Barreira, Luís; Pesin, Yakov Introduction to smooth ergodic theory. 2nd edition. (English) Zbl 1511.37002 Graduate Studies in Mathematics 231. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7065-4/hbk; 978-1-4704-7307-5/pbk; 978-1-4704-7306-8/ebook). xv, 336 p. (2023). MSC: 37-01 37C40 37Dxx PDFBibTeX XMLCite \textit{L. Barreira} and \textit{Y. Pesin}, Introduction to smooth ergodic theory. 2nd edition. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1511.37002) Full Text: DOI
Barreira, Luis; Valls, Claudia Center manifolds for delay-differential equations with variable argument. (English) Zbl 07672183 Period. Math. Hung. 86, No. 1, 172-190 (2023). MSC: 34K19 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Period. Math. Hung. 86, No. 1, 172--190 (2023; Zbl 07672183) Full Text: DOI
Barreira, Luís; Valls, Claudia Evolution groups and reversibility. (English) Zbl 1515.37084 Ann. Funct. Anal. 14, No. 2, Paper No. 35, 47 p. (2023). MSC: 37L05 37D10 47D06 34G20 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Ann. Funct. Anal. 14, No. 2, Paper No. 35, 47 p. (2023; Zbl 1515.37084) Full Text: DOI
Barreira, Luís; Valls, Claudia Characterizations of hyperbolicity in difference equations with delay. (English) Zbl 1508.39001 Result. Math. 78, No. 1, Paper No. 19, 22 p. (2023). MSC: 39A06 37D10 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Result. Math. 78, No. 1, Paper No. 19, 22 p. (2023; Zbl 1508.39001) Full Text: DOI
Barreira, Luis; Valls, Claudia Evolution maps and symmetry. (English) Zbl 1496.37027 J. Difference Equ. Appl. 28, No. 3, 355-384 (2022). MSC: 37D05 37D10 37C75 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Difference Equ. Appl. 28, No. 3, 355--384 (2022; Zbl 1496.37027) Full Text: DOI
Barreira, Luis; Valls, Claudia Hyperbolicity in delay equations. (English) Zbl 1483.34003 Series in Applied and Computational Mathematics 4. Hackensack, NJ: World Scientific (ISBN 978-981-12-3024-0/hbk; 978-981-12-3026-4/ebook). ix, 230 p. (2021). Reviewer: Vladimir Răsvan (Craiova) MSC: 34-02 34K06 34K20 34K19 34K08 34K25 34D09 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Hyperbolicity in delay equations. Hackensack, NJ: World Scientific (2021; Zbl 1483.34003) Full Text: DOI
Barreira, Luís; Rijo, João; Valls, Claudia Stable manifolds for difference equations with infinite delay. (English) Zbl 1465.37042 J. Difference Equ. Appl. 26, No. 9-10, 1266-1287 (2020). Reviewer: Nicolae Lupa (Timişoara) MSC: 37D10 37C60 39A30 PDFBibTeX XMLCite \textit{L. Barreira} et al., J. Difference Equ. Appl. 26, No. 9--10, 1266--1287 (2020; Zbl 1465.37042) Full Text: DOI
Barreira, Luis; Valls, Claudia Evolution maps and center manifolds. (English) Zbl 1462.39015 Aequationes Math. 94, No. 6, 1213-1239 (2020). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 39A30 37D25 37D10 47D06 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Aequationes Math. 94, No. 6, 1213--1239 (2020; Zbl 1462.39015) Full Text: DOI
Barreira, Luis; Valls, Claudia Center manifolds for delay equations. (English) Zbl 1466.34061 Funkc. Ekvacioj, Ser. Int. 63, No. 1, 39-65 (2020). Reviewer: Gheorghe Moroşanu (Cluj-Napoca) MSC: 34K19 37D99 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Funkc. Ekvacioj, Ser. Int. 63, No. 1, 39--65 (2020; Zbl 1466.34061) Full Text: DOI
Barreira, Luis; Valls, Claudia Center manifolds for nonautonomous dynamics via evolution semigroups. (English) Zbl 1444.37061 J. Fixed Point Theory Appl. 22, No. 2, Paper No. 44, 35 p. (2020). Reviewer: Rodica Luca (Iaşi) MSC: 37L05 37D10 47D06 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Fixed Point Theory Appl. 22, No. 2, Paper No. 44, 35 p. (2020; Zbl 1444.37061) Full Text: DOI
