Bunimovich, Leonid Book review of: Nikolai Chernov and Roberto Markarian, Chaotic billiards. (English) Zbl 1292.00017 Bull. Am. Math. Soc., New Ser. 46, No. 4, 683-690 (2009). MSC: 00A17 37-02 37D50 37A25 37D25 37N05 82B99 37D45 PDFBibTeX XMLCite \textit{L. Bunimovich}, Bull. Am. Math. Soc., New Ser. 46, No. 4, 683--690 (2009; Zbl 1292.00017) Full Text: DOI
Dedecker, Jérôme; Merlevède, Florence Weak invariance principle and exponential bounds for some special functions of intermittent maps. (English) Zbl 1243.37008 Houdré, Christian (ed.) et al., High dimensional probability. V: The Luminy volume. Most papers based on the presentations at the conference (HDP V), Luminy, France, May 26–30, 2008. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 978-0-940600-78-2). Institute of Mathematical Statistics Collections 5, 60-72 (2009). MSC: 37A50 37C30 37D25 37E05 60F05 60F17 60J10 PDFBibTeX XMLCite \textit{J. Dedecker} and \textit{F. Merlevède}, Inst. Math. Stat. Collect. 5, 60--72 (2009; Zbl 1243.37008) Full Text: DOI Euclid
Dong, Gaogao; Zheng, Song; Tian, Lixin; Du, Ruijin; Sun, Mei; Shi, Zhiyan The analysis of a novel 3-D autonomous system and circuit implementation. (English) Zbl 1234.37029 Phys. Lett., A 373, No. 46, 4227-4238 (2009). MSC: 37D45 37D25 37M25 93A05 PDFBibTeX XMLCite \textit{G. Dong} et al., Phys. Lett., A 373, No. 46, 4227--4238 (2009; Zbl 1234.37029) Full Text: DOI
Ge, Zheng-Ming; Yang, Cheng-Hsiung Hyperchaos of four state autonomous system with three positive Lyapunov exponents. (English) Zbl 1227.81185 Phys. Lett., A 373, No. 3, 349-353 (2009). MSC: 81Q50 62H30 81P68 37H15 37D25 92B20 68U20 PDFBibTeX XMLCite \textit{Z.-M. Ge} and \textit{C.-H. Yang}, Phys. Lett., A 373, No. 3, 349--353 (2009; Zbl 1227.81185) Full Text: DOI
Bessa, Mário Are there chaotic maps in the sphere? (English) Zbl 1198.37040 Chaos Solitons Fractals 42, No. 1, 235-237 (2009). MSC: 37D45 37C75 37D25 PDFBibTeX XMLCite \textit{M. Bessa}, Chaos Solitons Fractals 42, No. 1, 235--237 (2009; Zbl 1198.37040) Full Text: DOI
Pei, Sen; Sun, Ye; Zhao, Zhen; Wang, Haitao; She, Zhikun Topological conditions on a class of one-dimensional chaotic maps. (Chinese. English summary) Zbl 1212.37039 Math. Pract. Theory 39, No. 19, 213-227 (2009). MSC: 37D45 37D25 PDFBibTeX XMLCite \textit{S. Pei} et al., Math. Pract. Theory 39, No. 19, 213--227 (2009; Zbl 1212.37039)
Wojtkowski, Maciej P. A simple proof of polar decomposition in pseudo-Euclidean geometry. (English) Zbl 1191.15012 Fundam. Math. 206, 299-306 (2009). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A23 37D25 37D30 47B50 15A63 PDFBibTeX XMLCite \textit{M. P. Wojtkowski}, Fundam. Math. 206, 299--306 (2009; Zbl 1191.15012) Full Text: DOI
Avila, Artur Density of positive Lyapunov exponents for quasiperiodic SL\((2, \mathbb R)\)-cocycles in arbitrary dimension. (English) Zbl 1191.34051 J. Mod. Dyn. 3, No. 4, 631-636 (2009). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C20 37D25 PDFBibTeX XMLCite \textit{A. Avila}, J. Mod. Dyn. 3, No. 4, 631--636 (2009; Zbl 1191.34051) Full Text: DOI arXiv
Vásquez, Carlos H. Stable ergodicity for partially hyperbolic attractors with positive central Lyapunov exponents. (English) Zbl 1185.37065 J. Mod. Dyn. 3, No. 2, 233-251 (2009). MSC: 37D30 37A25 37D25 PDFBibTeX XMLCite \textit{C. H. Vásquez}, J. Mod. Dyn. 3, No. 2, 233--251 (2009; Zbl 1185.37065) Full Text: DOI
