Edit Profile (opens in new tab) Bernardes, Nilson C. jun. Compute Distance To: Compute Author ID: bernardes.nilson-c-jun Published as: Bernardes, Nilson C. jun.; Bernardes, N. C. jun.; Bernardes, Nilson C. Jr.; da C. Bernardes, Nilson jun.; Bernardes, Nilson C.; Bernardes, N. C. External Links: MGP · ResearchGate · dblp Documents Indexed: 37 Publications since 1993 Reviewing Activity: 29 Reviews Co-Authors: 14 Co-Authors with 22 Joint Publications 291 Co-Co-Authors all top 5 Co-Authors 15 single-authored 6 Peris, Alfredo 6 Pombo, Dinamérico Pereira jun. 4 Bonilla, Antonio 4 Darji, Udayan B. 4 Messaoudi, Ali 3 Vermersch, Rômulo M. 2 Müller, Vladimír 1 Alves, Fabricio F. 1 Cirilo, Patricia R. 1 Pires, Benito 1 Pombo, Dinamérica P. jun. 1 Pujals, Enrique Ramiro 1 Rodenas, Francisco 1 Wu, Xinxing all top 5 Serials 5 Journal of Mathematical Analysis and Applications 5 Proceedings of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 2 Canadian Mathematical Bulletin 2 Journal of Functional Analysis 2 Monatshefte für Mathematik 2 Quaestiones Mathematicae 1 Periodica Mathematica Hungarica 1 Acta Scientiarum Mathematicarum 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Kyungpook Mathematical Journal 1 Mathematica Japonica 1 Semigroup Forum 1 Transactions of the American Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Boletim da Sociedade Paranaense de Matemática. 2a Série 1 Positivity 1 La Gaceta de la Real Sociedad Matemática Española 1 Journal of Function Spaces and Applications 1 Bollettino dell’Unione Matematica Italiana. Series IX all top 5 Fields 19 Dynamical systems and ergodic theory (37-XX) 15 General topology (54-XX) 13 Operator theory (47-XX) 9 Functional analysis (46-XX) 4 Measure and integration (28-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 247 times in 146 Documents Cited by ▼ Year ▼ Distributional chaos for linear operators. Zbl 1302.47014Bernardes, N. C. jun.; Bonilla, A.; Müller, V.; Peris, A. 53 2013 Li-Yorke chaos in linear dynamics. Zbl 1352.37100Bernardes, N. C.; Bonilla, A.; Müller, V.; Peris, A. 39 2015 Graph theoretic structure of maps of the Cantor space. Zbl 1271.37028Bernardes, Nilson C. jun.; Darji, Udayan B. 31 2012 Distributional chaos for operators on Banach spaces. Zbl 1482.47009Bernardes, N. C. jun.; Bonilla, A.; Peris, A.; Wu, X. 18 2018 Expansivity and shadowing in linear dynamics. Zbl 1385.37041Bernardes, Nilson C. jun.; Cirilo, Patricia R.; Darji, Udayan B.; Messaoudi, Ali; Pujals, Enrique R. 18 2018 On orbits of polynomial maps in Banach spaces. Zbl 0946.47042Bernardes, Nilson C. jun. 10 1998 Mean Li-Yorke chaos in Banach spaces. Zbl 1440.47005Bernardes, N. C. jun.; Bonilla, A.; Peris, A. 10 2020 Set-valued chaos in linear dynamics. Zbl 1466.47008Bernardes, N. C. jun.; Peris, A.; Rodenas, F. 8 2017 On the set of points with a dense orbit. Zbl 0947.37005Bernardes, Nilson C. jun. 8 2000 Hyperspace dynamics of generic maps of the Cantor space. Zbl 1348.37017Bernardes, Nilson C. jun.; Vermersch, Rômulo M. 8 2015 Shadowing and structural stability for operators. Zbl 07317318Bernardes, Nilson C. jun.; Messaoudi, Ali 7 2021 On