Attractors for maps with fractional inverse (Q2478624)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Attractors for maps with fractional inverse |
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Attractors for maps with fractional inverse (English)
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28 March 2008
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The paper presents some dynamical properties and specific contact bifurcations of two-di\-men\-sion\-al maps having an inverse with vanishing denominator. The notions of focal point and prefocal curve are introduced and their role in the geometric properties of a rational map is described. The link existing between basin bifurcation of a map with fractional inverse and the prefocal curve of this inverse is studied. Results obtained in the paper are illustrated by considering the Bogdanov map.
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planar maps
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attractors
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dynamics
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focal points
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prefocal curve
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Bogdanov map
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