New Canards Bursting and Canards Periodic-Chaotic Sequence |
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| Authors: | YOOER Chi-Feng XU Jian-Xue ZHANG Xin-Hua |
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| Affiliation: | Institute of Nonlinear Dynamics, Xi'an Jiaotong University, Xi'an 710049 |
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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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