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Single-Hopf Bursting in Periodic Perturbed Belousov–Zhabotinsky Reaction with Two Time Scales |
| LI Xiang-Hong1,2, BI Qin-Sheng2** |
1Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043
2Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013
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| Cite this article: |
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LI Xiang-Hong, BI Qin-Sheng 2013 Chin. Phys. Lett. 30 010503 |
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Abstract By introducing weak periodic perturbation to the Oregonator, we investigate a mathematical model with two time scales. The novel dynamical phenomena called the single-Hopf bursting with unusually quiescent state are observed. The related bifurcation mechanism is presented by means of the transition portrait and slow-fast analysis, which has rarely been reported in the previous works associated with the Oregonator model. Furthermore, the influence of forcing amplitude on bursting behaviors is studied. Further investigation finds that excitation amplitude may play an important role in a two-timescale system with the slow procedure dominated by periodic perturbation.
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Received: 02 November 2012
Published: 04 March 2013
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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82.40.Bj
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(Oscillations, chaos, and bifurcations)
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