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de Melo, Welington

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Author ID: de-melo.welington Recent zbMATH articles by "de Melo, Welington"
Published as: De Melo, W.; De Melo, Welington; de Melo, W.; de Melo, Welington
Homepage: http://w3.impa.br/~demelo/
External Links: MGP · Wikidata · GND
Documents Indexed: 50 Publications since 1973, including 9 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 1,231 times in 993 Documents Cited by Year
Geometric theory of dynamical systems. An introduction. Transl. from the Portuguese by A. K. Manning. Zbl 0491.58001
Palis, Jacob jun.; de Melo, Welington
374
1982
One-dimensional dynamics. Zbl 0791.58003
de Melo, Welington; van Strien, Sebastian
366
1993
Julia-Fatou-Sullivan theory for real one-dimensional dynamics. Zbl 0761.58007
Martens, M.; de Melo, W.; van Strien, Sebastian
60
1992
On Lienard’s equation. Zbl 0362.34022
Lins, A.; de Melo, W.; Pugh, C. C.
57
1977
A structure theorem in one dimensional dynamics. Zbl 0737.58020
de Melo, W.; van Strien, Sebastian
46
1989
Rigidity of critical circle mappings. I. Zbl 0988.37047
de Faria, Edson; de Melo, Welington
40
1999
Regular or stochastic dynamics in real analytic families of unimodal maps. Zbl 1050.37018
Avila, Artur; Lyubich, Mikhail; de Melo, Welington
31
2003
Rigidity of critical circle mappings. II. Zbl 0988.37048
de Faria, Edson; de Melo, Welington
25
2000
Structural stability of diffeomorphisms on two-manifolds. Zbl 0291.58011
de Melo, W.
22
1973
Global hyperbolicity of renormalization for \(C^r\) unimodal mappings. Zbl 1129.37021
de Faria, Edson; de Melo, Welington; Pinto, Alberto
21
2006
On Cherry flows. Zbl 0694.58025
Martens, Marco; van Strien, Sebastian; de Melo, Welington; Mendes, Pedro
20
1990
Moduli of stability of two-dimensional diffeomorphisms. Zbl 0447.58025
de Melo, W.
18
1980
Renormalization in one-dimensional dynamics. Zbl 1258.37046
De Melo, W.
16
2011
Moduli of stability for diffeomorphisms. Zbl 0445.58020
De Melo, W.; Palis, J.
15
1980
Diffeomorphisms on surfaces with finite number of moduli. Zbl 0609.58023
de Melo, W.; van Strien, S. J.
14
1987
Universal models for Lorenz maps. Zbl 1108.37300
Martens, Marco; de Melo, Welington
13
2001
One-dimensional dynamics: The Schwarzian derivative and beyond. Zbl 0651.58019
De Melo, W.; Van Strien, Sebastian
13
1988
Rigidity of smooth critical circle maps. Zbl 1366.37098
Guarino, Pablo; de Melo, Welington
9
2017
Rigidity of \(C^2\) infinitely renormalizable unimodal maps. Zbl 0982.37026
de Melo, W.; Pinto, A. A.
7
1999
The cost of computing integers. Zbl 0851.11054
de Melo, W.; Svaiter, B. F.
7
1996
Mathematical tools for one-dimensional dynamics. Zbl 1154.30001
De Faria, Edson; De Melo, Welington
6
2008
Introduction to dynamical systems. (Introducao aos sistemas dinamicos). Zbl 0507.58001
