P.O. Box 653, Beer-Sheva, 84105, Negev, Israel
Department of Mathematics, Ben-Gurion University of the Negev
Belitskii G. R., Tkachenko V. A.
Moduli of local one-dimensional dynamical systems at a hyperbolic fixed point
2006, vol. 11, no. 2, pp. 141-154
Functional moduli of a smooth conjugacy of local $C^1$-diffeomorphisms and $C^1$-flows at a hyperbolic fixed point are introduced. Conditions for the smooth linearization, existence of iterative roots and embeddability in terms of these moduli are found