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2007 ◽  
Vol 38 (1) ◽  
pp. 561-564 ◽  
Author(s):  
Ki-Hyung Park ◽  
Hyung Dal Park ◽  
Jae-Kwang Lim ◽  
Jae Young Kim ◽  
Heung-Sik Tae ◽  
...  

2006 ◽  
Vol 53 (5) ◽  
pp. 1112-1119 ◽  
Author(s):  
Byung-Gwon Cho ◽  
Heung-Sik Tae ◽  
K. Ito ◽  
Nam-Sung Jung ◽  
Kwang-Sik Lee

2005 ◽  
Vol 15 (11) ◽  
pp. 3509-3534 ◽  
Author(s):  
CHRISTIAN MIRA ◽  
ANDREY SHILNIKOV

The present paper focuses on the two time scale dynamics generated by 2D polynomial noninvertible maps T of (Z0 - Z2) and (Z1 - Z3 - Z1) types. This symbolism, specific to noninvertible maps, means that the phase plane is partitioned into zones Zk, where each point possesses the k real rank-one preimages. Of special interest here is the structure of slow and fast motion sets of such maps. The formation mechanism of a stable invariant close curve through the interaction of fast and slow dynamics, as well as its transformation into a canard are studied. A few among the plethora of chaotic attractors and chaotic transients produced by such maps are described as well.


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