Palis, Jacob jun.; de Melo, Welington
6
1978
A finiteness problem for one dimensional maps. Zbl 0656.54029
De Melo, W.
5
1987
On the structure of the Pareto set of generic mappings. Zbl 0414.58014
de Melo, W.
5
1976
Rigidity of critical circle maps. Zbl 1400.37047
Guarino, Pablo; Martens, Marco; De Melo, Welington
4
2018
Rigidity and renormalization in one dimensional dynamical systems. Zbl 0914.58016
de Melo, W.
4
1998
A type of moduli for saddle connections of planar diffeomorphisms. Zbl 0672.58036
De Melo, W.; Dumortier, F.
4
1988
The connected components of Morse-Smale vector fields on two-manifolds. Zbl 0356.58007
Gutierrez, C.; de Melo, W.
4
1977
Chaotic period doubling. Zbl 1160.37369
Chandramouli, V. V. M. S.; Martens, M.; de Melo, W.; Tresser, C. P.
3
2009
The multipliers of periodic points in one-dimensional dynamics. Zbl 0989.37032
Martens, Marco; de Melo, Welington
3
1999
Characterising diffeomorphisms with modulus of stability one. Zbl 0482.58022
De Melo, W.; Palis, J.; van Strien, S. J.
3
1981
Stability and optimization of several functions. Zbl 0327.58008
de Melo, W.
3
1976
Mathematical aspects of quantum field theory. With foreword by Dennis Sullivan. Zbl 1200.81001
de Faria, Edson; de Melo, Welington
2
2010
On the cyclicity of recurrent flows on surfaces. Zbl 0943.37022
de Melo, W.
2
1997
A full family of multimodal maps on the circle. Zbl 1243.37034
de Melo, Welington; Salomão, Pedro A. S.; Vargas, Edson
1
2011
Bifurcation of unimodal maps. Zbl 1073.37042
de Melo, Welington
1
2003
The \(C^ 1\) Brunovsky hypothesis. Zbl 0810.58018
de Melo, Welington; Pugh, Charles
1
1994
Rigidity of critical circle maps. Zbl 1400.37047
Guarino, Pablo; Martens, Marco; De Melo, Welington
4
2018
Rigidity of smooth critical circle maps. Zbl 1366.37098
Guarino, Pablo; de Melo, Welington
9
2017
Renormalization in one-dimensional dynamics. Zbl 1258.37046
De Melo, W.
16
2011
A full family of multimodal maps on the circle. Zbl 1243.37034
de Melo, Welington; Salomão, Pedro A. S.; Vargas, Edson
1
2011
Mathematical aspects of quantum field theory. With foreword by Dennis Sullivan. Zbl 1200.81001
de Faria, Edson; de Melo, Welington
2
2010
Chaotic period doubling. Zbl 1160.37369
Chandramouli, V. V. M. S.; Martens, M.; de Melo, W.; Tresser, C. P.
3
2009
Mathematical tools for one-dimensional dynamics. Zbl 1154.30001
De Faria, Edson; De Melo, Welington
6
2008
Global hyperbolicity of renormalization for \(C^r\) unimodal mappings. Zbl 1129.37021
de Faria, Edson; de Melo, Welington; Pinto, Alberto
21
2006
Regular or stochastic dynamics in real analytic families of unimodal maps. Zbl 1050.37018
Avila, Artur; Lyubich, Mikhail; de Melo, Welington
31
2003
Bifurcation of unimodal maps. Zbl 1073.37042
de Melo, Welington
1
2003