the dynamics of induced maps on the space of probability measures. Zbl 1366.37021Bernardes, Nilson C. jun.; Vermersch, Rômulo M. 5 2016 On the predictability of discrete dynamical systems. Zbl 0993.37008Bernardes, Nilson C. jun. 5 2002 Li-Yorke chaos for composition operators on \(L^p\)-spaces. Zbl 07154794Bernardes, N. C. jun.; Darji, U. B.; Pires, B. 4 2020 Bornological topological modules. Zbl 0822.46060Bernardes, Nilson C. jun.; Pombo, Dinamérico P. jun. 3 1994 On the dynamics of homeomorphisms on the unit ball of \(\mathbb{R}^n\). Zbl 0930.54032Bernardes, Nilson C. jun. 3 1999 A generalized Grobman-Hartman theorem. Zbl 1450.37018Bernardes, Nilson C. jun.; Messaoudi, Ali 3 2020 On the predictability of discrete dynamical systems. III. Zbl 1152.37010Bernardes, Nilson C. jun. 3 2008 On the predictability of discrete dynamical systems. II. Zbl 1073.37013Bernardes, Nilson C. jun. 2 2005 On the existence of polynomials with chaotic behaviour. Zbl 1455.47003Bernardes, Nilson C. jun.; Peris, Alfredo 2 2013 Limit sets of typical continuous functions. Zbl 1100.54022Bernardes, Nilson C. jun. 2 2006 A note on the continuity of multilinear mappings in topological modules. Zbl 0839.46043Bernardes, Nilson C. jun. 1 1996 A theorem on iterations of polynomial maps in several variables. Zbl 0921.32009Bernardes, Nilson C. jun. 1 1998 On nested sequences of convex sets in Banach spaces. Zbl 1241.46007Bernardes, Nilson C. jun. 1 2012 Mackey convergence and bornological topological modules. Zbl 1198.46041Bernardes, Nilson C. jun.; Pombo, Dinamérico P. jun. 1 2010 Addendum to “Limit sets of typical homeomorphisms”. Zbl 1290.37006Bernardes, Nilson C. jun. 1 2014 Shadowing and structural stability for operators. Zbl 07317318Bernardes, Nilson C. jun.; Messaoudi, Ali 7 2021 Mean Li-Yorke chaos in Banach spaces. Zbl 1440.47005Bernardes, N. C. jun.; Bonilla, A.; Peris, A. 10 2020 Li-Yorke chaos for composition operators on \(L^p\)-spaces. Zbl 07154794Bernardes, N. C. jun.; Darji, U. B.; Pires, B. 4 2020 A generalized Grobman-Hartman theorem. Zbl 1450.37018Bernardes, Nilson C. jun.; Messaoudi, Ali 3 2020 Distributional chaos for operators on Banach spaces. Zbl 1482.47009Bernardes, N. C. jun.; Bonilla, A.; Peris, A.; Wu, X. 18 2018 Expansivity and shadowing in linear dynamics. Zbl 1385.37041Bernardes, Nilson C. jun.; Cirilo, Patricia R.; Darji, Udayan B.; Messaoudi, Ali; Pujals, Enrique R. 18 2018 Set-valued chaos in linear dynamics. Zbl 1466.47008Bernardes, N. C. jun.; Peris, A.; Rodenas, F. 8 2017 On the dynamics of induced maps on the space of probability measures. Zbl 1366.37021Bernardes, Nilson C. jun.; Vermersch, Rômulo M. 5 2016 Li-Yorke chaos in linear dynamics. Zbl 1352.37100Bernardes, N. C.; Bonilla, A.; Müller, V.; Peris, A. 39 2015 Hyperspace dynamics of generic maps of the Cantor space. Zbl 1348.37017Bernardes, Nilson C. jun.; Vermersch, Rômulo M. 8 2015 Addendum to “Limit sets of typical homeomorphisms”. Zbl 1290.37006Bernardes, Nilson C. jun. 1 2014 Distributional chaos for linear operators. Zbl 1302.47014Bernardes, N. C. jun.; Bonilla, A.; Müller, V.; Peris, A. 53 2013 On the existence