Energy function as a complete topological invariant for gradient-like cascades on surfaces
V. E. Kruglov1, O. V. Pochinka2
|In this paper we consider dynamical systems with discrete time generated by iterations of a gradient-like diffeomorphism of a surface whose non-wandering set consists of fixed points of positive type orientation. We prove that the class of topological conjugacy of such a system is completely determined by equivalence class of its energy Morse function.
|energy function, gradient-like diffeomorphism
1Student, Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod
2Professor of the department of fundamental mathematics, High School Economy, Nizhny Novgorod
Citation: V. E. Kruglov, O. V. Pochinka, "[Energy function as a complete topological invariant for gradient-like cascades on surfaces]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:3 (2014) 57–61 (In Russian)