Universal models for Lorenz maps. Zbl 1108.37300
Martens, Marco; de Melo, Welington
13
2001
Rigidity of critical circle mappings. II. Zbl 0988.37048
de Faria, Edson; de Melo, Welington
25
2000
Rigidity of critical circle mappings. I. Zbl 0988.37047
de Faria, Edson; de Melo, Welington
40
1999
Rigidity of \(C^2\) infinitely renormalizable unimodal maps. Zbl 0982.37026
de Melo, W.; Pinto, A. A.
7
1999
The multipliers of periodic points in one-dimensional dynamics. Zbl 0989.37032
Martens, Marco; de Melo, Welington
3
1999
Rigidity and renormalization in one dimensional dynamical systems. Zbl 0914.58016
de Melo, W.
4
1998
On the cyclicity of recurrent flows on surfaces. Zbl 0943.37022
de Melo, W.
2
1997
The cost of computing integers. Zbl 0851.11054
de Melo, W.; Svaiter, B. F.
7
1996
The \(C^ 1\) Brunovsky hypothesis. Zbl 0810.58018
de Melo, Welington; Pugh, Charles
1
1994
One-dimensional dynamics. Zbl 0791.58003
de Melo, Welington; van Strien, Sebastian
366
1993
Julia-Fatou-Sullivan theory for real one-dimensional dynamics. Zbl 0761.58007
Martens, M.; de Melo, W.; van Strien, Sebastian
60
1992
On Cherry flows. Zbl 0694.58025
Martens, Marco; van Strien, Sebastian; de Melo, Welington; Mendes, Pedro
20
1990
A structure theorem in one dimensional dynamics. Zbl 0737.58020
de Melo, W.; van Strien, Sebastian
46
1989
One-dimensional dynamics: The Schwarzian derivative and beyond. Zbl 0651.58019
De Melo, W.; Van Strien, Sebastian
13
1988
A type of moduli for saddle connections of planar diffeomorphisms. Zbl 0672.58036
De Melo, W.; Dumortier, F.
4
1988
Diffeomorphisms on surfaces with finite number of moduli. Zbl 0609.58023
de Melo, W.; van Strien, S. J.
14
1987
A finiteness problem for one dimensional maps. Zbl 0656.54029
De Melo, W.
5
1987
Geometric theory of dynamical systems. An introduction. Transl. from the Portuguese by A. K. Manning. Zbl 0491.58001
Palis, Jacob jun.; de Melo, Welington
374
1982
Characterising diffeomorphisms with modulus of stability one. Zbl 0482.58022
De Melo, W.; Palis, J.; van Strien, S. J.
3
1981
Moduli of stability of two-dimensional diffeomorphisms. Zbl 0447.58025
de Melo, W.
18
1980
Moduli of stability for diffeomorphisms. Zbl 0445.58020
De Melo, W.; Palis, J.
15
1980
Introduction to dynamical systems. (Introducao aos sistemas dinamicos). Zbl 0507.58001
Palis, Jacob jun.; de Melo, Welington
6
1978
On Lienard’s equation. Zbl 0362.34022
Lins, A.; de Melo, W.; Pugh, C. C.
57
1977
The connected components of Morse-Smale vector fields on two-manifolds. Zbl 0356.58007
Gutierrez, C.; de Melo, W.
4
1977
On the structure of the Pareto set of generic mappings. Zbl 0414.58014
de Melo, W.
5
1976
Stability and optimization of several functions. Zbl 0327.58008
de Melo, W.
3
1976
Structural stability of diffeomorphisms on two-manifolds. Zbl 0291.58011
de Melo, W.
22
1973
all top 5

