There are no structurally stable diffeomorphisms of odd-dimensional manifolds with codimension one non-orientable expanding attractors

2004/04/22 by V. Medvedev, Medvedev, V., E. Zhuzhoma +2
Computer Science · Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #math.DS

paper · pdf · doi:10.48550/arxiv.math/0404416

7 pages

openalex publication_date 2004/04/22 · arxiv created 2004/05/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We prove that a structurally stable diffeomorphism of a closed (2m+1)-manifold has no codimension one non-orientable expanding attractors.

Related

• Attractors with non-invariant interior
• On existence of expanding attractors with different dimensions
• Non existence of attractors and dynamics around some wild homoclinic classes
• On a structure of non-wandering set of an Ω-stable 3-diffeomorphism possessing a hyperbolic attractor
• There are no structural stable Axiom A 3-diffeomorphisms with dynamics "one-dimensional surfaced attractor-repeller"