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A new mechanism for intermittency in rings of cells
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Parker, Martyn and Stewart, Ian (2008) A new mechanism for intermittency in rings of cells. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol.18 (No.3). pp. 675-687. doi:10.1142/S0218127408020574 ISSN 0218-1274.
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Official URL: http://dx.doi.org/10.1142/S0218127408020574
Abstract
We discuss a general mechanism that induces periodic switching between different dynamic phenomena in rings of cells. Such intermittent behavior is normally modeled by asymptotically stable heteroclinic cycles. Our mechanism does not require a heteroclinic cycle in the ring of cells, instead a Van der Pol oscillator forces our system so that it periodically changes state.
We investigate this mechanism numerically in a number of different examples. These simulations demonstrate a variety of interesting forms of intermittency.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering | ||||
Publisher: | World Scientific Publishing Co. Pte. Ltd. | ||||
ISSN: | 0218-1274 | ||||
Official Date: | March 2008 | ||||
Dates: |
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Volume: | Vol.18 | ||||
Number: | No.3 | ||||
Number of Pages: | 13 | ||||
Page Range: | pp. 675-687 | ||||
DOI: | 10.1142/S0218127408020574 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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