Barreira, Luis; Rijo, João; Valls, Claudia Characterization of tempered exponential dichotomies. (English) Zbl 1441.37023 J. Korean Math. Soc. 57, No. 1, 171-194 (2020). MSC: 37B55 37C75 37D10 PDFBibTeX XMLCite \textit{L. Barreira} et al., J. Korean Math. Soc. 57, No. 1, 171--194 (2020; Zbl 1441.37023) Full Text: DOI
Barreira, Luis; Valls, Claudia Parameter dependence of smooth stable manifolds. (English) Zbl 1501.37025 J. Korean Math. Soc. 56, No. 3, 825-855 (2019). MSC: 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Korean Math. Soc. 56, No. 3, 825--855 (2019; Zbl 1501.37025) Full Text: DOI
Barreira, Luis; Valls, Claudia \(C^k\) invariant manifolds for infinite delay. (English) Zbl 1426.37027 Electron. J. Differ. Equ. 2019, Paper No. 50, 15 p. (2019). Reviewer: Thanin Sitthiwirattham (Bangkok) MSC: 37D10 39A12 39A10 39A30 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Electron. J. Differ. Equ. 2019, Paper No. 50, 15 p. (2019; Zbl 1426.37027) Full Text: Link
Barreira, Luis; Valls, Claudia Conjugacies and invariant manifolds via evolution semigroups. (English) Zbl 1442.37047 Quaest. Math. 42, No. 2, 217-241 (2019). MSC: 37D25 37D10 37C60 37L05 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Quaest. Math. 42, No. 2, 217--241 (2019; Zbl 1442.37047) Full Text: DOI
Barreira, Luis; Valls, Claudia Lower bounds along stable manifolds. (English) Zbl 1397.37027 Glasg. Math. J. 60, No. 3, 527-537 (2018). MSC: 37D10 37C75 39A12 39A30 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Glasg. Math. J. 60, No. 3, 527--537 (2018; Zbl 1397.37027) Full Text: DOI
Barreira, Luis; Valls, Claudia Stable manifolds for perturbations of exponential dichotomies in mean. (English) Zbl 1387.37031 Stoch. Dyn. 18, No. 3, Article ID 1850022, 31 p. (2018). MSC: 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Stoch. Dyn. 18, No. 3, Article ID 1850022, 31 p. (2018; Zbl 1387.37031) Full Text: DOI
Barreira, Luis; Valls, Claudia Stable invariant manifolds for delay equations with piecewise constant argument. (English) Zbl 1395.34078 J. Difference Equ. Appl. 24, No. 1, 148-163 (2018). Reviewer: Victor I. Tkachenko (Kyïv) MSC: 34K19 34K30 34D09 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Difference Equ. Appl. 24, No. 1, 148--163 (2018; Zbl 1395.34078) Full Text: DOI
Barreira, Luis; Valls, Claudia Lyapunov functions for dichotomies in mean. (English) Zbl 1375.37090 Electron. J. Differ. Equ. 2017, Paper No. 252, 12 p. (2017). MSC: 37D25 37D10 37C75 93D30 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Electron. J. Differ. Equ. 2017, Paper No. 252, 12 p. (2017; Zbl 1375.37090) Full Text: Link
Barreira, Luis; Dragičević, Davor; Valls, Claudia Existence of conjugacies and stable manifolds via suspensions. (English) Zbl 1373.37084 Electron. J. Differ. Equ. 2017, Paper No. 172, 11 p. (2017). MSC: 37D10 37C15 PDFBibTeX XMLCite \textit{L. Barreira} et al., Electron. J. Differ. Equ. 2017, Paper No. 172, 11 p. (2017; Zbl 1373.37084) Full Text: Link
Barreira, Luis; Popescu, Liviu Horia; Valls, Claudia Generalized exponential behavior and topological equivalence. (English) Zbl 1372.37045 Discrete Contin. Dyn. Syst., Ser. B 22, No. 8, 3023-3042 (2017). MSC: 37C15 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 8, 3023--3042 (2017; Zbl 1372.37045) Full Text: DOI
Barreira, Luis; Li, Jinjun; Valls, Claudia Irregular sets of two-sided Birkhoff averages and hyperbolic sets. (English) Zbl 1361.37009 Ark. Mat. 54, No. 1, 13-30 (2016). MSC: 37A30 37D05 37C40 60J05 PDFBibTeX XMLCite \textit{L. Barreira} et al., Ark. Mat. 54, No. 1, 13--30 (2016; Zbl 1361.37009) Full Text: DOI
