## Barreira, Luis Manuel

Compute Distance To:
 Author ID: barreira.luis-m Published as: Barreira, Luis; Barreira, L.; Barreira, Luís; Barreira, Luis M.; Barreira, Luıs Further Spellings: Barreira Gonçalves, Luis Manuel Homepage: https://www.math.tecnico.ulisboa.pt/~barreira/ External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 289 Publications since 1995, including 20 Books Co-Authors: 22 Co-Authors with 269 Joint Publications 992 Co-Co-Authors
all top 5

### Co-Authors

 19 single-authored 227 Valls Anglés, Cláudia 32 Dragičević, Davor 9 Llibre, Jaume 9 Pesin, Yakov Borisovich 8 Schmeling, Jorg 7 Popescu, Liviu Horia 7 Saussol, Benoît 6 Holanda, Carllos 5 Li, Jinjun 4 Doutor, Paulo 4 Fan, Meng 4 Iommi, Godofredo 4 Silva, César M. 4 Wolf, Christian K. 4 Zhang, Jimin 2 Chu, Jifeng 2 Gelfert, Katrin Grit 2 Radu, Lucian 2 Rijo, João 2 Saraiva, Vitor 1 Brin, Michael 1 Cao, Yongluo 1 Dolgopyat, Dmitry 1 Hu, Huyi 1 Sarig, Omri M. 1 Wang, Juan
all top 5

### Serials

 24 Journal of Differential Equations 16 Discrete and Continuous Dynamical Systems 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Mathematical Analysis and Applications 9 Nonlinearity 8 Journal of Statistical Physics 8 Journal of Dynamics and Differential Equations 8 Dynamical Systems 7 Communications in Mathematical Physics 7 Ergodic Theory and Dynamical Systems 6 Electronic Journal of Qualitative Theory of Differential Equations 6 São Paulo Journal of Mathematical Sciences 5 Journal of Functional Analysis 5 Topological Methods in Nonlinear Analysis 5 Bulletin des Sciences Mathématiques 4 Electronic Journal of Differential Equations (EJDE) 4 Journal of Difference Equations and Applications 4 Milan Journal of Mathematics 3 Integral Equations and Operator Theory 3 Mathematika 3 Quaestiones Mathematicae 3 Results in Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Communications in Contemporary Mathematics 3 Qualitative Theory of Dynamical Systems 3 Advanced Nonlinear Studies 3 Stochastics and Dynamics 3 Mediterranean Journal of Mathematics 2 Israel Journal of Mathematics 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Periodica Mathematica Hungarica 2 Glasgow Mathematical Journal 2 Journal of the Korean Mathematical Society 2 Journal of the Mathematical Society of Japan 2 Journal of Number Theory 2 Proceedings of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Publicationes Mathematicae 2 Transactions of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 Aequationes Mathematicae 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Electronic Research Announcements of the American Mathematical Society 2 Regular and Chaotic Dynamics 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 Graduate Studies in Mathematics 2 Progress in Mathematics 2 Universitext 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Funkcialaj Ekvacioj. Serio Internacia 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Tohoku Mathematical Journal. Second Series 1 Zeitschrift für Analysis und ihre Anwendungen 1 Physica D 1 Publicacions Matemàtiques 1 International Journal of Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Linear Algebra and its Applications 1 Stochastic Processes and their Applications 1 Random & Computational Dynamics 1 Mathematical Research Letters 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Nonlinear Dynamics 1 Open Systems & Information Dynamics 1 Chaos 1 Annals of Mathematics. Second Series 1 Journal of Dynamical and Control Systems 1 The Quarterly Journal of Mathematics 1 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 1 Portugaliae Mathematica. Nova Série 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Analysis and Applications (Singapore) 1 Fixed Point Theory 1 Encyclopedia of Mathematics and Its Applications 1 Lecture Notes in Mathematics 1 University Lecture Series 1 Journal of Fixed Point Theory and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Discrete and Continuous Dynamical Systems. Series S 1 Annals of Functional Analysis 1 Series in Applied and Computational Mathematics 1 Pure and Applied Functional Analysis 1 Advances in Operator Theory ...and 4 more Serials
all top 5

### Fields

 215 Dynamical systems and ergodic theory (37-XX) 120 Ordinary differential equations (34-XX) 28 Difference and functional equations (39-XX) 24 Measure and integration (28-XX) 20 Operator theory (47-XX) 7 Number theory (11-XX) 5 Partial differential equations (35-XX) 4 General and overarching topics; collections (00-XX) 4 General topology (54-XX) 4 Systems theory; control (93-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

207 Publications have been cited 2,146 times in 1,054 Documents Cited by Year
Nonuniform hyperbolicity. Dynamics of systems with nonzero Lyapunov exponents. Zbl 1144.37002
Barreira, Luis; Pesin, Yakov
2007
Sets of “non-typical” points have full topological entropy and full Hausdorff dimension. Zbl 0988.37029
Barreira, Luis; Schmeling, Jörg
2000
Stability of nonautonomous differential equations. Zbl 1152.34003
Barreira, Luis; Valls, Claudia
2008
A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems. Zbl 0862.58042
Barreira, Luis M.
