Attractors on $\mathbf{P}^k$

Details Attractors on $\mathbf{P}^k$ Attractors on $\mathbf{P}^k$

2005-10-29

arxiv.org/abs/math/0510650v2

Mathematics

Dynamical Systems

22 pages

Scientific paper

We show that special perturbations of a particular holomorphic map on
$\mathbf{P}^k$ give us examples of maps that possess chaotic nonalgebraic
attractors. Furthermore, we study the dynamics of the maps on the attractors.
In particular, we construct invariant hyperbolic measures supported on the
attractors with nice dynamical properties.

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