Yung, Kai Leung; Lei, Youming; Xu, Yan Taming chaotic arrays by parametric excitation with proper random phase. (English) Zbl 1180.37045 Int. J. Mod. Phys. C 20, No. 10, 1633-1643 (2009). MSC: 37D45 37N35 60H10 37D25 37M25 93D05 PDFBibTeX XMLCite \textit{K. L. Yung} et al., Int. J. Mod. Phys. C 20, No. 10, 1633--1643 (2009; Zbl 1180.37045) Full Text: DOI
Damanik, David; Krüger, Helge Almost periodic Szegő cocycles with uniformly positive Lyapunov exponents. (English) Zbl 1185.37063 J. Approx. Theory 161, No. 2, 813-818 (2009). Reviewer: Gerald Teschl MSC: 37D25 42C05 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{H. Krüger}, J. Approx. Theory 161, No. 2, 813--818 (2009; Zbl 1185.37063) Full Text: DOI arXiv
Bonatti, Christian; Gan, Shaobo; Yang, Dawei On the hyperbolicity of homoclinic classes. (English) Zbl 1200.37023 Discrete Contin. Dyn. Syst. 25, No. 4, 1143-1162 (2009). Reviewer: Peter Giesl (Brighton) MSC: 37D20 37D30 37D25 PDFBibTeX XMLCite \textit{C. Bonatti} et al., Discrete Contin. Dyn. Syst. 25, No. 4, 1143--1162 (2009; Zbl 1200.37023) Full Text: DOI
Deroin, B.; Kleptsyn, V.; Navas, A. On the question of ergodicity for minimal group actions on the circle. (English) Zbl 1193.37034 Mosc. Math. J. 9, No. 2, 263-303 (2009). Reviewer: Javier de Lucas (Warszawa) MSC: 37C85 37A50 37D25 37E10 37F15 PDFBibTeX XMLCite \textit{B. Deroin} et al., Mosc. Math. J. 9, No. 2, 263--303 (2009; Zbl 1193.37034) Full Text: arXiv Link
Bufetov, Alexander I. Logarithmic asymptotics for the number of periodic orbits of the Teichmüller flow on Veech’s space of zippered rectangles. (English) Zbl 1188.37001 Mosc. Math. J. 9, No. 2, 245-261 (2009). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 37-02 37D25 37A50 37B40 37C40 PDFBibTeX XMLCite \textit{A. I. Bufetov}, Mosc. Math. J. 9, No. 2, 245--261 (2009; Zbl 1188.37001) Full Text: arXiv Link
Horita, Vanderlei; Oliveira, Krerley Non-lacunary Gibbs measures for certain fractal repellers. (English) Zbl 1177.37033 J. Stat. Phys. 136, No. 5, 842-863 (2009). MSC: 37D25 37D35 PDFBibTeX XMLCite \textit{V. Horita} and \textit{K. Oliveira}, J. Stat. Phys. 136, No. 5, 842--863 (2009; Zbl 1177.37033) Full Text: DOI
Schnellmann, Daniel Positive Lyapunov exponents for quadratic skew-products over a Misiurewicz-Thurston map. (English) Zbl 1179.37055 Nonlinearity 22, No. 11, 2681-2695 (2009). Reviewer: Tomas Persson (Warszawa) MSC: 37D99 37E99 37C99 37D25 PDFBibTeX XMLCite \textit{D. Schnellmann}, Nonlinearity 22, No. 11, 2681--2695 (2009; Zbl 1179.37055) Full Text: DOI
Xia, Hongqiang Multidimensional local central limit theorem of some non-uniformly hyperbolic systems. (English) Zbl 1183.37074 Acta Math. Sin., Engl. Ser. 25, No. 4, 565-580 (2009). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37D50 37D25 PDFBibTeX XMLCite \textit{H. Xia}, Acta Math. Sin., Engl. Ser. 25, No. 4, 565--580 (2009; Zbl 1183.37074) Full Text: DOI
Koltsova, Oksana; Lerman, Lev Hamiltonian dynamics near nontransverse homoclinic orbit to saddle-focus equilibrium. (English) Zbl 1188.37029 Discrete Contin. Dyn. Syst. 25, No. 3, 883-913 (2009). Reviewer: Jan Andres (Olomouc) MSC: 37D05 37D25 70H07 PDFBibTeX XMLCite \textit{O. Koltsova} and \textit{L. Lerman}, Discrete Contin. Dyn. Syst. 25, No. 3, 883--913 (2009; Zbl 1188.37029) Full Text: DOI
de Simoi, Jacopo Stability and instability results in a model of Fermi acceleration. (English) Zbl 1182.37023 Discrete Contin. Dyn. Syst. 25, No. 3, 719-750 (2009). Reviewer: Tomas Persson (Warszawa) MSC: 37D25 37J40 37J25 70H12 PDFBibTeX XMLCite \textit{J. de Simoi}, Discrete Contin. Dyn. Syst. 25, No. 3, 719--750 (2009; Zbl 1182.37023) Full Text: DOI arXiv