of polynomials with chaotic behaviour. Zbl 1455.47003Bernardes, Nilson C. jun.; Peris, Alfredo 2 2013 Graph theoretic structure of maps of the Cantor space. Zbl 1271.37028Bernardes, Nilson C. jun.; Darji, Udayan B. 31 2012 On nested sequences of convex sets in Banach spaces. Zbl 1241.46007Bernardes, Nilson C. jun. 1 2012 Mackey convergence and bornological topological modules. Zbl 1198.46041Bernardes, Nilson C. jun.; Pombo, Dinamérico P. jun. 1 2010 On the predictability of discrete dynamical systems. III. Zbl 1152.37010Bernardes, Nilson C. jun. 3 2008 Limit sets of typical continuous functions. Zbl 1100.54022Bernardes, Nilson C. jun. 2 2006 On the predictability of discrete dynamical systems. II. Zbl 1073.37013Bernardes, Nilson C. jun. 2 2005 On the predictability of discrete dynamical systems. Zbl 0993.37008Bernardes, Nilson C. jun. 5 2002 On the set of points with a dense orbit. Zbl 0947.37005Bernardes, Nilson C. jun. 8 2000 On the dynamics of homeomorphisms on the unit ball of \(\mathbb{R}^n\). Zbl 0930.54032Bernardes, Nilson C. jun. 3 1999 On orbits of polynomial maps in Banach spaces. Zbl 0946.47042Bernardes, Nilson C. jun. 10 1998 A theorem on iterations of polynomial maps in several variables. Zbl 0921.32009Bernardes, Nilson C. jun. 1 1998 A note on the continuity of multilinear mappings in topological modules. Zbl 0839.46043Bernardes, Nilson C. jun. 1 1996 Bornological topological modules. Zbl 0822.46060Bernardes, Nilson C. jun.; Pombo, Dinamérico P. jun. 3 1994 all cited Publications top 5 cited Publications all top 5 Cited by 148 Authors 18 Bernardes, Nilson C. jun. 18 Peris, Alfredo 11 Yin, Zongbin 10 Darji, Udayan B. 9 Kostić, Marko 8 Steele, Timothy H. 7 Bonilla, Antonio 7 Martínez-Giménez, Félix 7 Messaoudi, Ali 7 Wu, Xinxing 6 Conejero, José Alberto 6 Yang, Qigui 5 Dragičević, Davor 5 He, Shengnan 5 Rodenas, Francisco 4 Backes, Lucas H. 4 Xiang, Qiaomin 3 Bernal-Gonzàlez, Luis 3 Cardeccia, Rodrigo 3 Chen, Guanrong 3 D’Aniello, Emma 3 Good, Chris 3 Luo, Lvlin 3 Müller, Vladimír 3 Oprocha, Piotr 3 Pires, Benito 3 Pombo, Dinamérico Pereira jun. 3 Sun, Xiaoli 3 Xiao, Mingqing 2 Artigue, Alfonso 2 Bayart, Frédéric 2 Bermúdez, Teresa 2 Brian, William Rea 2 Chen, Yuming 2 Cirilo, Patricia R. 2 Gilmore, Clifford 2 Grivaux, Sophie 2 Kalmár-Nagy, Tamás 2 Kiss, Márton 2 Lu, Tianxiu 2 Matheron, Étienne 2 Meddaugh, Jonathan 2 Menet, Quentin 2 Murillo-Arcila, Marina 2 Muro, Santiago 2 Pearl, Elliott 2 Pierce, Pamela B. 2 Pujals, Enrique Ramiro 2 Seoane-Sepúlveda, Juan Benigno 2 Shao, Hua 2 Subrahmonian Moothathu, T. K. 2 Vermersch, Rômulo M. 2 Wei, Yongchang 2 Zhu, Hao 1 Akin, Ethan 1 Alves, Fabricio F. 1 Andres, Jan 1 Barrachina, Xavier 1 Bartoll, Salud 1 Bastos, Jéfferson L. R. 1 Berec, Vesna 1 Bongiorno, Donatella 1 Braz Antunes, Mayara 1 Caprio, Danilo Antonio 1 Cardoso Batista, Tatiane 1 Carroll, Tom 1 Chen, Zhijing 1 Cherkashin, Danila D. 1 Cobos, Alberto 1 Concordido, Cláudia F. R. 1 Cousillas, Gonzalo 1 de Faria, Edson 1 de Oliveira, Welington Luis 1 Di Piazza, Luisa 1 Ding, Xianfeng 1 dos Santos Gonschorowski, Juliano 1 Elekes, Márton 1 Enflo, Per H. 1 