1996
Variational principles and mixed multifractal spectra. Zbl 0981.37007
Barreira, L.; Saussol, B.
2001
Lectures on Lyapunov exponents and smooth ergodic theory. (With two appendices by M. Brin, D. Dolgopyat, H. Hu and Ya. Pesin). Zbl 0996.37001
Barreira, L.; Pesin, Ya.
2001
Higher-dimensional multifractal analysis. Zbl 1025.37019
Barreira, Luis; Saussol, Benoît; Schmeling, Jörg
2002
Dimension and product structure of hyperbolic measures. Zbl 0977.37011
Barreira, Luis; Pesin, Yakov; Schmeling, Jörg
1999
Hausdorff dimension of measures via Poincaré recurrence. Zbl 1007.37012
Barreira, L.; Saussol, B.
2001
Lyapunov exponents and smooth ergodic theory. Zbl 1195.37002
Barreira, Luis; Pesin, Yakov B.
2001
Dimension and recurrence in hyperbolic dynamics. Zbl 1161.37001
Barreira, Luis
2008
On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity. Zbl 0933.37002
Barreira, Luis; Pesin, Yakov; Schmeling, Jörg
1997
Robustness of nonuniform exponential dichotomies in Banach spaces. Zbl 1158.34041
Barreira, Luis; Valls, Claudia
2008
Nonadditive thermodynamic formalism: Equilibrium and Gibbs measures. Zbl 1108.37025
Barreira, Luis
2006
Thermodynamic formalism and applications to dimension theory. Zbl 1258.37001
Barreira, Luis
2011
Distribution of frequencies of digits via multifractal analysis. Zbl 1027.11055
Barreira, L.; Saussol, B.; Schmeling, J.
2002
A Grobman–Hartman theorem for nonuniformly hyperbolic dynamics. Zbl 1099.37022
Barreira, Luis; Valls, Claudia
2006
Stability theory and Lyapunov regularity. Zbl 1184.37022
Barreira, Luis; Valls, Claudia
2007
Stable manifolds for nonautonomous equations without exponential dichotomy. Zbl 1098.34036
Barreira, Luis; Valls, Claudia
2006
Introduction to smooth ergodic theory. Zbl 1336.37001
Barreira, Luis; Pesin, Yakov
2013
Multifractal analysis for Lyapunov exponents on nonconformal repellers. Zbl 1113.37014
Barreira, Luis; Gelfert, Katrin
2006
Almost additive multifractal analysis. Zbl 1186.37033
Barreira, Luis; Doutor, Paulo
2009
Growth rates and nonuniform hyperbolicity. Zbl 1202.34096
Barreira, Luis; Valls, Claudia
2008
Multifractal analysis of hyperbolic flows. Zbl 0978.37018
Barreira, L.; Saussol, B.
2000
Nonuniform exponential dichotomies and Lyapunov regularity. Zbl 1123.34040
Barreira, Luis; Valls, Claudia
2007
Smooth ergodic theory and nonuniformly hyperbolic dynamics. (With an appendix by Omri Sarig). Zbl 1130.37351
Barreira, Luis; Pesin, Yakov
2006
Frequency of digits in the Lüroth expansion. Zbl 1188.37024
Barreira, Luis; Iommi, Godofredo
2009
Polynomial growth rates. Zbl 1181.34046
Barreira, Luis; Valls, Claudia
2009
Nonuniform exponential dichotomies and admissibility. Zbl 1221.34141
Barreira, Luís; Valls, Claudia
2011
Dimension estimates in smooth dynamics: a survey of recent results. Zbl 1230.37032
Barreira, Luis; Gelfert, Katrin
2011
Irregular sets are residual. Zbl 1376.37032
Barreira, Luis; Li, Jinjun; Valls, Claudia
2014
Admissibility for nonuniform exponential contractions. Zbl 1228.34090
Barreira, Luis; Valls, Claudia
2010
Suspension flows over countable Markov shifts. Zbl 1160.37338
Barreira, Luis; Iommi, Godofredo
2006
Lyapunov sequences for exponential dichotomies. Zbl 1153.37013
Barreira, Luis; Valls, Claudia
2009
Conjugacies for linear and nonlinear perturbations of nonuniform behavior. Zbl 1127.37030
Barreira, Luis; Valls, Claudia
2007
Smoothness of invariant manifolds for nonautonomous equations. Zbl 1098.34041
Barreira, Luis; Valls, Claudia
2005
Stability of nonautonomous differential equations in Hilbert spaces. Zbl 1088.34053
Barreira, Luis; Valls, Claudia
2005
Lyapunov regularity of impulsive differential equations. Zbl 1206.34073
Barreira, Luis; Valls, Claudia
2010
Lyapunov functions for general nonuniform dichotomies. Zbl 1273.34057
Barreira, Luis; Chu, Jifeng; Valls, Claudia
2013
Robustness of nonuniform exponential trichotomies in Banach spaces. Zbl 1202.34105
Barreira, Luis; Valls, Claudia
2009
Dimension estimates in nonconformal hyperbolic dynamics. Zbl 1116.37305
Barreira, Luis
2003
Robustness of general dichotomies. Zbl 1175.34068
Barreira, Luis; Valls, Claudia
2009
Hölder Grobman-Hartman linearization. Zbl 1120.37013
Barreira, Luis; Valls, Claudia
2007
Almost additive thermodynamic formalism: some recent developments. Zbl 1225.37028
Barreira, Luis
2010
Product structure of Poincaré recurrence. Zbl 0999.37003
Barreira, L.; Saussol, B.
