Publications
92 results found
vanStrien S, 1996, Transitive maps which are not ergodic with respect to Lebesgue measure, ERGODIC THEORY AND DYNAMICAL SYSTEMS, Vol: 16, Pages: 833-848, ISSN: 0143-3857
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- Citations: 5
Galeeva R, VanStrien S, 1996, Which families of l-modal maps are full?, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol: 348, Pages: 3215-3221, ISSN: 0002-9947
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- Citations: 3
Bruin H, Keller G, Nowicki T, et al., 1996, Wild Cantor attractors exist, Annals of Mathematics, Vol: 143, Pages: 97-130
VANSTRIEN S, 1995, Real bounds in complex dynamics, NATO Advanced Study Institute on Real and Complex Dynamical Systems, Publisher: KLUWER ACADEMIC PUBL, Pages: 211-229, ISSN: 0258-2023
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- Citations: 1
Bruin H, Keller G, Nowicki T, et al., 1994, Absorbing Cantor sets in dynamical systems: Fibonacci maps
In this paper we shall show that there exists a polynomial unimodal map f:[0,1] -> [0,1] which is 1) non-renormalizable(therefore for each x from a residual set, $\omega(x)$is equal to an interval), 2) for which $\omega(c)$ is a Cantor set, and 3) for which $\omega(x)=\omega(c)$ for Lebesgue almost all x. So the topological and the metric attractor of such a map do not coincide.This gives the answer to a question posed by Milnor.
HOMMES CH, VANSTRIEN SJ, DEVILDER RG, 1994, CHAOTIC DYNAMICS IN A 2-DIMENSIONAL OVERLAPPING GENERATION MODEL - A NUMERICAL INVESTIGATION, International Conference on Predictability and Non-Linear Modelling in Natural Sciences and Economics at the 75th Anniversary of Wageningen-Agricultural-University, Publisher: KLUWER ACADEMIC PUBL, Pages: 621-632
Melo W, Strien S, 1993, One-Dimensional Dynamics, Publisher: Springer Berlin Heidelberg, ISBN: 9783642780455
MARTENS M, DEMELO W, VANSTRIEN S, 1992, JULIA-FATOU-SULLIVAN THEORY FOR REAL ONE-DIMENSIONAL DYNAMICS, ACTA MATHEMATICA, Vol: 168, Pages: 273-318, ISSN: 0001-5962
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- Citations: 84
NOWICKI T, VANSTRIEN S, 1991, INVARIANT-MEASURES EXIST UNDER A SUMMABILITY CONDITION FOR UNIMODAL MAPS, INVENTIONES MATHEMATICAE, Vol: 105, Pages: 123-136, ISSN: 0020-9910
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- Citations: 62
van Strien SJ, 1991, Interval Dynamics, Studies in Mathematical Physics, Publisher: Elsevier, Pages: 111-160
NOWICKI T, VANSTRIEN S, 1990, HYPERBOLICITY PROPERTIES OF C2 MULTIMODAL COLLET-ECKMANN MAPS WITHOUT SCHWARZIAN DERIVATIVE ASSUMPTIONS, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol: 321, Pages: 793-810, ISSN: 0002-9947
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- Citations: 6
MARTENS M, VANSTRIEN S, DEMELO W, et al., 1990, ON CHERRY FLOWS, ERGODIC THEORY AND DYNAMICAL SYSTEMS, Vol: 10, Pages: 531-554, ISSN: 0143-3857
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- Citations: 28
VANSTRIEN S, 1990, SMOOTH LINEARIZATION OF HYPERBOLIC FIXED-POINTS WITHOUT RESONANCE CONDITIONS, JOURNAL OF DIFFERENTIAL EQUATIONS, Vol: 85, Pages: 66-90, ISSN: 0022-0396
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- Citations: 25
GAMBAUDO JM, VANSTRIEN S, TRESSER C, 1990, TOWARD A SARKOVSKII ORDER FOR C-1 ORIENTATION PRESERVING EMBEDDINGS OF THE DISK, COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, Vol: 310, Pages: 291-294, ISSN: 0764-4442
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- Citations: 11
VANSTRIEN S, 1990, HYPERBOLICITY AND INVARIANT-MEASURES FOR GENERAL C2 INTERVAL MAPS SATISFYING THE MISIUREWICZ CONDITION, COMMUNICATIONS IN MATHEMATICAL PHYSICS, Vol: 128, Pages: 437-495, ISSN: 0010-3616
