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New Canards Bursting and Canards Periodic-Chaotic Sequence |
| YOOER Chi-Feng, XU Jian-Xue, ZHANG Xin-Hua |
| Institute of Nonlinear Dynamics, Xi'an Jiaotong University, Xi'an 710049 |
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| Cite this article: |
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YOOER Chi-Feng, XU Jian-Xue, ZHANG Xin-Hua 2009 Chin. Phys. Lett. 26 070504 |
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Abstract A trajectory following the repelling branch of an equilibrium or a periodic orbit is called a canards solution. Using a continuation method, we find a new type of canards bursting which manifests itself in an alternation between the oscillation phase following attracting the limit cycle branch and resting phase following a repelling fixed point branch in a reduced leech neuron model. Via periodic-chaotic alternating of infinite times, the number of windings within a canards bursting can approach infinity at a Gavrilov-Shilnikov homoclinic tangency bifurcation of a simple saddle limit cycle
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| Keywords:
05.45.Gg
05.45.Pq
07.05.Mh
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Received: 03 March 2009
Published: 02 July 2009
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| PACS: |
05.45.Gg
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(Control of chaos, applications of chaos)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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07.05.Mh
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(Neural networks, fuzzy logic, artificial intelligence)
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