Oscillating System with a Periodic Perturbation
Open Access
- 1 January 1979
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 61 (1) , 45-53
- https://doi.org/10.1143/ptp.61.45
Abstract
If a small periodic perturbation is applied to the self-oscillating system, it will, in some cases, entrain the system, in other cases, the system oscillates independently. These behaviours are examined numerically by Tomita et al. in a famous model chemical reaction–Brusselator. In this paper, a perturbation method is applied to obtain analytically the behaviour of the system under a periodic perturbational force. This method is applicable near the onset of the limit cycle oscillations.Keywords
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