\(C^1\)-smooth \(\Omega\)-stable skew products and completely geometrically integrable self-maps of 3D-tori. I: \(\Omega\)-stability
DOI10.1134/s1560354724520010MaRDI QIDQ6580674
Publication date: 29 July 2024
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Dynamical systems involving maps of the circle (37E10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) 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) Stability theory for smooth dynamical systems (37C75) Flows on surfaces (37E35) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On \(\Omega \)-blow-ups in the simplest \(C^{1}\)-smooth skew products of interval mappings
- Structurally stable systems
- New set-valued functions in the theory of skew products of interval maps.
- Simplest skew products on \(n\)-dimensional \((n\geq 2 )\) cells, cylinders and tori
- Geometrically integrable maps in the plane and their periodic orbits
- Absence of \(C^{1}\)-\(\Omega\)-explosion in the space of smooth simplest skew products
- Neighborhoods of hyperbolic sets
- Small \(C^1\)-smooth perturbations of skew products and the partial integrability property
- Some Recent Results on the Stability of Endomorphisms
- C1stability of endomorphisms on two-dimensional manifolds
- Non-wandering sets of the powers of maps of the interval
- On Ω-stability and structural stability of endomorphisms satisfying Axiom A
- Ω-inverse limit stability theorem
- Dynamics of skew products of interval maps
- Small perturbations of smooth skew products and Sharkovsky's theorem
- One-dimensional dynamical systems
- Endomorphisms of Compact Differentiable Manifolds
- Differentiable dynamical systems
- ON SMOOTH MAPPINGS OF THE CIRCLE INTO ITSELF
- On the concept of \(\Omega\)-function for the skew product of interval mappings.
- Ramified continua as global attractors of C 1 -smooth self-maps of a cylinder close to skew products
This page was built for publication: \(C^1\)-smooth \(\Omega\)-stable skew products and completely geometrically integrable self-maps of 3D-tori. I: \(\Omega\)-stability