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- Citations: 29
NOWICKI T, VANSTRIEN S, 1990, NON-HYPERBOLICITY AND INVARIANT-MEASURES FOR UNIMODAL MAPS, ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, Vol: 53, Pages: 427-429, ISSN: 0246-0211
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- Citations: 1
BONCKAERT P, DUMORTIER F, VANSTRIEN S, 1989, SINGULARITIES OF VECTOR-FIELDS ON R3 DETERMINED BY THEIR 1ST NON-VANISHING JET, ERGODIC THEORY AND DYNAMICAL SYSTEMS, Vol: 9, Pages: 281-308, ISSN: 0143-3857
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- Citations: 10
DEMELO W, VANSTRIEN S, 1989, A STRUCTURE THEOREM IN ONE DIMENSIONAL DYNAMICS, ANNALS OF MATHEMATICS, Vol: 129, Pages: 519-546, ISSN: 0003-486X
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- Citations: 50
Gambaudo JM, van Strien S, Tresser C, 1989, Henon-like maps with strange attractors: there exist C<SUP>∞</SUP> Kupka-Smale diffeomorphisms on S<SUP>2</SUP> with neither sinks nor sources, NONLINEARITY, Vol: 2, Pages: 287-304, ISSN: 0951-7715
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- Citations: 38
GAMBAUDO JM, VANSTRIEN S, TRESSER C, 1989, THE PERIODIC ORBIT STRUCTURE OF ORIENTATION PRESERVING DIFFEOMORPHISMS ON D2 WITH TOPOLOGICAL-ENTROPY ZERO, ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, Vol: 50, Pages: 335-356, ISSN: 0246-0211
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- Citations: 12
DEMELO W, VANSTRIEN S, 1988, ONE-DIMENSIONAL DYNAMICS - THE SCHWARZIAN DERIVATIVE AND BEYOND, BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, Vol: 18, Pages: 159-162, ISSN: 0273-0979
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- Citations: 21
Strien SV, 1988, Smooth Dynamics on the Interval (with an emphasis on quadratic-like maps), New Directions in Dynamical Systems, Publisher: Cambridge University Press, Pages: 57-119
NOWICKI T, VANSTRIEN S, 1988, ABSOLUTELY CONTINUOUS INVARIANT-MEASURES FOR C2 UNIMODAL MAPS SATISFYING THE COLLET-ECKMANN CONDITIONS, INVENTIONES MATHEMATICAE, Vol: 93, Pages: 619-635, ISSN: 0020-9910
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- Citations: 21
DEMELO W, VANSTRIEN SJ, 1987, DIFFEOMORPHISMS ON SURFACES WITH A FINITE NUMBER OF MODULI, ERGODIC THEORY AND DYNAMICAL SYSTEMS, Vol: 7, Pages: 415-462, ISSN: 0143-3857
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- Citations: 19
VANSTRIEN SJ, DOSSANTOS GT, 1987, MODULI OF STABILITY FOR GERMS OF HOMOGENEOUS VECTORFIELDS ON R3, JOURNAL OF DIFFERENTIAL EQUATIONS, Vol: 69, Pages: 63-84, ISSN: 0022-0396
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- Citations: 5
VANSTRIEN SJ, 1987, NORMAL HYPERBOLICITY AND LINEARIZABILITY, INVENTIONES MATHEMATICAE, Vol: 87, Pages: 377-384, ISSN: 0020-9910
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- Citations: 5
BROER H, VANSTRIEN S, 1983, INFINITELY MANY MODULI OF STRONG STABILITY IN DIVERGENCE FREE UNFOLDINGS OF SINGULARITIES OF VECTOR-FIELDS, LECTURE NOTES IN MATHEMATICS, Vol: 1007, Pages: 39-59, ISSN: 0075-8434
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- Citations: 5
van Strien SJ, 1981, Saddle connections of arcs of diffeomorphisms: Moduli of stability, Lecture Notes in Mathematics, Publisher: Springer Berlin Heidelberg, Pages: 352-365, ISBN: 9783540111719
de Melo W, Palis J, van Strien SJ, 1981, Characterising diffeomorphisms with modulus of stability one, Lecture Notes in Mathematics, Publisher: Springer Berlin Heidelberg, Pages: 266-285, ISBN: 9783540111719
van Strien SJ, 1981, On the bifurcations creating horseshoes, Lecture Notes in Mathematics, Publisher: Springer Berlin Heidelberg, Pages: 316-351, ISBN: 9783540111719
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