Continuity of fiber Julia sets for Axiom A polynomial skew products on ‒2

DOI10.1080/10236198.2015.1056178zbMath1326.32029OpenAlexW1950917176WikidataQ114010796 ScholiaQ114010796MaRDI QIDQ3448521

Shizuo Nakane

Publication date: 26 October 2015

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2015.1056178

zbMATH Keywords

polynomial skew productsaddle setfiber Julia set

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (3)

On formal normal forms of holomorphic germs at super-saddle fixed points ⋮ An implosion arising from saddle connection in 2D complex dynamics ⋮ Fiber Julia sets of polynomial skew products with super-saddle fixed points

Cites Work

• Dynamics of polynomial skew products on \(\mathbb{C}^2\)
• Postcritical sets and saddle basic sets for Axiom A polynomial skew products on
• A dichotomy for Fatou components of polynomial skew products
• Topology of Fatou components for endomorphisms of CP^k: linking with the Green's current
• Axiom A polynomial skew products of 2 and their postcritical sets
• Dynamics of regular polynomial endomorphisms of C k [superscript]
• Julia sets converging to the unit disk

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