On some rational piecewise linear rotations

Autor: Cima, Anna, Gasull, Armengol, Mañosa Fernández, Víctor, Mañosas, Francesc

We study the dynamics of the piecewise planar rotations $F_{\lambda}(z)=\lambda (z-H(z)), $ with $z\in\C$, $H(z)=1$ if $\mathrm{Im}(z)\ge0,$ $H(z)=-1$ if $\mathrm{Im}(z)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3484::bd5be123d1ac2d22ee1cfe014b1dac9e
https://hdl.handle.net/2117/390922

Asymptotic stability for block triangular maps

Autor: Cima Mollet, Anna, Gasull Embid, Armengol, Mañosa Fernández, Víctor

We prove a result concerning the asymptotic stability and the basin of attraction of fixed points for block triangular maps. This result is applied to some families of discrete dynamical systems and several types of difference equations This work is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3484::6d781187305e556d0c3467bf1d2b2d21
https://hdl.handle.net/2117/375676

Boundary value problems for second order linear difference equations: application to the computation of the inverse of generalized Jacobi matrices

Autor: María José Jiménez Jiménez, Andrés M. Encinas

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

We have named generalized Jacobi matrices to those that are practically tridiagonal, except for the two final entries and the two first entries of its first andits last row respectively. This class of matrices encompasses both standard Jacobiand peri

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d66a20ba041fad76f3a581600e5c1f5
https://doi.org/10.1007/s13398-019-00723-3

Hopf and Neimark-Sacker bifurcations: applications to discrete-time hypercycles with functional shifts

Autor: Perona García, Júlia

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Hypercycles are cyclic catalytic sets of replicating macromolecules, where each one of the species catalyzes the replication of the next species of the set. This system has been widely studied within the framework of origins of life and, more recentl

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::f78e6e37ac40d34a7b9fef80fcc7325e
http://hdl.handle.net/2117/356939

Global periodicity conditions for maps and recurrences via Normal Forms

Autor: Víctor Mañosa, Armengol Gasull, Anna Cima

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Universitat Jaume I

We face the problem of characterizing the periodic cases in parametric families of (real or complex) rational diffeomorphisms having a fixed point. Our approach relies on the Normal Form Theory, to obtain necessary conditions for the existence of a f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f174f5bcb3bc5621cd4b069ebdcf60d
http://hdl.handle.net/2072/410565