Periods of Morse-Smale diffeomorphisms on \(\mathbb{S}^n, \mathbb{S}^m \times \mathbb{S}^n, \mathbb{C}\mathbf{P}^n\) and \(\mathbb{H}\mathbf{P}^n\)
From MaRDI portal
Publication:2065138
DOI10.1007/s11784-021-00918-5zbMath1493.37021arXiv2004.01465OpenAlexW4200586873MaRDI QIDQ2065138
Jaume Llibre, Clara Cufí-Cabré
Publication date: 7 January 2022
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.01465
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Homotopy and topological questions for infinite-dimensional manifolds (58B05) 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
- Lefschetz periodic point free self-maps of compact manifolds
- On the Lefschetz zeta function and the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms on products of \(\ell\)-spheres
- The existence of Morse-Smale diffeomorphisms
- Orientation reversing Morse-Smale diffeomorphisms of \(S^ 2\).
- Structural stability of \(C^1\) diffeomorphisms
- The periodic behavior of Morse-Smale diffeomorphisms
- Homology theory and dynamical systems
- Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms
- Topological classification of Morse-Smale diffeomorphisms on \(3\)-manifolds
- Minimal Lefschetz sets of periods for Morse–Smale diffeomorphisms on then-dimensional torus
- The Periodic Behavior of Morse-Smale Diffeomorphisms on Compact Surfaces
- Minimal sets of periods for Morse–Smale diffeomorphisms on non-orientable compact surfaces without boundary
- Periods of continuous maps on some compact spaces
- Classification of Morse–Smale systems and topological structure of the underlying manifolds
- Periods of Morse–Smale diffeomorphisms of S2
- Differentiable dynamical systems