RT Journal Article
T1 Fixed point index and decompositions of planar invariant compacta
A1 Romero Ruiz del Portal, Francisco
A1 Salazar, J. M.
AB Let U c R2 be an open subset and let f :U → f (U) c R2 be a homeomorphism. Let M = M1 U· · ·U Mr C U be a disjoint union of discs that isolates the invariant compactum K. The aimof this paper is to study the dynamics of f in K and to use the fixed point index to detect, in a simple and geometric way, the existence of periodic orbits on which f follows a determined pattern. Our method allows us to compute the fixed point index of every iteration of f in a neighborhood of the periodic orbits following a given itinerary in classical and important semidynamical systems with chaotic dynamics.
PB Elsevier Science
SN 0166-8641
YR 2004
FD 2004
LK https://hdl.handle.net/20.500.14352/50345
UL https://hdl.handle.net/20.500.14352/50345
LA eng
NO MCyT
DS Docta Complutense
RD 17 abr 2025