THE BEHAVIOR OF THE INDEX OF PERIODIC POINTS UNDER ITERATIONS OF A MAPPING
From MaRDI portal
Publication:4713748
DOI10.1070/IM1992v038n01ABEH002185zbMath0742.58027OpenAlexW2075263157MaRDI QIDQ4713748
Ivan K. Babenko, Semeon A. Bogatyi
Publication date: 25 June 1992
Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/im1992v038n01abeh002185
Topological dynamics (37B99) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (46)
Generalized Dold sequences on partially-ordered sets ⋮ On partially periodic point free self-maps on the wedge sums of spheres ⋮ On the Lefschetz zeta function for quasi-unipotent maps on the \(n\)-dimensional torus. II: The general case. ⋮ Periodic points of latitudinal maps of the \(m\)-dimensional sphere ⋮ Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set ⋮ A sufficient condition for the realizability of the least number of periodic points of a smooth map ⋮ Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds ⋮ Self-maps of \(S^2\) homotopic to a smooth map with a single \(n\)-periodic point ⋮ About the homological discrete Conley index of isolated invariant acyclic continua ⋮ Shub’s conjecture for smooth longitudinal maps of ⋮ Periodic structure of transversal maps on \(\mathbb C\mathrm P^n\), \(\mathbb H\mathrm P^n\) and \(\mathbb S^p\times\mathbb S^q\) ⋮ Periodic points of self-maps of products of lens spaces \(L(3)\times L(3)\) ⋮ Periodic point free continuous self-maps on graphs and surfaces ⋮ Local fixed point indices of iterations of planar maps ⋮ Fixed point indices of iterated smooth maps in arbitrary dimension ⋮ Unnamed Item ⋮ The least number of 2-periodic points of a smooth self-map of \({S}^{2}\) of degree 2 equals 2 ⋮ General form of fixed point indices of an iteratedC1map and infiniteness of minimal periods ⋮ On the Lefschetz zeta function for a class of toral maps ⋮ Generating sequences of Lefschetz numbers of iterates ⋮ On the Lefschetz zeta function and the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms on products of \(\ell\)-spheres ⋮ Indices of the iterates of \(\mathbb R^3\)-homeomorphisms at Lyapunov stable fixed points ⋮ Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds ⋮ Minimal Lefschetz sets of periods for Morse–Smale diffeomorphisms on then-dimensional torus ⋮ Minimal sets of periods for Morse–Smale diffeomorphisms on non-orientable compact surfaces without boundary ⋮ Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms ⋮ On the Lefschetz zeta function for quasi-unipotent maps on then-dimensional torus ⋮ Periodic points of the planar area preserving Poincaré map inside isolating segment ⋮ Wecken's theorem for periodic points in dimension at least 3 ⋮ A Note on the Set of Periods of Transversal Homological Sphere Self-maps ⋮ Realization of all Dold's congruences with stability ⋮ Periodic points for sphere maps preserving monopole foliations ⋮ On the Lefschetz periodic point free continuous self-maps on connected compact manifolds ⋮ The Nielsen numbers of iterations of maps on infra-solvmanifolds of type (R) and periodic orbits ⋮ Indices of iterations and periodic points of simplicial maps of smooth type. ⋮ Dynamics of field line mappings in magnetic flux tubes ⋮ The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type \((\mathrm{R})\) ⋮ Powers of elements of the series substitution group \(\mathcal J(\mathbb Z_2)\). ⋮ Least number of periodic points of self-maps of Lie groups ⋮ A note on the periodic structure of transversal maps on the torus and products of spheres ⋮ Minimal number of periodic points for C 1 self-maps of compact simply-connected manifolds ⋮ Periodic structure of the transversal maps on surfaces ⋮ Periods of holomorphic maps on compact Riemann surfaces and product of spheres ⋮ Least number of \(n\)-periodic points of self-maps of \(PSU(2)\times PSU(2)\) ⋮ On the set of periods for the Morse–Smale diffeomorphisms on the disc withNholes ⋮ Fixed point indices of planar continuous maps
This page was built for publication: THE BEHAVIOR OF THE INDEX OF PERIODIC POINTS UNDER ITERATIONS OF A MAPPING
