Some Smooth Maps with Infinitely Many Hyperbolic Peridoic Points

DOI10.2307/1997947zbMath0346.58011OpenAlexW4236889514MaRDI QIDQ4115844

John Franks

Publication date: 1977

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1997947

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fixed points and coincidences in algebraic topology (55M20)

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The Dynamics of Morse-Smale Diffeomorphisms on the Torus ⋮ Factorisation of Lefschetz zeta functions and twisted periodic orbits ⋮ On the Lefschetz zeta function for quasi-unipotent maps on the \(n\)-dimensional torus. II: The general case. ⋮ The Periodic Behavior of Morse-Smale Diffeomorphisms on Compact Surfaces ⋮ Periodic orbits of transversal maps ⋮ Orientation-Reversing Morse-Smale Diffeomorphisms on the Torus ⋮ Unnamed Item ⋮ Orientation reversing Morse-Smale diffeomorphisms of \(S^ 2\). ⋮ The number of periodic points of smooth maps ⋮ On the Lefschetz zeta function and the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms on products of \(\ell\)-spheres ⋮ Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms ⋮ Periods for Transversal Maps Via Lefschetz Numbers for Periodic Points ⋮ A note on the periodic structure of transversal maps on the torus and products of spheres ⋮ Periodic structure of transversal maps on sum-free products of spheres ⋮ Periodic structure of the transversal maps on surfaces ⋮ Morse-Smale systems and topological structure of carrier manifolds ⋮ Global dynamics of Morse-Smale systems ⋮ On topological entropy, Lefschetz numbers and Lefschetz zeta functions ⋮ Fixed point indices of planar continuous maps

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