Barreira, Luis; Valls, Claudia Analytic invariant manifolds for nonautonomous equations. (English) Zbl 1364.37068 Topol. Methods Nonlinear Anal. 46, No. 1, 29-43 (2015). MSC: 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Topol. Methods Nonlinear Anal. 46, No. 1, 29--43 (2015; Zbl 1364.37068) Full Text: DOI
Barreira, Luis; Dragičević, Davor; Valls, Claudia From one-sided dichotomies to two-sided dichotomies. (English) Zbl 1366.37078 Discrete Contin. Dyn. Syst. 35, No. 7, 2817-2844 (2015). MSC: 37D25 34D09 37C75 37D10 37C60 PDFBibTeX XMLCite \textit{L. Barreira} et al., Discrete Contin. Dyn. Syst. 35, No. 7, 2817--2844 (2015; Zbl 1366.37078) Full Text: DOI
Barreira, Luis; Valls, Claudia Exponential behavior in mean for cocycles. (English) Zbl 1361.37031 Stoch. Dyn. 15, No. 4, Article ID 1550029, 22 p. (2015). MSC: 37D10 37D25 37D30 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Stoch. Dyn. 15, No. 4, Article ID 1550029, 22 p. (2015; Zbl 1361.37031) Full Text: DOI
Barreira, Luis; Dragičević, Davor; Valls, Claudia Positive top Lyapunov exponent via invariant cones: single trajectories. (English) Zbl 1337.37013 J. Math. Anal. Appl. 423, No. 1, 480-496 (2015). Reviewer: Nicolae Lupa (Timisoara) MSC: 37B25 34D08 PDFBibTeX XMLCite \textit{L. Barreira} et al., J. Math. Anal. Appl. 423, No. 1, 480--496 (2015; Zbl 1337.37013) Full Text: DOI
Barreira, Luis; Valls, Claudia Robustness of exponential dichotomies in mean. (English) Zbl 1346.37028 Stochastic Processes Appl. 124, No. 12, 4244-4265 (2014). MSC: 37D10 37D25 37A20 34D08 28D05 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Stochastic Processes Appl. 124, No. 12, 4244--4265 (2014; Zbl 1346.37028) Full Text: DOI
Barreira, Luis; Valls, Claudia Center manifolds and optimal estimates. (English) Zbl 1353.37038 Ann. Mat. Pura Appl. (4) 193, No. 2, 457-472 (2014). Reviewer: Nicolae Lupa (Timisoara) MSC: 37B55 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Ann. Mat. Pura Appl. (4) 193, No. 2, 457--472 (2014; Zbl 1353.37038) Full Text: DOI
Barreira, Luis; Valls, Claudia Parameter dependence of stable manifolds for impulsive equations. (English) Zbl 1291.34081 Anal. Appl., Singap. 12, No. 2, 131-160 (2014). Reviewer: Gani T. Stamov (Sliven) MSC: 34C45 34A37 34D09 34D20 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Anal. Appl., Singap. 12, No. 2, 131--160 (2014; Zbl 1291.34081) Full Text: DOI
Barreira, Luis; Valls, Claudia Stable manifolds and nonuniform hyperbolicity: optimal estimates. (English) Zbl 1405.37031 Mediterr. J. Math. 10, No. 3, 1369-1389 (2013). MSC: 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Mediterr. J. Math. 10, No. 3, 1369--1389 (2013; Zbl 1405.37031) Full Text: DOI
Barreira, Luis; Fan, Meng; Valls, Claudia; Zhang, Jimin Stable manifolds for delay equations and parameter dependence. (English) Zbl 1256.37017 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 15, 5824-5835 (2012). MSC: 37D10 34D09 37D25 PDFBibTeX XMLCite \textit{L. Barreira} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 15, 5824--5835 (2012; Zbl 1256.37017) Full Text: DOI
Barreira, Luis; Valls, Claudia Ordinary differential equations. Qualitative theory. Transl. from the Portuguese by the authors. (English) Zbl 1264.34001 Graduate Studies in Mathematics 137. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8749-3/hbk). xii, 248 p. (2012). Reviewer: Luis Sanchez (Lisboa) MSC: 34-01 34-02 34A30 34A34 34Cxx 34Dxx PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Ordinary differential equations. Qualitative theory. Transl. from the Portuguese by the authors. Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1264.34001)
