Chaotic Julia sets: A Conley index approach

DOI10.1016/S0166-8641(01)00302-9zbMath1010.37024WikidataQ121561067 ScholiaQ121561067MaRDI QIDQ1862111

Marian Gidea

Publication date: 10 March 2003

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

chaosJulia setConley indexsymbolic dynamics

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Symbolic dynamics (37B10) ?ech types (55N05)

Related Items (1)

Control of Julia sets

Cites Work

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• The iteration of cubic polynomials. II: Patterns and parapatterns
• Leray functor and orbital Conley index for non-invariant sets
• The Conley index for discrete semidynamical systems
• The Conley index and symbolic dynamics
• Index pairs and the fixed point index for semidynamical systems with discrete time
• Mappings and homological properties in the Conley index theory
• Leray Functor and Cohomological Conley Index for Discrete Dynamical Systems
• Horseshoes and the Conley index spectrum
• Iterations of rational functions: which hyperbolic components contain polynomials?
• Shift equivalence and the Conley index

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