Dynamics of the family 𝜆tan𝑧-Reference-Cited by-同舟云学术

Dynamics of the family 𝜆tan𝑧

Published:1997-08-13 Issue:4 Volume:1 Page:28-57
ISSN:1088-4173
Container-title:Conformal Geometry and Dynamics of the American Mathematical Society
language:en
Short-container-title:Conform. Geom. Dyn.

Author:

Keen Linda,Kotus Janina

Abstract

We study the the tangent family F = { λ tan ⁡ z , λ ∈ C − { 0 } } {\mathcal F} = \{\lambda \tan z, \lambda \in {\mathbb C} - \{0\}\} and give a complete classification of their stable behavior. We also characterize the the hyperbolic components and give a combinatorial description of their deployment in the parameter plane.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Link

http://www.ams.org/ecgd/1997-01-04/S1088-4173-97-00017-9/S1088-4173-97-00017-9.pdf

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