Barreira, Luís; Valls, Claudia Stable manifolds with optimal regularity for difference equations. (English) Zbl 1256.37018 Discrete Contin. Dyn. Syst. 32, No. 5, 1537-1555 (2012). MSC: 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Discrete Contin. Dyn. Syst. 32, No. 5, 1537--1555 (2012; Zbl 1256.37018) Full Text: DOI
Barreira, Luis; Fan, Meng; Valls, Claudia; Zhang, Jimin Parameter dependence of stable manifolds for delay equations with polynomial dichotomies. (English) Zbl 1248.37031 J. Dyn. Differ. Equations 24, No. 1, 101-118 (2012). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 37D10 34D09 34K19 PDFBibTeX XMLCite \textit{L. Barreira} et al., J. Dyn. Differ. Equations 24, No. 1, 101--118 (2012; Zbl 1248.37031) Full Text: DOI
Barreira, Luis; Valls, Claudia Optimal regularity of stable manifolds of nonuniformly hyperbolic dynamics. (English) Zbl 1256.37019 Topol. Methods Nonlinear Anal. 38, No. 2, 333-362 (2011). MSC: 37D10 34D09 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Topol. Methods Nonlinear Anal. 38, No. 2, 333--362 (2011; Zbl 1256.37019)
Barreira, Luis; Valls, Claudia Center manifolds depending on a parameter. (English) Zbl 1218.37038 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 15, 4974-4988 (2011). MSC: 37D10 37D25 34D35 37C10 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 15, 4974--4988 (2011; Zbl 1218.37038) Full Text: DOI
Barreira, Luıs; Valls, Claudia Regularity of center manifolds under nonuniform hyperbolicity. (English) Zbl 1221.37053 Discrete Contin. Dyn. Syst. 30, No. 1, 55-76 (2011). Reviewer: Mohammad Reza Molaei (Kerman) MSC: 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Discrete Contin. Dyn. Syst. 30, No. 1, 55--76 (2011; Zbl 1221.37053) Full Text: DOI
Barreira, Luís; Valls, Claudia Nonuniform exponential dichotomies and admissibility. (English) Zbl 1221.34141 Discrete Contin. Dyn. Syst. 30, No. 1, 39-53 (2011). Reviewer: Jialin Hong (Beijing) MSC: 34D09 34D08 34C45 34D10 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Discrete Contin. Dyn. Syst. 30, No. 1, 39--53 (2011; Zbl 1221.34141) Full Text: DOI
Barreira, Luis; Valls, Claudia Center manifolds under nonuniform hyperbolicity – maximal regularity. (English) Zbl 1255.37006 J. Math. Anal. Appl. 380, No. 1, 33-45 (2011). MSC: 37D10 37D25 37B55 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Math. Anal. Appl. 380, No. 1, 33--45 (2011; Zbl 1255.37006) Full Text: DOI
Barreira, Luis; Iommi, Godofredo Multifractal analysis and phase transitions for hyperbolic and parabolic horseshoes. (English) Zbl 1218.37042 Isr. J. Math. 181, 347-379 (2011). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37D35 37C40 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{G. Iommi}, Isr. J. Math. 181, 347--379 (2011; Zbl 1218.37042) Full Text: DOI Link
Barreira, Luis; Valls, Claudia Center manifolds for impulsive equations under nonuniform hyperbolicity. (English) Zbl 1215.34049 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1616-1627 (2011). Reviewer: Gani T. Stamov (Sliven) MSC: 34C45 34D09 34D10 34A37 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1616--1627 (2011; Zbl 1215.34049) Full Text: DOI
Barreira, Luis; Valls, Claudia Stable manifolds for impulsive equations under nonuniform hyperbolicity. (English) Zbl 1216.34037 J. Dyn. Differ. Equations 22, No. 4, 761-785 (2010). Reviewer: Fulai Chen (Chenzhou) MSC: 34C45 34D09 34D10 34A37 47N20 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Dyn. Differ. Equations 22, No. 4, 761--785 (2010; Zbl 1216.34037) Full Text: DOI