Buzzi, Jérôme Dimensional entropies and semi-uniform hyperbolicity. (English) Zbl 1180.37009 Sidoravičius, Vladas (ed.), New trends in mathematical physics. Selected contributions of the XVth international congress on mathematical physics, Rio de Janeiro, Brazil, August 5–11, 2006. Dordrecht: Springer (ISBN 978-90-481-2809-9/hbk; 978-90-481-2810-5/ebook). 95-116 (2009). Reviewer: Tomas Persson (Warszawa) MSC: 37A35 37C40 37D25 PDFBibTeX XMLCite \textit{J. Buzzi}, in: New trends in mathematical physics. Selected contributions of the XVth international congress on mathematical physics, Rio de Janeiro, Brazil, August 5--11, 2006. Dordrecht: Springer. 95--116 (2009; Zbl 1180.37009) Full Text: DOI arXiv
Barreira, Luis; Valls, Claudia Existence of nonuniform exponential dichotomies and a Fredholm alternative. (English) Zbl 1175.37032 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 11, 5220-5228 (2009). MSC: 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 11, 5220--5228 (2009; Zbl 1175.37032) Full Text: DOI
Qian, Min; Xie, Jian-Sheng; Zhu, Shu Smooth ergodic theory for endomorphisms. (English) Zbl 1182.37003 Lecture Notes in Mathematics 1978. Berlin: Springer (ISBN 978-3-642-01953-1/pbk; 978-3-642-01954-8/ebook). xiii, 277 p. (2009). Reviewer: Thomas Ward (Norwich) MSC: 37-02 37C40 37D25 37H15 PDFBibTeX XMLCite \textit{M. Qian} et al., Smooth ergodic theory for endomorphisms. Berlin: Springer (2009; Zbl 1182.37003) Full Text: DOI
Barreira, Luis; Valls, Claudia A Grobman-Hartman theorem for general nonuniform exponential dichotomies. (English) Zbl 1178.37031 J. Funct. Anal. 257, No. 6, 1976-1993 (2009). Reviewer: Angela Slavova (Sofia) MSC: 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Funct. Anal. 257, No. 6, 1976--1993 (2009; Zbl 1178.37031) Full Text: DOI
Diller, Jeffrey; Guedj, Vincent Regularity of dynamical Green’s functions. (English) Zbl 1172.32004 Trans. Am. Math. Soc. 361, No. 9, 4783-4805 (2009). MSC: 32H50 37F10 37D25 32U40 PDFBibTeX XMLCite \textit{J. Diller} and \textit{V. Guedj}, Trans. Am. Math. Soc. 361, No. 9, 4783--4805 (2009; Zbl 1172.32004) Full Text: DOI arXiv
Gelfert, Katrin; Rams, Michał The Lyapunov spectrum of some parabolic systems. (English) Zbl 1180.37051 Ergodic Theory Dyn. Syst. 29, No. 3, 919-940 (2009). Reviewer: Helena Mihaljevic-Brandt (Kiel) MSC: 37E05 37F35 37C25 37C45 37D25 37D35 PDFBibTeX XMLCite \textit{K. Gelfert} and \textit{M. Rams}, Ergodic Theory Dyn. Syst. 29, No. 3, 919--940 (2009; Zbl 1180.37051) Full Text: DOI arXiv
Barreira, Luis; Valls, Claudia Center manifolds for infinite delay. (English) Zbl 1203.37044 J. Differ. Equations 247, No. 4, 1297-1310 (2009). Reviewer: Pei-Chu Hu (Jinan) MSC: 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Differ. Equations 247, No. 4, 1297--1310 (2009; Zbl 1203.37044) Full Text: DOI
Bento, António J. G.; Silva, César Stable manifolds for nonuniform polynomial dichotomies. (English) Zbl 1194.47017 J. Funct. Anal. 257, No. 1, 122-148 (2009). Reviewer: Anke Pohl (Zürich) MSC: 47A55 37D10 37D25 PDFBibTeX XMLCite \textit{A. J. G. Bento} and \textit{C. Silva}, J. Funct. Anal. 257, No. 1, 122--148 (2009; Zbl 1194.47017) Full Text: DOI
Barreira, Luis; Valls, Claudia Nonuniform exponential contractions and Lyapunov sequences. (English) Zbl 1173.37029 J. Differ. Equations 246, No. 12, 4743-4771 (2009). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37D25 93D30 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Differ. Equations 246, No. 12, 4743--4771 (2009; Zbl 1173.37029) Full Text: DOI