2002
Measures of maximal dimension for hyperbolic diffeomorphisms. Zbl 1024.37025
Barreira, Luis; Wolf, Christian
2003
Pointwise dimension and ergodic decompositions. Zbl 1096.37011
Barreira, Luis; Wolf, Christian
2006
Multifractal analysis and phase transitions for hyperbolic and parabolic horseshoes. Zbl 1218.37042
Barreira, Luis; Iommi, Godofredo
2011
Lyapunov exponents for continuous transformations and dimension theory. Zbl 1085.37016
Barreira, Luis; Silva, César
2005
Strong and weak $$(L^p, L^q)$$-admissibility. Zbl 1327.34097
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2014
Nonuniform hyperbolicity and admissibility. Zbl 1332.37024
Barreira, Luis; Valls, Claudia; Dragičević, Davor
2014
Smooth center manifolds for nonuniformly partially hyperbolic trajectories. Zbl 1114.34038
Barreira, Luis; Valls, Claudia
2007
Birkhoff averages for hyperbolic flows: Variational principles and applications. Zbl 1157.37307
Barreira, Luis; Doutor, Paulo
2004
On the pointwise dimension of hyperbolic measures: a proof of the Eckmann-Ruelle conjecture. Zbl 0871.58054
Barreira, Luis; Pesin, Yakov; Schmeling, Jörg
1996
Robustness of nonuniform dichotomies with different growth rates. Zbl 1272.34067
Barreira, Luis; Chu, Jifeng; Valls, Claudia
2011
Quadratic Lyapunov functions and nonuniform exponential dichotomies. Zbl 1165.34030
Barreira, Luis; Valls, Claudia
2009
Nonuniform behavior and robustness. Zbl 1172.37013
Barreira, L.; Silva, C.; Valls, C.
2009
Stable manifolds for impulsive equations under nonuniform hyperbolicity. Zbl 1216.34037
Barreira, Luis; Valls, Claudia
2010
Dimension of measures for suspension flows. Zbl 1066.37014
Barreira, L.; Radu, L.; Wolf, C.
2004
Multifractal spectra and multifractal rigidity for horseshoes. Zbl 0949.37017
Barreira, L.; Pesin, Ya.; Schmeling, J.
1997
Center manifolds for nonuniformly partially hyperbolic diffeomorphisms. Zbl 1159.37319
Barreira, Luis; Valls, Claudia
2005
Robustness of nonuniform polynomial dichotomies for difference equations. Zbl 1229.93042
Barreira, Luis; Fan, Meng; Valls, Claudia; Zhang, Jimin
2011
Lyapunov functions for trichotomies with growth rates. Zbl 1197.34094
Barreira, Luis; Valls, Claudia
2010
Multifractal structure of two-dimensional horseshoes. Zbl 1113.37012
Barreira, Luis; Valls, Claudia
2006
Hausdorff dimension in convex bornological spaces. Zbl 1022.46004
Almeida, J.; Barreira, L.