Fernández, Leobardo 1 Galán, Víctor J. 1 Gollobit, Bryce 1 Graff, Grzegorz 1 Grosse-Erdmann, Karl-Goswin 1 Gurariĭ, Vladimir Il’ich 1 Hazard, Peter 1 Hou, Bingzhe 1 Huang, Qiuling 1 Huang, Yu 1 Iutzeler, Franck 1 Jiao, Lixin 1 Jiménez-Munguía, Ronald R. 1 Kalina, Kende 1 Kawaguchi, Noriaki 1 Kim, Sung Guen 1 Kiss, Viktor 1 Koo, Namjip 1 Kościelniak, Piotr 1 Kryzhevich, Sergeĭ Gennad’evich 1 Kubica, Łukasz 1 Kupka, Jiří ...and 48 more Authors all top 5 Cited in 75 Serials 17 Journal of Mathematical Analysis and Applications 15 Topology and its Applications 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Ergodic Theory and Dynamical Systems 5 Proceedings of the American Mathematical Society 4 Advances in Mathematics 4 Transactions of the American Mathematical Society 3 Monatshefte für Mathematik 3 Discrete and Continuous Dynamical Systems 3 Novi Sad Journal of Mathematics 2 Archiv der Mathematik 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Dynamics and Differential Equations 2 Journal of Difference Equations and Applications 2 Abstract and Applied Analysis 2 Qualitative Theory of Dynamical Systems 2 Mediterranean Journal of Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Axioms 1 Applicable Analysis 1 Journal d’Analyse Mathématique 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Annales Polonici Mathematici 1 Fundamenta Mathematicae 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Le Matematiche 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Real Analysis Exchange 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Semigroup Forum 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 Aequationes Mathematicae 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mathematical Programming. Series A. Series B 1 Topological Methods in Nonlinear Analysis 1 Bulletin des Sciences Mathématiques 1 Complexity 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Applied Analysis 1 Nonlinear Dynamics 1 Mathematical Inequalities & Applications 1 Revista Matemática Complutense 1 Journal of Dynamical and Control Systems 1 Dynamical Systems 1 Advanced Nonlinear Studies 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Entropy 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 Central European Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Function Spaces and Applications 1 Complex Variables and Elliptic Equations 1 Complex Analysis and Operator Theory 1 Operators and Matrices 1 Discrete and Continuous Dynamical Systems. Series S 1 Annals of Functional Analysis 1 Symmetry 1 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 European Journal of Mathematics 1 Open Mathematics 1 Bollettino dell’Unione Matematica Italiana 1 all top 5 Cited in 26 Fields 94 Dynamical systems and ergodic theory (37-XX) 69 Operator theory (47-XX) 37 General topology (54-XX) 9 Functional analysis (46-XX) 8 Real functions (26-XX) 6 Measure and integration (28-XX) 5 Functions of a complex variable (30-XX) 4 Mathematical logic and foundations (03-XX) 4 Probability theory and stochastic processes (60-XX) 3 Combinatorics (05-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year