On the Arnold's classification conjecture on dynamics of complexity of linear intersections

DOI10.1007/s10883-022-09637-7OpenAlexW4313256639WikidataQ122860906 ScholiaQ122860906MaRDI QIDQ6054036

Mónica de Nova-Vázquez

Publication date: 24 October 2023

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

Full work available at URL: https://doi.org/10.1007/s10883-022-09637-7

zbMATH Keywords

iterationtransversalitylinear subspacescomplementary dimensionsdynamic of intersection

Mathematics Subject Classification ID

Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Complex spaces (32C15) Higher-dimensional holomorphic and meromorphic dynamics (37F80)

Cites Work

• Growth of periodic orbits of dynamical systems
• A remark on the Lefschetz fixed point formula for differentiable maps
• On the growth of the number of long periodic solutions of differential equations
• The Grassmannian variety. Geometric and representation-theoretic aspects
• On periodic points
• Intersection dynamics on Grassmann manifolds
• Dynamics of complexity of intersections
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