2002
Multifractal analysis of asymptotically additive sequences. Zbl 1286.37029
Barreira, Luis; Cao, Yongluo; Wang, Juan
2013
Ergodic theory, hyperbolic dynamics and dimension theory. Zbl 1262.37001
Barreira, Luis
2012
Nonuniform spectrum on Banach spaces. Zbl 1378.37063
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
From one-sided dichotomies to two-sided dichotomies. Zbl 1366.37078
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2015
Smooth robustness of parameterized perturbations of exponential dichotomies. Zbl 1204.39002
Barreira, Luis; Valls, Claudia
2010
Robust nonuniform dichotomies and parameter dependence. Zbl 1226.37013
Barreira, Luis; Valls, Claudia
2011
Invariant manifolds for impulsive equations and nonuniform polynomial dichotomies. Zbl 1216.34036
Barreira, Luis; Fan, Meng; Valls, Claudia; Zhang, Jimin
2010
Nonuniform exponential contractions and Lyapunov sequences. Zbl 1173.37029
Barreira, Luis; Valls, Claudia
2009
Parameter dependence of stable manifolds under nonuniform hyperbolicity. Zbl 1177.37031
Barreira, Luis; Valls, Claudia
2009
Smooth robustness of exponential dichotomies. Zbl 1216.39019
Barreira, Luis; Valls, Claudia
2011
Reversibility and equivariance in center manifolds of nonautonomous dynamics. Zbl 1197.37023
Barreira, Luis; Valls, Claudia
2007
Tempered exponential dichotomies: admissibility and stability under perturbations. Zbl 1370.37106
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
Invariant sets with zero measure and full Hausdorff dimension. Zbl 0887.58042
Barreira, Luis; Schmeling, Jörg
1997
Exponential dichotomies with respect to a sequence of norms and admissibility. Zbl 1353.37078
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2014
Barreira, Luís; Dragičević, Davor; Valls, Claudia
2018
Stability in delay difference equations with nonuniform exponential behavior. Zbl 1129.39001
Barreira, Luis; Valls, Claudia
2007
Dimension spectra of almost additive sequences. Zbl 1188.37023
Barreira, Luis; Doutor, Paulo
2009
Lyapunov sequences for exponential trichotomies. Zbl 1191.37019
Barreira, Luis; Valls, Claudia
2010
Robustness for impulsive equations. Zbl 1194.34101
Barreira, Luis; Valls, Claudia
2010
Robustness via Lyapunov functions. Zbl 1192.34063
Barreira, Luis; Valls, Claudia
2009
Lyapunov functions and cone families. Zbl 1287.37020
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2012
Multifractal nonrigidity of topological Markov chains. Zbl 1131.37009
Barreira, Luis; Saraiva, Vitor
2008
Stable invariant manifolds for parabolic dynamics. Zbl 1175.34070
Barreira, Luis; Valls, Claudia
2009
Stability in nonautonomous dynamics: a survey of recent results. Zbl 1184.34001
Barreira, Luis; Valls, Claudia
2007
Parameter dependence of stable manifolds for difference equations. Zbl 1201.37030
Barreira, Luis; Valls, Claudia
2010
Ordinary differential equations. Qualitative theory. Transl. from the Portuguese by the authors. Zbl 1264.34001
Barreira, Luis; Valls, Claudia
2012
Admissibility on the half line for evolution families. Zbl 1476.34131
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Multifractal analysis of non-conformal repellers: a model case. Zbl 1119.37022
2007
A Grobman-Hartman theorem for general nonuniform exponential dichotomies. Zbl 1178.37031
Barreira, Luis; Valls, Claudia
2009
Existence of stable manifolds for nonuniformly hyperbolic $$C^1$$ dynamics. Zbl 1108.37021
Barreira, Luis; Valls, Claudia
2006
Characterization of stable manifolds for nonuniform exponential dichotomies. Zbl 1157.37012
Barreira, Luis; Valls, Claudia
2008
Hyperbolic sequences of linear operators and evolution maps. Zbl 1461.37038
Barreira, Luis; Popescu, Liviu Horia; Valls, Claudia
2016
Lyapunov functions for strong exponential contractions. Zbl 1339.37032
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2013
Higher regularity of invariant manifolds for nonautonomous equations. Zbl 1089.34040
Barreira, Luis; Valls, Claudia
2005
Irregular sets of two-sided Birkhoff averages and hyperbolic sets. Zbl 1361.37009
Barreira, Luis; Li, Jinjun; Valls, Claudia
2016
Almost additive multifractal analysis for flows. Zbl 1472.37037
Barreira, Luis; Holanda, Carllos
2021
Smooth linearization under nonuniform hyperbolicity. Zbl 1473.37023
Barreira, Luis; Valls, Claudia
2021
Equilibrium and Gibbs measures for flows. Zbl 1477.37042
Barreira, Luis; Holanda, Carllos
2021
Integrability and zero-Hopf bifurcation in the Sprott A system. Zbl 1450.34018
Barreira, Luis; Llibre, Jaume; Valls, Claudia
2020
Regularity and stability sets for families of sequences of matrices. Zbl 1456.37030
Barreira, Luis; Valls, Claudia
2020
Robustness of hyperbolicity in delay equations. Zbl 1434.34062
Barreira, Luis; Valls, Claudia
2020
Nonadditive topological pressure for flows. Zbl 1444.37013
Barreira, Luis; Holanda, Carllos
2020
One-sided hyperbolicity via evolution maps. Zbl 1446.37035
