[КНИГА][B] Robust chaos and its applications
E Zeraoulia - 2012 - books.google.com
Robust chaos is defined by the absence of periodic windows and coexisting attractors in
some neighborhoods in the parameter space of a dynamical system. This unique book …
some neighborhoods in the parameter space of a dynamical system. This unique book …
A global perspective for non-conservative dynamics
J Palis - Annales de l'IHP Analyse non linéaire, 2005 - numdam.org
Résumé Depuis le travail fondamental de Poincaré sur l'étude qualitative des équations
différentielles en 1881, l'idée de chercher la description du comportement à long terme des …
différentielles en 1881, l'idée de chercher la description du comportement à long terme des …
Stability and bifurcations for dissipative polynomial automorphisms of
R Dujardin, M Lyubich - Inventiones mathematicae, 2015 - Springer
We study stability and bifurcations in holomorphic families of polynomial automorphisms of
C^ 2 C 2. We say that such a family is weakly stable over some parameter domain if periodic …
C^ 2 C 2. We say that such a family is weakly stable over some parameter domain if periodic …
Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials
O Kozlovski, S Van Strien - Proceedings of the London …, 2009 - academic.oup.com
We prove that topologically conjugate non-renormalizable polynomials are quasi-
conformally conjugate. From this we derive that each such polynomial can be approximated …
conformally conjugate. From this we derive that each such polynomial can be approximated …
Rigidity of esca** dynamics for transcendental entire functions
L Rempe - Acta mathematica, 2009 - projecteuclid.org
We prove an analog of Böttcher's theorem for transcendental entire functions in the
Eremenko–Lyubich class $\mathcal {B} $. More precisely, let f and g be entire functions with …
Eremenko–Lyubich class $\mathcal {B} $. More precisely, let f and g be entire functions with …
Open questions leading to a global perspective in dynamics
J Palis - Nonlinearity, 2008 - iopscience.iop.org
In this paper, I address one of the most challenging and central problems in dynamical
systems, which here means flows, diffeomophisms or, more generally, transformations …
systems, which here means flows, diffeomophisms or, more generally, transformations …
Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts
A Avila, J Bochi, D Damanik - 2009 - projecteuclid.org
We consider continuous SL (2, R)-cocycles over a strictly ergodic homeomorphism that
fibers over an almost periodic dynamical system (generalized skew-shifts). We prove that …
fibers over an almost periodic dynamical system (generalized skew-shifts). We prove that …
Heterogeneously coupled maps: hub dynamics and emergence across connectivity layers
The aim of this paper is to rigorously study the dynamics of Heterogeneously Coupled Maps
(HCM). Such systems are determined by a network with heterogeneous degrees. Some …
(HCM). Such systems are determined by a network with heterogeneous degrees. Some …