The Periodic Behavior of Morse-Smale Diffeomorphisms on Compact Surfaces

DOI10.2307/1998742zbMath0438.58019OpenAlexW4230248959MaRDI QIDQ3879984

Carolyn Narasimhan

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998742

zbMATH Keywords

existence of a Morse- Smale diffeomorphism which has prescribed periodic dataMorse-Smale diffeomorphisms on compact surfaces which are homotopic to the identityperiodic data for diffeomorphism

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

The Dynamics of Morse-Smale Diffeomorphisms on the Torus, Surface subshifts and subshift data, Orientation-Reversing Morse-Smale Diffeomorphisms on the Torus, The dynamical complexity of orientation reversing homeomorphisms of surfaces, Orientation reversing Morse-Smale diffeomorphisms of \(S^ 2\)., Supporting manifolds for high-dimensional Morse-Smale diffeomorphisms with few saddles, Periodic points of surface homeomorphisms with zero entropy, Periods of Morse-Smale diffeomorphisms on \(\mathbb{S}^n, \mathbb{S}^m \times \mathbb{S}^n, \mathbb{C}\mathbf{P}^n\) and \(\mathbb{H}\mathbf{P}^n\), Morse-Smale systems and topological structure of carrier manifolds, Global dynamics of Morse-Smale systems

Cites Work

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• Fixed point index and fixed point theorem for Euclidean neighborhood retracts
• On an approximation theorem of Kupka and Smale
• Morse inequalities for a dynamical system
• Some Smooth Maps with Infinitely Many Hyperbolic Peridoic Points
• Differentiable dynamical systems