Barreira, Luis; Fan, Meng; Valls, Claudia; Zhang, Jimin Invariant manifolds for impulsive equations and nonuniform polynomial dichotomies. (English) Zbl 1216.34036 J. Stat. Phys. 141, No. 1, 179-200 (2010). Reviewer: Yuri V. Rogovchenko (Umeå) MSC: 34C45 34A37 34G10 34D08 34D09 PDFBibTeX XMLCite \textit{L. Barreira} et al., J. Stat. Phys. 141, No. 1, 179--200 (2010; Zbl 1216.34036) Full Text: DOI
Barreira, Luis; Valls, Claudia Center manifolds for difference equations-smooth parameter dependence. (English) Zbl 1202.37026 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 3, 725-749 (2010). Reviewer: Mohammad Reza Molaei (Kerman) MSC: 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 3, 725--749 (2010; Zbl 1202.37026) Full Text: DOI
Barreira, Luís; Valls, Claudia Center manifolds for nonuniform trichotomies and arbitrary growth rates. (English) Zbl 1204.34058 Commun. Pure Appl. Anal. 9, No. 3, 643-654 (2010). Reviewer: Minh Van Nguyen (Carrollton) MSC: 34C45 34D09 34D20 34G20 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Commun. Pure Appl. Anal. 9, No. 3, 643--654 (2010; Zbl 1204.34058) Full Text: DOI
Barreira, Luis; Valls, Claudia Parameter dependence of stable manifolds for difference equations. (English) Zbl 1201.37030 Nonlinearity 23, No. 2, 341-367 (2010). Reviewer: Adina Luminiţa Sasu (Timişoara) MSC: 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Nonlinearity 23, No. 2, 341--367 (2010; Zbl 1201.37030) Full Text: DOI
Barreira, Luis; Valls, Claudia Smooth stable invariant manifolds and arbitrary growth rates. (English) Zbl 1191.34061 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2444-2456 (2010). Reviewer: Christian Pötzsche (München) MSC: 34C45 37D10 37C60 34D09 34C11 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2444--2456 (2010; Zbl 1191.34061) Full Text: DOI
Barreira, Luis; Valls, Claudia Stability of dichotomies in difference equations with infinite delay. (English) Zbl 1187.39021 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 2, 881-893 (2010). Reviewer: Kazuya Tohge (Kanazawa) MSC: 39A30 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 2, 881--893 (2010; Zbl 1187.39021) Full Text: DOI
Barreira, Luis; Valls, Claudia Stable invariant manifolds for parabolic dynamics. (English) Zbl 1175.34070 J. Funct. Anal. 257, No. 4, 1018-1029 (2009). Reviewer: Zhanyuan Hou (London) MSC: 34G10 34D09 34D10 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Funct. Anal. 257, No. 4, 1018--1029 (2009; Zbl 1175.34070) Full Text: DOI
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
Barreira, Luis; Valls, Claudia Characterization of stable manifolds for nonuniform exponential dichotomies. (English) Zbl 1157.37012 Discrete Contin. Dyn. Syst. 21, No. 4, 1025-1046 (2008). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37D10 34D09 34D10 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Discrete Contin. Dyn. Syst. 21, No. 4, 1025--1046 (2008; Zbl 1157.37012) Full Text: DOI
Barreira, Luis; Valls, Claudia Optimal estimates along stable manifolds of non-uniformly hyperbolic dynamics. (English) Zbl 1168.37008 Proc. R. Soc. Edinb., Sect. A, Math. 138, No. 4, 693-717 (2008). Reviewer: Martin Rasmussen (London) MSC: 37C75 37D10 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Proc. R. Soc. Edinb., Sect. A, Math. 138, No. 4, 693--717 (2008; Zbl 1168.37008) Full Text: DOI
Barreira, Luis; Valls, Claudia Analytic invariant manifolds for sequences of diffeomorphisms. (English) Zbl 1144.37009 J. Differ. Equations 245, No. 1, 80-101 (2008). Reviewer: Angela Slavova (Sofia) MSC: 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Differ. Equations 245, No. 1, 80--101 (2008; Zbl 1144.37009) Full Text: DOI