Cited by 1,130 Authors

23 van Strien, Sebastian J.
16 Bruin, Henk
15 Morales, Carlos Arnoldo
14 de Melo, Welington
14 Llibre, Jaume
14 Martens, Marco
13 Pochinka, Olga Vital’evna
12 Lyubich, Mikhail Yur’evich
10 Araújo, Vítor
10 Fiedler, Bernold
10 Osinga, Hinke Maria
10 Shen, Weixiao
10 Yampolsky, Michael
10 Zhang, Weinian
9 Garcia, Ronaldo A.
9 Rocha, Carlos
8 Avila Cordeiro de Melo, Artur
8 Cánovas, Jose S.
8 Jiménez López, Víctor
8 Khanin, Konstantin M.
8 Pacifico, Maria José
8 Rivera-Letelier, Juan
8 Sotomayor, Jorge
8 Zhuzhoma, Evgeniĭ Viktorovich
7 Diamond, Phil
7 Grines, Vyacheslav Zigmundovich
7 Hale, Jack Kenneth
7 Jiang, Yunping
7 Kloeden, Peter Eris
7 Krauskopf, Bernd
7 Luzzatto, Stefano
7 Palmisano, Liviana
7 Pinto, Alberto Adrego
7 Pokrovskiĭ, Alexeĭ Vadimovich
7 Raugel, Geneviève
7 Vargas, Edson
6 Chen, Hebai
6 de Faria, Edson
6 Labarca, Rafael
6 Moreira, Carlos Gustavo Tamm de Araujo
6 Noorani, Mohd Salmi Mohd
6 Palis, Jacob jun.
6 Smania, Daniel
6 Świątek, Grzegorz
6 Todd, Mike
6 Tresser, Charles
6 Viana, Marcelo
5 Akhatkulov, Sokhobiddin
5 Baladi, Viviane
5 Bessa, Mário
5 Bielecki, Andrzej
5 Blokh, Alexander M.
5 Brunovský, Pavol
5 de la Llave, Rafael
5 Dobbs, Neil B.
5 Dumortier, Freddy
5 Gasull, Armengol
5 Graczyk, Jacek
5 Guarino, Pablo
5 Gutierrez, Carlos
5 Ivanov, Anatoli F.
5 Kozyakin, Viktor Sergeevich
5 Levin, Genadi M.
5 Li, Lin
5 Pumariño, Antonio
5 Rodríguez, José Angel
5 Sakai, Kazuhiro
5 Yorke, James Alan
4 Akhadkulov, Habibulla
4 Alvin, Lori
4 Amigó, José María
4 Berger, Pierre
4 Broer, Henk W.
4 Cao, Yongluo
4 Catsigeras, Eleonora
4 Daniilidis, Aris
4 Dzhalilov, Akhtam
4 Freitas, Jorge Milhazes
4 Gaidashev, Denis G.
4 Han, Maoan
4 Homburg, Ale Jan
4 Joly, Romain
4 Kocić, Saša
4 Kozlovski, Oleg
4 Kruglov, Vladislav E.
4 Li, Chengzhi
4 Li, Ming-Chia
4 Li, Weigu
4 López-Ruiz, Ricardo
4 López, José Luis
4 Maksymenko, Sergiĭ Ivanovych
4 Medvedev, Vladislav Sergeevich
4 Misiurewicz, Michał
4 Nowicki, Tomasz
4 Pinheiro, Vilton
4 Pires, Benito
4 Przytycki, Feliks
4 Rand, David A.
4 Snoha, L’ubomír
4 Turaev, Dmitry V.
...and 1,030 more Authors
all top 5