Barreira, Luis; Valls, Claudia
2020
Equivalent notions of hyperbolicity. Zbl 1455.37030
Barreira, Luis; Valls, Claudia
2020
Hyperbolicity via admissibility in delay equations. Zbl 1447.37039
Barreira, Luis; Valls, Claudia
2020
Normal forms via nonuniform hyperbolicity. Zbl 1415.37021
Barreira, Luis; Valls, Claudia
2019
General exponential dichotomies: from finite to infinite time. Zbl 1401.70017
Barreira, Luis; Valls, Claudia
2019
Conjugacies and invariant manifolds via evolution semigroups. Zbl 1442.37047
Barreira, Luis; Valls, Claudia
2019
$$C^k$$ invariant manifolds for infinite delay. Zbl 1426.37027
Barreira, Luis; Valls, Claudia
2019
Lyapunov regularity and triangularization for unbounded sequences. Zbl 1438.37017
Barreira, Luis; Valls, Claudia
2019
Barreira, Luís; Dragičević, Davor; Valls, Claudia
2018
Topological entropy of irregular sets. Zbl 1393.37017
Barreira, Luis; Li, Jinjun; Valls, Claudia
2018
Stable invariant manifolds for delay equations with piecewise constant argument. Zbl 1395.34078
Barreira, Luis; Valls, Claudia
2018
On two notions of exponential dichotomy. Zbl 1404.37025
Barreira, Luis; Valls, Claudia
2018
Stable manifolds for perturbations of exponential dichotomies in mean. Zbl 1387.37031
Barreira, Luis; Valls, Claudia
2018
Transformations preserving the Lyapunov exponents. Zbl 1388.37035
Barreira, Luis; Valls, Claudia
2018
Limit cycles bifurcating from a zero-Hopf singularity in arbitrary dimension. Zbl 1398.34044
Barreira, Luis; Llibre, Jaume; Valls, Claudia
2018
Tempered exponential behavior for a dynamics in upper triangular form. Zbl 1413.37018
Barreira, Luis; Valls, Claudia
2018
Spectral theory for invertible cocycles under nonuniform hyperbolicity. Zbl 1393.37037
Barreira, Luis; Valls, Claudia
2018
Nonuniform spectrum on Banach spaces. Zbl 1378.37063
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Admissibility on the half line for evolution families. Zbl 1476.34131
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Relations between regularity coefficients. Zbl 1364.37046
Barreira, Luis; Valls, Claudia
2017
Existence of conjugacies and stable manifolds via suspensions. Zbl 1373.37084
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Nonuniform spectrum on the half line and perturbations. Zbl 1375.37089
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Lyapunov regularity via singular values. Zbl 1384.34018
Barreira, Luis; Valls, Claudia
2017
Lyapunov exponents. Zbl 1407.37001
Barreira, Luís
2017
Strong nonuniform spectrum for arbitrary growth rates. Zbl 1380.37037
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Lyapunov type characterization of hyperbolic behavior. Zbl 1366.37079
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Generalized exponential behavior and topological equivalence. Zbl 1372.37045
Barreira, Luis; Popescu, Liviu Horia; Valls, Claudia
2017
Spectrum of a nonautonomous dynamics for growth rates. Zbl 1399.37011
Barreira, Luis; Valls, Claudia
2017
Nonuniform exponential dichotomies and Lyapunov functions. Zbl 1381.37039
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2017
Tempered exponential dichotomies: admissibility and stability under perturbations. Zbl 1370.37106
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
Hyperbolic sequences of linear operators and evolution maps. Zbl 1461.37038
Barreira, Luis; Popescu, Liviu Horia; Valls, Claudia
2016
Irregular sets of two-sided Birkhoff averages and hyperbolic sets. Zbl 1361.37009
Barreira, Luis; Li, Jinjun; Valls, Claudia
2016
Tempered exponential dichotomies and Lyapunov exponents for perturbations. Zbl 1358.37094
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
Characterization of nonuniform exponential trichotomies for flows. Zbl 1373.37092
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
Admissibility and nonuniformly hyperbolic sets. Zbl 1363.37013
Barreira, Luis; Dragicevic, Davor; Valls, Claudia
2016
Evolution families and nonuniform spectrum. Zbl 1363.37014
Barreira, Luis; Valls, Claudia
2016
Nonuniform hyperbolicity and one-sided admissibility. Zbl 1417.37119
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
Lyapunov’s coefficient of regularity and nonuniform hyperbolicity. Zbl 1359.37054
Barreira, Luis; Valls, Claudia
2016
Robustness for stable impulsive equations via quadratic Lyapunov functions. Zbl 1347.34025
Barreira, Luis; Valls, Claudia
2016
Nonautonomous dynamics with discrete time and topological equivalence. Zbl 1362.37050
Barreira, Luis; Popescu, Liviu Horia; Valls, Claudia
2016
Characterization of nonuniform contractions and expansions with growth rates. Zbl 1352.37051
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2016
Exponential dichotomies for impulsive equations via quadratic functions. Zbl 1357.34091
Barreira, Luis; Valls, Claudia
2016
Exponential dichotomies in average for flows and admissibility. Zbl 1399.37016
Barreira, L.; Dragiçević, D.; Valls, C.
