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| description |
The object of the present work is to describe some bifurcations
occurring in the 2D piecewise linear continuous map in canonical
form involving the Poincare Equator (i.e. periodic points at
infinity) and its relation to the so called "dangerous
bifurcations" (following Hassouneh et al. [2004] and Ganguli
and Banerjee [2005]). It will be shown that such regions are related
not only to stable fixed points and repelling saddle cycles, and a
more general definition is proposed. The boundaries of such regions
are border collision bifurcations of cycles on the Poincare Equator.
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| publisher |
Institute of Mathematics, National Academy of Sciences of
Ukraine
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| type |
Text
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| Article in Collection
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| source |
In: Book of Abstracts: European Conference on Iteration Theory:
Yalta, Crimea, Ukraine, September 7-13, 2008, pp. 1-1
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| contributor |
IPVS, Bildverstehen
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| subject |
Physical Sciences and Engineering (CR J.2)
| | border collision bifurcation
| | dangerous bifurcation
| | Poincare equator
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