Barreira, L.; Silva, C.; Valls, C. Regularity of invariant manifolds for nonuniformly hyperbolic dynamics. (English) Zbl 1138.37014 J. Dyn. Differ. Equations 20, No. 2, 281-299 (2008). MSC: 37D25 37D10 37C60 PDFBibTeX XMLCite \textit{L. Barreira} et al., J. Dyn. Differ. Equations 20, No. 2, 281--299 (2008; Zbl 1138.37014) Full Text: DOI
Barreira, L.; Silva, C.; Valls, C. Integral stable manifolds in Banach spaces. (English) Zbl 1139.37014 J. Lond. Math. Soc., II. Ser. 77, No. 2, 443-464 (2008). Reviewer: Yuri V. Rogovchenko (Kalmar) MSC: 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} et al., J. Lond. Math. Soc., II. Ser. 77, No. 2, 443--464 (2008; Zbl 1139.37014) Full Text: DOI
Barreira, Luis; Valls, Claudia Stability in nonautonomous dynamics: a survey of recent results. (English) Zbl 1184.34001 São Paulo J. Math. Sci. 1, No. 2, 133-173 (2007). Reviewer: George Karakostas (Ioannina) MSC: 34-02 34D09 34C45 37C60 34D20 34D10 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, São Paulo J. Math. Sci. 1, No. 2, 133--173 (2007; Zbl 1184.34001) Full Text: DOI
Barreira, Luis; Valls, Claudia Reversibility and equivariance in center manifolds of nonautonomous dynamics. (English) Zbl 1197.37023 Discrete Contin. Dyn. Syst. 18, No. 4, 677-699 (2007). MSC: 37D10 34C45 34D09 37D25 34C14 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Discrete Contin. Dyn. Syst. 18, No. 4, 677--699 (2007; Zbl 1197.37023) Full Text: DOI
Barreira, Luis; Pesin, Yakov Nonuniform hyperbolicity. Dynamics of systems with nonzero Lyapunov exponents. (English) Zbl 1144.37002 Encyclopedia of Mathematics and its Applications 115. Cambridge: Cambridge University Press (ISBN 978-0-521-83258-8/hbk). xiv, 513 p. (2007). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37-02 37D25 37A30 37D10 37A20 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{Y. Pesin}, Nonuniform hyperbolicity. Dynamics of systems with nonzero Lyapunov exponents. Cambridge: Cambridge University Press (2007; Zbl 1144.37002)
Barreira, Luis; Valls, Claudia Hölder Grobman-Hartman linearization. (English) Zbl 1120.37013 Discrete Contin. Dyn. Syst. 18, No. 1, 187-197 (2007). MSC: 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Discrete Contin. Dyn. Syst. 18, No. 1, 187--197 (2007; Zbl 1120.37013) Full Text: DOI
Barreira, Luis; Valls, Claudia Smooth center manifolds for nonuniformly partially hyperbolic trajectories. (English) Zbl 1114.34038 J. Differ. Equations 237, No. 2, 307-342 (2007). MSC: 34D09 37D10 34G20 34C45 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Differ. Equations 237, No. 2, 307--342 (2007; Zbl 1114.34038) Full Text: DOI
Barreira, Luis; Valls, Claudia Center manifolds for nonuniformly partially hyperbolic trajectories. (English) Zbl 1122.37023 Ergodic Theory Dyn. Syst. 26, No. 6, 1707-1732 (2006). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37D25 37D10 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Ergodic Theory Dyn. Syst. 26, No. 6, 1707--1732 (2006; Zbl 1122.37023) Full Text: DOI
Barreira, Luis; Pesin, Yakov [Sarig, Omri] Smooth ergodic theory and nonuniformly hyperbolic dynamics. (With an appendix by Omri Sarig). (English) Zbl 1130.37351 Hasselblatt, B.(ed.) et al., Handbook of dynamical systems. Volume 1B. Amsterdam: Elsevier (ISBN 0-444-52055-4/hbk). 57-263 (2006). MSC: 37D25 37-02 37C40 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{Y. Pesin}, in: Handbook of dynamical systems. Volume 1B. Amsterdam: Elsevier. 57--263 (2006; Zbl 1130.37351)
