Complete invariance and compactness of the filled Julia sets of polynomial maps in $$ \mathbb {C}^N $$ C N

Author:

Kosek Marta

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Reference20 articles.

1. Beardon, A.F.: Iteration of rational functions. Complex analytic dynamical systems. In: Graduate Texts in Mathematics, vol. 132. Springer, New York (1991)

2. Beardon, A.F., Rippon, P.J.: A remark on the shape of quadratic Julia sets. Nonlinearity 7, 1277–1280 (1994)

3. Chądzyński, J., Krasiński, T.: On the Łojasiewicz exponent at infinity for polynomial mappings of $${\mathbb{C}^{2}}$$ C 2 into $${\mathbb{C}^{2}}$$ C 2 and components of polynomial automorphisms of $${\mathbb{C}^{2}}$$ C 2 . Ann. Polon. Math. 57, 291–302 (1992)

4. Devaney, R.L.: An introduction to chaotic dynamical systems. In: Addison-Wesley Studies in Nonlinearity, 2nd ed. Addison-Wesley Publishing Company, Redwood City (1989)

5. Devaney, R.L.: A first course in chaotic dynamical systems. Theory and experiment. In: Addison-Wesley Studies in Nonlinearity. Addison-Wesley Publishing Company, Reading (1992)

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