scientific article; zbMATH DE number 7794638

arXiv2305.08582MaRDI QIDQ6184638

Stanislav S. Minkov, Alexey Okunev, Ivan Shilin

Publication date: 25 January 2024

Full work available at URL: https://arxiv.org/abs/2305.08582

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zbMATH Keywords

attractorsMilnor attractordynamics of endomorphisms

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Partially hyperbolic systems and dominated splittings (37D30)

Cites Work

• On the concept of attractor
• SRB measures for partially hyperbolic systems whose central direction is mostly contracting
• On the topology of solenoidal attractors of the cylinder
• Fat solenoidal attractors
• Hölder properties of perturbed skew products and Fubini regained
• Non-wandering sets with non-empty interiors
• Statistical stability for robust classes of maps with non-uniform expansion
• Persistent massive attractors of smooth maps
• ON SMOOTH MAPPINGS OF THE CIRCLE INTO ITSELF

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