Barreira, Luis; Gelfert, Katrin Multifractal analysis for Lyapunov exponents on nonconformal repellers. (English) Zbl 1113.37014 Commun. Math. Phys. 267, No. 2, 393-418 (2006). MSC: 37D25 37A35 37B40 37D05 28A78 37B25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{K. Gelfert}, Commun. Math. Phys. 267, No. 2, 393--418 (2006; Zbl 1113.37014) Full Text: DOI
Barreira, Luis; Valls, Claudia Multifractal structure of two-dimensional horseshoes. (English) Zbl 1113.37012 Commun. Math. Phys. 266, No. 2, 455-470 (2006). MSC: 37D05 37C40 37C45 37E30 37D15 37B10 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Commun. Math. Phys. 266, No. 2, 455--470 (2006; Zbl 1113.37012) Full Text: DOI
Barreira, Luis; Valls, Claudia Existence of stable manifolds for nonuniformly hyperbolic \(C^1\) dynamics. (English) Zbl 1108.37021 Discrete Contin. Dyn. Syst. 16, No. 2, 307-327 (2006). MSC: 37D10 37D25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Discrete Contin. Dyn. Syst. 16, No. 2, 307--327 (2006; Zbl 1108.37021) Full Text: DOI
Barreira, Luis Nonadditive thermodynamic formalism: Equilibrium and Gibbs measures. (English) Zbl 1108.37025 Discrete Contin. Dyn. Syst. 16, No. 2, 279-305 (2006). MSC: 37D35 37C40 37C25 37B40 PDFBibTeX XMLCite \textit{L. Barreira}, Discrete Contin. Dyn. Syst. 16, No. 2, 279--305 (2006; Zbl 1108.37025) Full Text: DOI
Barreira, Luis; Saraiva, Vitor Explicit formulas for the average density of conformal repellers. (English) Zbl 1101.37036 Ergodic Theory Dyn. Syst. 26, No. 4, 973-997 (2006). MSC: 37F35 37C70 37B10 37A25 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{V. Saraiva}, Ergodic Theory Dyn. Syst. 26, No. 4, 973--997 (2006; Zbl 1101.37036) Full Text: DOI
Barreira, Luis; Valls, Claudia Smooth invariant manifolds in Banach spaces with nonuniform exponential dichotomy. (English) Zbl 1099.37020 J. Funct. Anal. 238, No. 1, 118-148 (2006). MSC: 37D10 34D09 34D35 37C10 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Funct. Anal. 238, No. 1, 118--148 (2006; Zbl 1099.37020) Full Text: DOI
Barreira, Luis; Wolf, Christian Pointwise dimension and ergodic decompositions. (English) Zbl 1096.37011 Ergodic Theory Dyn. Syst. 26, No. 3, 653-671 (2006). MSC: 37C45 37C40 37F15 37D25 37D20 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Wolf}, Ergodic Theory Dyn. Syst. 26, No. 3, 653--671 (2006; Zbl 1096.37011) Full Text: DOI
Barreira, Luis; Valls, Claudia Stable manifolds for nonautonomous equations without exponential dichotomy. (English) Zbl 1098.34036 J. Differ. Equations 221, No. 1, 58-90 (2006). Reviewer: Stefan Siegmund (Frankfurt) MSC: 34C45 34D09 34G10 34D35 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Differ. Equations 221, No. 1, 58--90 (2006; Zbl 1098.34036) Full Text: DOI
Barreira, Luis; Valls, Claudia Smoothness of invariant manifolds for nonautonomous equations. (English) Zbl 1098.34041 Commun. Math. Phys. 259, No. 3, 639-677 (2005). Reviewer: Stefan Siegmund (Frankfurt) MSC: 34D09 34C30 37C10 37D10 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Commun. Math. Phys. 259, No. 3, 639--677 (2005; Zbl 1098.34041) Full Text: DOI
Barreira, Luis; Valls, Claudia Center manifolds for nonuniformly partially hyperbolic diffeomorphisms. (English) Zbl 1159.37319 J. Math. Pures Appl. (9) 84, No. 12, 1693-1715 (2005). MSC: 37D25 37D10 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, J. Math. Pures Appl. (9) 84, No. 12, 1693--1715 (2005; Zbl 1159.37319) Full Text: DOI
Barreira, Luis; Valls, Claudia Higher regularity of invariant manifolds for nonautonomous equations. (English) Zbl 1089.34040 Nonlinearity 18, No. 5, 2373-2390 (2005). Reviewer: Stefan Siegmund (Frankfurt) MSC: 34C45 34D09 37C60 34D08 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Valls}, Nonlinearity 18, No. 5, 2373--2390 (2005; Zbl 1089.34040) Full Text: DOI