Cited in 225 Serials

64 Journal of Differential Equations
51 Communications in Mathematical Physics
41 Transactions of the American Mathematical Society
41 Ergodic Theory and Dynamical Systems
32 Physica D
30 Proceedings of the American Mathematical Society
26 Discrete and Continuous Dynamical Systems
24 Journal of Mathematical Analysis and Applications
22 Topology and its Applications
21 Inventiones Mathematicae
21 Journal of Difference Equations and Applications
19 Chaos, Solitons and Fractals
17 Journal of Dynamics and Differential Equations
17 Qualitative Theory of Dynamical Systems
16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Advances in Mathematics
13 Annales de l’Institut Fourier
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Bulletin of the Brazilian Mathematical Society. New Series
8 Mathematische Zeitschrift
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Journal of Mathematical Sciences (New York)
7 Israel Journal of Mathematics
7 Journal of Statistical Physics
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Publications Mathématiques
7 Journal of the American Mathematical Society
7 Boletim da Sociedade Brasileira de Matemática. Nova Série
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Conformal Geometry and Dynamics
7 Discrete and Continuous Dynamical Systems. Series B
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Physics Letters. A
6 Duke Mathematical Journal
6 Indagationes Mathematicae. New Series
6 Journal of Nonlinear Science
6 Regular and Chaotic Dynamics
6 Journal of the European Mathematical Society (JEMS)
6 Communications in Nonlinear Science and Numerical Simulation
6 Proceedings of the Steklov Institute of Mathematics
6 Nonlinear Analysis. Theory, Methods & Applications
5 Mathematical Notes
5 Nonlinearity
5 Acta Applicandae Mathematicae
5 Journal of Global Optimization
5 Nonlinear Dynamics
5 Chaos
5 Journal of Dynamical and Control Systems
5 Differential Equations
5 SIAM Journal on Applied Dynamical Systems
5 Nonlinear Oscillations
5 Science China. Mathematics
4 Journal d’Analyse Mathématique
4 Journal of Geometry and Physics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Boletim da Sociedade Brasileira de Matemática
4 Journal of Computational and Applied Mathematics
4 Mathematische Annalen
4 Osaka Journal of Mathematics
4 Applied Mathematics and Mechanics. (English Edition)
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Bulletin des Sciences Mathématiques
4 Acta Mathematica Sinica. English Series
4 Dynamical Systems
3 International Journal of General Systems
3 Journal of Mathematical Biology
3 Journal of Mathematical Physics
3 Acta Mathematica
3 Journal of Economic Theory
3 Monatshefte für Mathematik
3 Systems & Control Letters
3 Applied Mathematics Letters
3 Dynamics and Stability of Systems
3 Science in China. Series A
3 Geometric and Functional Analysis. GAFA
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Acta Mathematica Sinica. New Series
3 Chinese Science Bulletin
3 Abstract and Applied Analysis
3 Discrete Dynamics in Nature and Society
3 Nonlinear Analysis. Real World Applications
3 São Paulo Journal of Mathematical Sciences
2 Applicable Analysis
2 Computers & Mathematics with Applications
2 Journal of Computational Physics
2 Mathematical Biosciences
2 Ukrainian Mathematical Journal
2 Geometriae Dedicata
2 Journal of Mathematical Economics
2 Journal of the Mathematical Society of Japan
2 Mathematica Slovaca
2 Memoirs of the American Mathematical Society
2 Results in Mathematics
2 Theoretical Computer Science
2 Advances in Applied Mathematics
2 Circuits, Systems, and Signal Processing
2 Chinese Annals of Mathematics. Series B
2 Journal of Complexity
...and 125 more Serials
all top 5

Cited in 50 Fields

784 Dynamical systems and ergodic theory (37-XX)
165 Ordinary differential equations (34-XX)
53 General topology (54-XX)
49 Partial differential equations (35-XX)
43 Manifolds and cell complexes (57-XX)
38 Difference and functional equations (39-XX)
38 Biology and other natural sciences (92-XX)
37 Global analysis, analysis on manifolds (58-XX)
31 Differential geometry (53-XX)
30 Measure and integration (28-XX)
29 Functions of a complex variable (30-XX)
25 Numerical analysis (65-XX)
25 Systems theory; control (93-XX)
22 Mechanics of particles and systems (70-XX)
21 Real functions (26-XX)
20 Computer science (68-XX)
18 Probability theory and stochastic processes (60-XX)
15 Operator theory (47-XX)
15 Statistical mechanics, structure of matter (82-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Several complex variables and analytic spaces (32-XX)
10 Operations research, mathematical programming (90-XX)
9 Quantum theory (81-XX)
8 Combinatorics (05-XX)
8 Algebraic geometry (14-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Fluid mechanics (76-XX)
6 Number theory (11-XX)
5 History and biography (01-XX)
5 Functional analysis (46-XX)
4 General and overarching topics; collections (00-XX)
4 Convex and discrete geometry (52-XX)
4 Information and communication theory, circuits (94-XX)
3 Algebraic topology (55-XX)
3 Optics, electromagnetic theory (78-XX)
2 Mathematical logic and foundations (03-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
2 Statistics (62-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)

Citations by Year

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