The Dynamics of Morse-Smale Diffeomorphisms on the Torus

DOI10.2307/1998118zbMath0424.58015OpenAlexW4244434765MaRDI QIDQ3858976

Steve Batterson

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998118

zbMATH Keywords

homology zeta functionMorse-Smale diffeomorphisms of the 2-torus with prescribed periodic data

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Morse-Smale systems (37D15)

Related Items (11)

On perturbations of algebraic periodic automorphisms of a two-dimensional torus ⋮ On non-hyperbolic algebraic automorphisms of a two-dimensional torus ⋮ Realization of homotopy classes of torus homeomorphisms by the simplest structurally stable diffeomorphisms ⋮ On the Lefschetz zeta function for quasi-unipotent maps on the \(n\)-dimensional torus. II: The general case. ⋮ Perturbations of nonhyperbolic algebraic automorphisms of the 2-torus ⋮ On a Classification of Periodic Maps on the 2-Torus ⋮ Orientation-Reversing Morse-Smale Diffeomorphisms on the Torus ⋮ Orientation reversing Morse-Smale diffeomorphisms of \(S^ 2\). ⋮ On the Lefschetz zeta function and the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms on products of \(\ell\)-spheres ⋮ Morse-Smale systems and topological structure of carrier manifolds ⋮ Global dynamics of Morse-Smale systems

Cites Work

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• The periodic behavior of Morse-Smale diffeomorphisms
• Homology theory and dynamical systems
• The Periodic Behavior of Morse-Smale Diffeomorphisms on Compact Surfaces
• Some Smooth Maps with Infinitely Many Hyperbolic Peridoic Points
• Structurally Stable Grassmann Transformations

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