Barreira, L.; Radu, L.; Wolf, C. Dimension of measures for suspension flows. (English) Zbl 1066.37014 Dyn. Syst. 19, No. 2, 89-107 (2004). Reviewer: Mike Hurley (Cleveland) MSC: 37C45 37D35 37D20 37A05 37B10 54H20 PDFBibTeX XMLCite \textit{L. Barreira} et al., Dyn. Syst. 19, No. 2, 89--107 (2004; Zbl 1066.37014) Full Text: DOI
Barreira, Luis; Wolf, Christian Measures of maximal dimension for hyperbolic diffeomorphisms. (English) Zbl 1024.37025 Commun. Math. Phys. 239, No. 1-2, 93-113 (2003). Reviewer: Nikolai Chernov (Birmingham) MSC: 37D35 37C45 37A05 37A25 37C40 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{C. Wolf}, Commun. Math. Phys. 239, No. 1--2, 93--113 (2003; Zbl 1024.37025) Full Text: DOI
Barreira, Luis Hyperbolicity and recurrence in dynamical systems: a survey of recent results. (English) Zbl 1033.37001 Resen. Inst. Mat. Estat. Univ. São Paulo 5, No. 3, 171-230 (2002). MSC: 37-02 37C45 37C40 37B35 37D35 37B20 37A45 11K55 PDFBibTeX XMLCite \textit{L. Barreira}, Resen. Inst. Mat. Estat. Univ. São Paulo 5, No. 3, 171--230 (2002; Zbl 1033.37001) Full Text: arXiv Link
Barreira, L.; Saussol, B. Product structure of Poincaré recurrence. (English) Zbl 0999.37003 Ergodic Theory Dyn. Syst. 22, No. 1, 33-61 (2002). Reviewer: Harald Rindler (Wien) MSC: 37A99 37D05 37C40 37C45 37C70 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{B. Saussol}, Ergodic Theory Dyn. Syst. 22, No. 1, 33--61 (2002; Zbl 0999.37003) Full Text: DOI
Barreira, L.; Pesin, Ya. [Brin, M.; Dolgopyat, D.; Hu, H.] Lectures on Lyapunov exponents and smooth ergodic theory. (With two appendices by M. Brin, D. Dolgopyat, H. Hu and Ya. Pesin). (English) Zbl 0996.37001 Katok, Anatole (ed.) et al., Smooth ergodic theory and its applications. Proceedings of the AMS summer research institute, Seattle, WA, USA, July 26-August 13, 1999. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 69, 3-106 (2001). Reviewer: Sergei Yu.Pilyugin (St.Peterburg) MSC: 37-02 37D25 37C40 37A30 37D40 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{Ya. Pesin}, Proc. Symp. Pure Math. 69, 3--106 (2001; Zbl 0996.37001)
Barreira, Luis; Pesin, Yakov B. Lyapunov exponents and smooth ergodic theory. (English) Zbl 1195.37002 University Lecture Series 23. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2921-1/pbk). xii, 151 p. (2001). MSC: 37-02 37D25 37C40 37D40 37A30 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{Y. B. Pesin}, Lyapunov exponents and smooth ergodic theory. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 1195.37002)
Barreira, Luis M. The dimension theory of hyperbolic dynamics. (English) Zbl 0957.37027 Magalhães, L. (ed.) et al., International conference on differential equations. Papers from the conference, EQUADIFF 95, Lisboa, Portugal, July 24-29, 1995. Singapore: World Scientific. 253-257 (1998). MSC: 37D05 37C45 37D20 PDFBibTeX XMLCite \textit{L. M. Barreira}, in: International conference on differential equations. Papers from the conference, EQUADIFF 95, Lisboa, Portugal, July 24--29, 1995. Singapore: World Scientific. 253--257 (1998; Zbl 0957.37027)
Barreira, Luis; Schmeling, Jörg Invariant sets with zero measure and full Hausdorff dimension. (English) Zbl 0887.58042 Electron. Res. Announc. Am. Math. Soc. 3, 114-118 (1997). MSC: 37D99 37A99 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{J. Schmeling}, Electron. Res. Announc. Am. Math. Soc. 3, No. 18, 114--118 (1997; Zbl 0887.58042) Full Text: DOI EuDML