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On the Fatou Component of Polynomial Maps on C2

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Book cover Proceedings of the Second ISAAC Congress

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 8))

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Abstract

For a polynomial map f on C 2, using the set of subsequential limits of the sequence |f n} of the iteration and the Fatou map by Ueda [U2], we classify the invariant Fatou components. We introduce the notation of parabolic basin.

Also we study the dynamics of a family of skew product maps ([J],[H]).

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© 2000 Kluwer Academic Publishers

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Suzuki, M. (2000). On the Fatou Component of Polynomial Maps on C2 . In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0271-1_30

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  • DOI: https://doi.org/10.1007/978-1-4613-0271-1_30

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7971-3

  • Online ISBN: 978-1-4613-0271-1

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