2016
From one-sided dichotomies to two-sided dichotomies. Zbl 1366.37078
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2015
Characterization of strong exponential dichotomies. Zbl 1370.37059
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2015
A Perron-type theorem for nonautonomous differential equations. Zbl 1312.34089
Barreira, Luis; Valls, Claudia
2015
Admissibility for exponential dichotomies in average. Zbl 1351.37211
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2015
Admissibility and nonuniform exponential trichotomies. Zbl 1339.37024
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2015
Positive top Lyapunov exponent via invariant cones: single trajectories. Zbl 1337.37013
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2015
Robustness of noninvertible dichotomies. Zbl 1347.34090
Barreira, Luis; Valls, Claudia
2015
Irregular sets are residual. Zbl 1376.37032
Barreira, Luis; Li, Jinjun; Valls, Claudia
2014
Strong and weak $$(L^p, L^q)$$-admissibility. Zbl 1327.34097
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2014
Nonuniform hyperbolicity and admissibility. Zbl 1332.37024
Barreira, Luis; Valls, Claudia; Dragičević, Davor
2014
Exponential dichotomies with respect to a sequence of norms and admissibility. Zbl 1353.37078
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2014
Irregular sets for ratios of Birkhoff averages are residual. Zbl 1309.37018
Barreira, Luis; Li, Jinjun; Valls, Claudia
2014
Robustness of a weaker notion of exponential dichotomy. Zbl 1352.47012
Barreira, Luis; Valls, Claudia
2014
Robustness of exponential dichotomies in mean. Zbl 1346.37028
Barreira, Luis; Valls, Claudia
2014
Nonuniform dichotomies via Lyapunov functions. Zbl 1358.37063
Barreira, Luis; Valls, Claudia
2014
Robustness of dichotomies and trichotomies for difference equations. Zbl 1309.47010
Barreira, Luis; Valls, Claudia
2014
Introduction to smooth ergodic theory. Zbl 1336.37001
Barreira, Luis; Pesin, Yakov
2013
Lyapunov functions for general nonuniform dichotomies. Zbl 1273.34057
Barreira, Luis; Chu, Jifeng; Valls, Claudia
2013
Multifractal analysis of asymptotically additive sequences. Zbl 1286.37029
Barreira, Luis; Cao, Yongluo; Wang, Juan
2013
Lyapunov functions for strong exponential contractions. Zbl 1339.37032
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2013
Dimension theory of hyperbolic flows. Zbl 1312.37003
Barreira, Luís
2013
Dynamical systems. An introduction. Zbl 1269.37001
Barreira, Luis; Valls, Claudia
2013
Lyapunov functions for strong exponential dichotomies. Zbl 1258.34132
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2013
Stability of nonautonomous equations and Lyapunov functions. Zbl 1316.34062
Barreira, Luis; Valls, Claudia
2013
A Perron-type theorem for nonautonomous difference equations. Zbl 1280.39004
Barreira, Luis; Valls, Claudia
2013
Admissibility versus nonuniform exponential behavior for noninvertible cocycles. Zbl 1268.34101
Barreira, Luis; Valls, Claudia
2013
A Perron-type theorem for nonautonomous delay equations. Zbl 1271.34072
Barreira, Luis; Valls, Claudia
2013
Stable manifolds and nonuniform hyperbolicity: optimal estimates. Zbl 1405.37031
Barreira, Luis; Valls, Claudia
2013
Ergodic theory, hyperbolic dynamics and dimension theory. Zbl 1262.37001
Barreira, Luis
2012
Lyapunov functions and cone families. Zbl 1287.37020
Barreira, Luis; Dragičević, Davor; Valls, Claudia
2012
Ordinary differential equations. Qualitative theory. Transl. from the Portuguese by the authors. Zbl 1264.34001
Barreira, Luis; Valls, Claudia
2012
Bifurcation of limit cycles from a 4-dimensional center in $$\mathbb R^m$$ in resonance $$1:N$$. Zbl 1242.34066
Barreira, Luis; Llibre, Jaume; Valls, Claudia
2012
Stable manifolds for delay equations and parameter dependence. Zbl 1256.37017
Barreira, Luis; Fan, Meng; Valls, Claudia; Zhang, Jimin
2012
Noninvertible cocycles: robustness of exponential dichotomies. Zbl 1268.47021
Barreira, Luís; Valls, Claudia
2012
Complex analysis and differential equations. Zbl 1255.00001
Barreira, Luis; Valls, Claudia
2012
Full shifts and irregular sets. Zbl 1291.37011
Barreira, Luis; Li, Jinjun; Valls, Claudia
2012
Parameter dependence of stable manifolds for delay equations with polynomial dichotomies. Zbl 1248.37031
