RT Journal Article
T1 A Poincare Formula for the Fixed Point Indices of the Iterates of Arbitrary Planar Homeomorphisms
A1 Romero Ruiz del Portal, Francisco
A1 Salazar, J. M.
AB Let U subset of R(2) be an open subset and f : U -> R(2) be an arbitrary local homeomorphism with Fix(f) = {p}. We compute the fixed point indices of the iterates of f at p, i(R2)(f(k), p), and we identify these indices in dynamical terms. Therefore, we obtain a sort of Poincare index formula without differentiability assumptions. Our techniques apply equally to both orientation preserving and orientation reversing homeomorphisms. We present some new results, especially in the orientation reversing case.
PB Hindawi Publishing Coporation
SN 1687-1820
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42536
UL https://hdl.handle.net/20.500.14352/42536
LA eng
NO Dedicated to professor José M. Montesinos in the occasion of his 65th birthday and to the memory of professor Julián Martínez.
NO MICINN
DS Docta Complutense
RD 20 abr 2025