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Bounded nonwandering sets for polynomial mappings

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Publication:1876117
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DOI10.1023/B:JODS.0000034436.39278.37zbMath1048.37017MaRDI QIDQ1876117

Ming-Chia Li, Mikhail Malkin

Publication date: 16 August 2004

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)


zbMATH Keywords

topological entropynonwandering pointsunbounded orbitsgeneralized Hénon mappingsPolynomial mappings


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)


Related Items (7)

A chaotic lattice field theory in one dimension* ⋮ On unbounded trajectories of a certain quadratic mapping of the plane ⋮ GENERALIZED HÉNON MAPS AND SMALE HORSESHOES OF NEW TYPES ⋮ On the Concept of Integrability for Discrete Dynamical Systems. Investigation of Wandering Points of Some Trace Map. ⋮ Shilnikov's cross-map method and hyperbolic dynamics of three-dimensional Hénon-like maps ⋮ On Local Topological Classification of Two-Dimensional Orientable, Non-Orientable, and Half-Orientable Horseshoes ⋮ Complicated behavior in cubic Hénon maps






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