Steinwart, Ingo; Anghel, Marian Consistency of support vector machines for forecasting the evolution of an unknown ergodic dynamical system from observations with unknown noise. (English) Zbl 1162.62089 Ann. Stat. 37, No. 2, 841-875 (2009). MSC: 62M20 37C99 62M45 68Q32 37D25 37M10 60K99 68T05 PDFBibTeX XMLCite \textit{I. Steinwart} and \textit{M. Anghel}, Ann. Stat. 37, No. 2, 841--875 (2009; Zbl 1162.62089) Full Text: DOI arXiv
Melbourne, Ian; Nicol, Matthew A vector-valued almost sure invariance principle for hyperbolic dynamical systems. (English) Zbl 1176.37006 Ann. Probab. 37, No. 2, 478-505 (2009). Reviewer: Jacques Franchi (Strasbourg) MSC: 37A50 37D20 37D25 37D50 60F17 PDFBibTeX XMLCite \textit{I. Melbourne} and \textit{M. Nicol}, Ann. Probab. 37, No. 2, 478--505 (2009; Zbl 1176.37006) Full Text: DOI arXiv
Araújo, Vítor; Pacifico, Maria José Physical measures for infinite-modal maps. (English) Zbl 1173.37015 Fundam. Math. 203, No. 3, 211-262 (2009). Reviewer: Peter Zabreiko (Minsk) MSC: 37C40 37D25 37A25 37A35 60F05 PDFBibTeX XMLCite \textit{V. Araújo} and \textit{M. J. Pacifico}, Fundam. Math. 203, No. 3, 211--262 (2009; Zbl 1173.37015) Full Text: DOI arXiv
Melbourne, Ian Large and moderate deviations for slowly mixing dynamical systems. (English) Zbl 1167.37020 Proc. Am. Math. Soc. 137, No. 5, 1735-1741 (2009). Reviewer: Eugene Ershov (St. Petersburg) MSC: 37D25 37A50 60F10 PDFBibTeX XMLCite \textit{I. Melbourne}, Proc. Am. Math. Soc. 137, No. 5, 1735--1741 (2009; Zbl 1167.37020) Full Text: DOI
Bruin, Henk; Todd, Mike Return time statistics of invariant measures for interval maps with positive Lyapunov exponent. (English) Zbl 1175.37044 Stoch. Dyn. 9, No. 1, 81-100 (2009). MSC: 37E05 37A05 37B20 37D25 PDFBibTeX XMLCite \textit{H. Bruin} and \textit{M. Todd}, Stoch. Dyn. 9, No. 1, 81--100 (2009; Zbl 1175.37044) Full Text: DOI arXiv
Baladi, Viviane; Smania, Daniel Analyticity of the SRB measure for holomorphic families of quadratic-like Collet-Eckmann maps. (English) Zbl 1170.37016 Proc. Am. Math. Soc. 137, No. 4, 1431-1437 (2009). Reviewer: Peter Zabreiko (Minsk) MSC: 37C40 37C30 37D25 37E05 PDFBibTeX XMLCite \textit{V. Baladi} and \textit{D. Smania}, Proc. Am. Math. Soc. 137, No. 4, 1431--1437 (2009; Zbl 1170.37016) Full Text: DOI arXiv
Saghin, Radu; Xia, Zhihong Geometric expansion, Lyapunov exponents and foliations. (English) Zbl 1173.37031 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 689-704 (2009). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37D30 37D25 26B15 57R30 PDFBibTeX XMLCite \textit{R. Saghin} and \textit{Z. Xia}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 689--704 (2009; Zbl 1173.37031) Full Text: DOI arXiv EuDML
Gouëzel, Sébastien Local limit theorem for nonuniformly partially hyperbolic skew-products and Farey sequences. (English) Zbl 1170.37006 Duke Math. J. 147, No. 2, 193-284 (2009). Reviewer: Makoto Mori (Tokyo) MSC: 37A25 37A50 37D30 37A30 37D25 PDFBibTeX XMLCite \textit{S. Gouëzel}, Duke Math. J. 147, No. 2, 193--284 (2009; Zbl 1170.37006) Full Text: DOI arXiv
Liang, Chao; Liu, Geng; Sun, Wenxiang Approximation properties on invariant measure and Oseledec splitting in non-uniformly hyperbolic systems. (English) Zbl 1168.37006 Trans. Am. Math. Soc. 361, No. 3, 1543-1579 (2009). Reviewer: Michael L. Blank (Moskva) MSC: 37C40 37D25 37H15 37A35 PDFBibTeX XMLCite \textit{C. Liang} et al., Trans. Am. Math. Soc. 361, No. 3, 1543--1579 (2009; Zbl 1168.37006) Full Text: DOI
