Structurally stable perturbations of polynomials in the Riemann sphere

DOI10.1016/j.anihpc.2008.02.001zbMath1153.37329OpenAlexW2018475118MaRDI QIDQ957587

Alvaro Rovella, Aldo Portela, Jorge Iglesias

Publication date: 28 November 2008

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78829

zbMATH Keywords

complex polynomialsstructural stabilitycriticat set

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Stability theory for smooth dynamical systems (37C75) Critical points of functions and mappings on manifolds (58K05)

Related Items (4)

Structural stability of attractor–repellor endomorphisms with singularities ⋮ Some Recent Results on the Stability of Endomorphisms ⋮ Dynamics of covering maps of the annulus I: semiconjugacies ⋮ Lectures on structural stability in dynamics

Cites Work

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• A proof of the \(C^ 1\) stability conjecture
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• Rational iteration: complex analytic dynamical systems
• Real perturbations of complex polynomials
• C¹-maps having hyperbolic periodic points
• On the dynamics of rational maps
• On Ω-stability and structural stability of endomorphisms satisfying Axiom A
• Differential Topology
• Endomorphisms of Compact Differentiable Manifolds
• Necessary Conditions for Stability of Diffeomorphisms
• Dynamics in One Complex Variable. (AM-160)

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