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Global invariant manifolds |
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| Authors: | Mitja Lakner Marjeta &#x;kapin-Rugelj |
| Institution: | Department of Mathematics and Physics, Faculty of Civil and Geodetic Engineering, p.p. 3422, Ljubljana 1001, Slovenia |
| Abstract: | The main result of our article is an analog of the local manifold theorem for a hyperbolic point. We give a set of sufficient conditions that ensure the existence of the global invariant manifold. We will prove the existence of invariant curves which lie in the quaternionic Julia set of the map fc(X)=X2+c. |
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