Gelfert, Katrin Equality of pressures for diffeomorphisms preserving hyperbolic measures. (English) Zbl 1166.37011 Math. Z. 261, No. 4, 711-724 (2009). Reviewer: Eleonora Catsigeras (Montevideo) MSC: 37D25 37D35 28D20 PDFBibTeX XMLCite \textit{K. Gelfert}, Math. Z. 261, No. 4, 711--724 (2009; Zbl 1166.37011) Full Text: DOI arXiv
Jiang, Jifa; Mierczyński, Janusz; Wang, Yi Smoothness of the carrying simplex for discrete-time competitive dynamical systems: A characterization of neat embedding. (English) Zbl 1166.37009 J. Differ. Equations 246, No. 4, 1623-1672 (2009). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37D10 37C65 37N25 92D25 37D25 PDFBibTeX XMLCite \textit{J. Jiang} et al., J. Differ. Equations 246, No. 4, 1623--1672 (2009; Zbl 1166.37009) Full Text: DOI
Facchini, Angelo; Mocenni, Chiara; Vicino, Antonio Generalized recurrence plots for the analysis of images from spatially distributed systems. (English) Zbl 1155.37317 Physica D 238, No. 2, 162-169 (2009). MSC: 37D25 37M10 37N99 68U10 PDFBibTeX XMLCite \textit{A. Facchini} et al., Physica D 238, No. 2, 162--169 (2009; Zbl 1155.37317) Full Text: DOI
Freitas, Jorge Milhazes; Todd, Mike The statistical stability of equilibrium states for interval maps. (English) Zbl 1166.37014 Nonlinearity 22, No. 2, 259-281 (2009). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37E05 37D35 37C40 37D25 PDFBibTeX XMLCite \textit{J. M. Freitas} and \textit{M. Todd}, Nonlinearity 22, No. 2, 259--281 (2009; Zbl 1166.37014) Full Text: DOI arXiv
Melbourne, Ian Decay of correlations for slowly mixing flows. (English) Zbl 1158.37005 Proc. Lond. Math. Soc. (3) 98, No. 1, 163-190 (2009). Reviewer: Eugene Ershov (St. Petersburg) MSC: 37A25 37D25 37D50 PDFBibTeX XMLCite \textit{I. Melbourne}, Proc. Lond. Math. Soc. (3) 98, No. 1, 163--190 (2009; Zbl 1158.37005) Full Text: DOI arXiv Link
Barreira, Luis; Valls, Claudia Lyapunov sequences for exponential dichotomies. (English) Zbl 1153.37013 J. Differ. Equations 246, No. 1, 183-215 (2009). MSC: 37C60 37D25 93D30 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Differ. Equations 246, No. 1, 183--215 (2009; Zbl 1153.37013) Full Text: DOI
Cui, Hongfei Statistical properties of interval maps with critical points and discontinuities. arXiv:0912.1471 Preprint, arXiv:0912.1471 [math.DS] (2009). MSC: 37E05 28D05 37D25 BibTeX Cite \textit{H. Cui}, ``Statistical properties of interval maps with critical points and discontinuities'', Preprint, arXiv:0912.1471 [math.DS] (2009) Full Text: arXiv OA License
Cui, Hongfei; Ding, Yiming Wandering intervals and absolutely continuous invariant probability measures of interval maps. arXiv:0912.1469 Preprint, arXiv:0912.1469 [math.DS] (2009). MSC: 37E05 28D05 37D25 BibTeX Cite \textit{H. Cui} and \textit{Y. Ding}, ``Wandering intervals and absolutely continuous invariant probability measures of interval maps'', Preprint, arXiv:0912.1469 [math.DS] (2009) Full Text: arXiv OA License
Bento, António J. G.; Silva, César Nonautonomous equations, generalized dichotomies and stable manifolds. arXiv:0905.4935 Preprint, arXiv:0905.4935 [math.DS] (2009). MSC: 37D10 34D09 37D25 BibTeX Cite \textit{A. J. G. Bento} and \textit{C. Silva}, ``Nonautonomous equations, generalized dichotomies and stable manifolds'', Preprint, arXiv:0905.4935 [math.DS] (2009) Full Text: arXiv OA License