Barreira, Luis; Fan, Meng; Valls, Claudia; Zhang, Jimin
2012
Nonuniformly hyperbolic cocycles: admissibility and robustness. Zbl 1266.34094
Barreira, Luis; Valls, Claudia
2012
Nonautonomous equations with arbitrary growth rates: A Perron-type theorem. Zbl 1256.34042
Barreira, Luis; Valls, Claudia
2012
Nonautonomous difference equations and a Perron-type theorem. Zbl 1246.39001
Barreira, Luis; Valls, Claudia
2012
Thermodynamic formalism and applications to dimension theory. Zbl 1258.37001
Barreira, Luis
2011
Nonuniform exponential dichotomies and admissibility. Zbl 1221.34141
Barreira, Luís; Valls, Claudia
2011
Dimension estimates in smooth dynamics: a survey of recent results. Zbl 1230.37032
Barreira, Luis; Gelfert, Katrin
2011
Multifractal analysis and phase transitions for hyperbolic and parabolic horseshoes. Zbl 1218.37042
Barreira, Luis; Iommi, Godofredo
2011
Robustness of nonuniform dichotomies with different growth rates. Zbl 1272.34067
Barreira, Luis; Chu, Jifeng; Valls, Claudia
2011
Robustness of nonuniform polynomial dichotomies for difference equations. Zbl 1229.93042
Barreira, Luis; Fan, Meng; Valls, Claudia; Zhang, Jimin
2011
Robust nonuniform dichotomies and parameter dependence. Zbl 1226.37013
Barreira, Luis; Valls, Claudia
2011
Smooth robustness of exponential dichotomies. Zbl 1216.39019
Barreira, Luis; Valls, Claudia
2011
A simple proof of the Grobman-Hartman theorem for nonuniformly hyperbolic flows. Zbl 1234.37024
Barreira, Luis; Valls, Claudia
2011
Center manifolds for impulsive equations under nonuniform hyperbolicity. Zbl 1215.34049
Barreira, Luis; Valls, Claudia
2011
...and 107 more Documents
all top 5

### Cited by 881 Authors

 167 Barreira, Luis Manuel 143 Valls Anglés, Cláudia 44 Dragičević, Davor 23 Zhao, Yun 21 Cao, Yongluo 21 Chen, Ercai 18 Pesin, Yakov Borisovich 17 Iommi, Godofredo 16 Czornik, Adam 16 Varandas, Paulo 15 Mesón, Alejandro M. 15 Vericat, Fernando 14 Gelfert, Katrin Grit 13 Saussol, Benoît 12 Li, Jinjun 12 Tian, Xueting 12 Wolf, Christian K. 11 Climenhaga, Vaughn 11 Megan, Mihail 11 Olsen, Lars Ole Ronnow 11 Xia, Yonghui 10 Backes, Lucas H. 10 Feng, De-Jun 10 Niezabitowski, Michał 10 Schmeling, Jorg 10 Wang, Baowei 10 Zhang, Jimin 10 Zhang, Weinian 9 Ma, Dongkui 9 O’Regan, Donal 9 Popescu, Liviu Horia 9 Rams, Michał 9 Urbański, Mariusz 8 Araújo, Vítor 8 Fan, Meng 8 Preda, Ciprian 8 Sasu, Adina Luminiţa 8 Sasu, Bogdan 8 Silva, César M. 7 Galatolo, Stefano 7 Rodriguez-Hertz, Federico 7 Todd, Mike 7 Yayama, Yuki 6 Babiarz, Artur 6 Bento, António J. G. 6 Cheng, Wenchiao 6 Chu, Jifeng 6 Jordan, Thomas M. 6 Kalinin, Boris 6 Preda, Petre 6 Seuret, Stéphane 6 Tahzibi, Ali 6 Tan, Bo 6 Wang, Juan 6 Wu, Jun 6 Zhao, Cao 6 Zhou, Qinglong 6 Zhou, Xiaoyao 5 Babuţia, Mihai Gabriel 5 Bochi, Jairo 5 Bonotto, Everaldo M. 5 Castañeda, Alvaro 5 Dolgopyat, Dmitry 5 Hasselblatt, Boris 5 Holanda, Carllos 5 Hu, Huyi 5 Kim, Donghan 5 Li, Zhiming 5 Mihailescu, Eugen Gh. 5 Nakano, Yushi 5 Robledo, Gonzalo 5 Rousseau, Jérôme 5 Shu, Lin 5 Thompson, Daniel J. 5 Yang, Jiagang 5 Yin, Zheng 5 Zhang, Wenmeng 5 Zhu, Hailong 4 Andersson, Martin 4 Avila Cordeiro de Melo, Artur 4 Bárány, Balázs 4 Barral, Julien 4 Ben Slimane, Mourad 4 Blumenthal, Alex 4 Brown, Aaron W. 4 Bufetov, Aleksandr Igorevich 4 Ceauşu, Traian 4 Chen, Haibo 4 Dai, Xiongping 4 Doan, Thai Son 4 Fan, Ai Hua 4 Faranda, Davide 4 Gui, Yongxin 4 Jaerisch, Johannes 4 Kesseböhmer, Marc 4 Kuznetsov, Nikolay Vladimirovich 4 Li, Bing 4 Li, Wenxia 4 Liao, Fangfang 4 Liao, Lingmin ...and 781 more Authors
all top 5

### Cited in 213 Serials

 77 Ergodic Theory and Dynamical Systems 53 Journal of Differential Equations 48 Journal of Mathematical Analysis and Applications 39 Discrete and Continuous Dynamical Systems 35 Dynamical Systems 34 Communications in Mathematical Physics 27 Journal of Statistical Physics 27 Transactions of the American Mathematical Society 23 Advances in Mathematics 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Nonlinearity 20 Chaos, Solitons and Fractals 20 Monatshefte für Mathematik 20 Journal of Dynamics and Differential Equations 20 Stochastics and Dynamics 17 Israel Journal of Mathematics 17 Proceedings of the American