On the topology of solenoidal attractors of the cylinder

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

Volumn 23, Issue 2, 2006, Pages 209-236

  Bamón, Rodrigo ^a   Kiwi, Jan ^b   Rivera Letelier, Juan ^c   Urzúa, Richard ^c  

^a UNIVERSITY OF CHILE   (Chile)

^b PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE   (Chile)

^c UNIVERSIDAD CATÓLICA DEL NORTE   (Chile)

Author keywords

Attractors; Endomorphisms

Indexed keywords

FUNCTION EVALUATION; NUMERICAL ANALYSIS; SOLENOIDS; TOPOLOGY;

ATTRACTORS; ENDOMORPHISMS; LIPSCHITZ FUNCTION; TOPOLOGICAL PROPERTIES;

CYLINDERS (CONTAINERS);

EID: 31344473492     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpc.2005.03.002     Document Type: Article

References (12)

1. T. Bousch La condition de Walters Ann. Sci. École Norm. Sup. 34 2001 287 311
2. G. Contreras, A.O. Lopes, and Ph. Thieullen Lyapunov minimizing measures for expanding maps of the circle Ergodic Theory Dynam. Systems 21 2001 1379 1409
3. V.A. Dobrynskiǐ There exist endomorphisms of a plane that have two-dimensional attractors Dokl. Akad. Nauk 364 1999 303 305
4. P. Frederickson, J.L. Kaplan, E.D. Yorke, and J.A. Yorke The Liapunov dimension of strange attractors J. Differential Equations 49 1983 185 207
5. O. Jenkinson, R.D. Mauldin, M. Urbański, Ergodic optimization for non-compact dynamical systems, preprint, September 2004
6. J.L. Kaplan, and J.A. Yorke Chaotic behavior of multidimensional difference equations Functional differential equations and approximation of fixed points, Proc. Summer School and Conf., Univ. Bonn, Bonn, 1978 Lecture Notes in Math. vol. 730 1979 Springer Berlin 204 227
7. Y. Katznelson An Introduction to Harmonic Analysis 1976 Dover
8. J. Milnor On the concept of attractor Comm. Math. Phys. 99 1985 177 195
9. F. Pryzyticki On U-stability and structural stability of endomorphisms satisfying Axiom A Studia Math. 60 1977 61 77
10. M. Tsujii Fat solenoidal attractors Nonlinearity 14 2001 1011 1027
11. M. Tsujii Physical measures for partially hyperbolic surface endomorphisms math.DS/0301243
12. M. Viana Multidimensional nonhyperbolic attractors Inst. Hautes Études Sci. Publ. Math. 85 1997 63 96