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Basin of attraction of triangular maps with applications

Autor
Cima, A.; Gasull, A.; Mañosa, V.
Tipus d'activitat
Document cientificotècnic
Data
2013-07-25
Projecte finançador
Analysis and Identification of hysteresis systems using periodic orbits, DPI2011-25822
CONTROL, DIN¿MICA I APLICACIONS (CODALAB)
Repositori
http://hdl.handle.net/2117/20131 Obrir en finestra nova
URL
http://arxiv.org/abs/1307.6666 Obrir en finestra nova
Resum
We consider some planar triangular maps. These maps preserve certain fibration of the plane. We assume that there exists an invariant attracting fiber and we study the limit dynamics of those points in the basin of attraction of this invariant fiber, assuming that either it contains a global attractor, or it is filled by fixed or $2$-periodic points. Finally, we apply our results to a variety of examples, from particular cases of triangular systems to some planar quasi-homogeneous maps, and some...
Citació
Cima, A.; Gasull, A.; Mañosa, V. "Basin of attraction of triangular maps with applications". 2013.
Paraules clau
Attractors, Periodic Orbits, Triangular Maps, Discrete Dynamical Systems, Quasi-homogeneous Maps.
Grup de recerca
CoDAlab - Control, Dinàmica i Aplicacions

Participants

Arxius