Mathematical Society 14 Mathematische Zeitschrift 14 Bulletin des Sciences Mathématiques 13 Fractals 13 Journal of Difference Equations and Applications 11 Journal of Functional Analysis 11 Journal of Dynamical Systems and Geometric Theories 10 Mediterranean Journal of Mathematics 10 Science China. Mathematics 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Annales Henri Poincaré 8 Inventiones Mathematicae 8 Journal of Modern Dynamics 7 Annals of Mathematics. Second Series 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Linear Algebra and its Applications 6 Abstract and Applied Analysis 6 Chaos 6 Acta Mathematica Sinica. English Series 6 Journal of Dynamical and Control Systems 6 Qualitative Theory of Dynamical Systems 6 Communications on Pure and Applied Analysis 6 Journal of Applied Analysis and Computation 5 Applied Mathematics and Computation 5 Archiv der Mathematik 5 Journal of Number Theory 5 Results in Mathematics 5 Physica D 5 Nonlinear Dynamics 5 Taiwanese Journal of Mathematics 5 Discrete and Continuous Dynamical Systems. Series B 4 Bulletin of the Australian Mathematical Society 4 Journal of Mathematical Physics 4 Automatica 4 Czechoslovak Mathematical Journal 4 Integral Equations and Operator Theory 4 Mathematische Annalen 4 Electronic Journal of Differential Equations (EJDE) 4 Discrete Dynamics in Nature and Society 4 Regular and Chaotic Dynamics 4 Journal of the European Mathematical Society (JEMS) 4 Advanced Nonlinear Studies 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Milan Journal of Mathematics 4 Advances in Difference Equations 4 International Journal of Number Theory 3 Applicable Analysis 3 Journal d’Analyse Mathématique 3 Periodica Mathematica Hungarica 3 Fundamenta Mathematicae 3 Fuzzy Sets and Systems 3 Journal of the Korean Mathematical Society 3 Mathematika 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Quaestiones Mathematicae 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal of the American Mathematical Society 3 International Journal of Mathematics 3 Aequationes Mathematicae 3 Stochastic Processes and their Applications 3 Topological Methods in Nonlinear Analysis 3 Journal of Mathematical Sciences (New York) 3 Open Systems & Information Dynamics 3 Communications in Nonlinear Science and Numerical Simulation 3 Nonlinear Analysis. Real World Applications 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Analysis in Theory and Applications 2 Journal of the Franklin Institute 2 Linear and Multilinear Algebra 2 Physics Letters. A 2 Ukrainian Mathematical Journal 2 Reviews in Mathematical Physics 2 Annales de l’Institut Fourier 2 Collectanea Mathematica 2 Commentarii Mathematici Helvetici 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Glasgow Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 Mathematische Nachrichten 2 Numerische Mathematik 2 Osaka Journal of Mathematics 2 Semigroup Forum 2 SIAM Journal on Control and Optimization ...and 113 more Serials
all top 5

### Cited in 49 Fields

 758 Dynamical systems and ergodic theory (37-XX) 209 Ordinary differential equations (34-XX) 207 Measure and integration (28-XX) 68 Number theory (11-XX) 62 Difference and functional equations (39-XX) 47 Probability theory and stochastic processes (60-XX) 44 Operator theory (47-XX) 42 Systems theory; control (93-XX) 32 General topology (54-XX) 27 Partial differential equations (35-XX) 21 Differential geometry (53-XX) 14 Statistical mechanics, structure of matter (82-XX) 10 Functional analysis (46-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Manifolds and cell complexes (57-XX) 8 Numerical analysis (65-XX) 8 Quantum theory (81-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Real functions (26-XX) 7 Functions of a complex variable (30-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistics (62-XX) 7 Information and communication theory, circuits (94-XX) 6 Group theory and generalizations (20-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Algebraic geometry (14-XX) 5 Biology and other natural sciences (92-XX) 4 Topological groups, Lie groups (22-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 3 Geophysics (86-XX) 2 Potential theory (31-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.