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Mardešić, Pavao

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Author ID: mardesic.pavao Recent zbMATH articles by "Mardešić, Pavao"
Published as: Mardešić, Pavao; Mardešić, P.; Mardesic, Pavao; Mardĕsić, Pavao
Documents Indexed: 43 Publications since 1990, including 1 Book

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 436 times in 306 Documents Cited by Year
Linearization of isochronous centers. Zbl 0830.34023
Mardešić, P.; Rousseau, C.; Toni, B.
80
1995
Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\). Zbl 1022.37035
Christopher, C.; Mardešić, P.; Rousseau, C.
57
2003
Darboux linearization and isochronous centers with a rational first integral. Zbl 0881.34041
Mardešić, P.; Moser-Jauslin, L.; Rousseau, C.
39
1997
The period function of reversible quadratic centers. Zbl 1092.34020
Mardešić, P.; Marín, D.; Villadelprat, J.
31
2006
Chebyshev systems and the versal unfolding of the cusps of order \(n\). Zbl 0904.58044
Mardĕsić, Pavao
21
1998
On the time function of the Dulac map for families of meromorphic vector fields. Zbl 1034.34037
Mardešić, P.; Marín, D.; Villadelprat, J.
18
2003
An explicit bound for the multiplicity of zeros of generic Abelian integrals. Zbl 0741.58043
Mardešić, Pavao
16
1991
The number of limit cycles of polynomial deformations of a Hamiltonian vector field. Zbl 0691.58031
Mardešić, P.
16
1990
A generalization of Françoise’s algorithm for calculating higher order Melnikov functions. Zbl 1029.34081
Jebrane, Ahmed; Mardešić, Pavao; Pelletier, Michèle
14
2002
Modulus of analytic classification for unfoldings of generic parabolic diffeomorphisms. Zbl 1077.37035
Mardešić, P.; Roussarie, R.; Rousseau, C.
13
2004
Unfolding of resonant saddles and the Dulac time. Zbl 1153.37388
Mardešić, Pavao; Marín, David; Villadelprat, Jordi
10
2008
A note on a generalization of Françoise’s algorithm for calculating higher order Melnikov functions. Zbl 1274.37012
Jebrane, Ahmed; Mardešić, Pavao; Pelletier, Michèle
10
2004
Fractional Hamiltonian monodromy from a Gauss-Manin monodromy. Zbl 1152.81613
Sugny, D.; Mardešić, P.; Pelletier, M.; Jebrane, A.; Jauslin, H. R.
9
2008
Perturbations of symmetric elliptic Hamiltonians of degree four. Zbl 1105.37034
Li, Chengzhi; Mardešić, Pavao; Roussarie, Robert
9
2006
The index of a vector field tangent to an odd-dimensional hypersurface and the signature of the relative Hessian. Zbl 0946.32016
Gómez-Mont, X.; Mardešić, P.
9
1999
Pseudo-Abelian integrals along Darboux cycles. Zbl 1171.34023
Bobienski, Marcin; Mardesic, Pavao
8
2008
Pseudo-abelian integrals: unfolding generic exponential case. Zbl 1197.34046
Bobieński, Marcin; Mardešić, Pavao; Novikov, Dmitry
8
2009
Multiplicity of fixed points and growth of \(\varepsilon \)-neighborhoods of orbits. Zbl 1263.37069
Mardešić, Pavao; Resman, Maja; Županović, Vesna
8
2012
Normalizability, synchronicity, and relative exactness for vector fields in \(\mathbb C^2\). Zbl 1068.37030
Christopher, C.; Mardešić, P.; Rousseau, C.
7
2004
The index of a vector field tangent to a hypersurface and the signature of the relative Jacobian determinant. Zbl 0891.32013
Gómez-Mont, Xavier; Mardešić, Pavao
7
1997
Unfolding of the Hamiltonian triangle vector field. Zbl 1228.34057
Mardešić, P.; Saavedra, M.; Uribe, M.; Wallace, M.
6
2011
Unfoldings of saddle-nodes and their Dulac time. Zbl 1353.34036
Mardešić, P.; Marín, D.; Saavedra, M.; Villadelprat, J.
5
2016
Pseudo-abelian integrals on slow-fast Darboux systems. (Intégrales pseudo-abéliennes sur des systèmes lent-rapide de Darboux.) Zbl 1278.34031
Bobieński, Marcin; Mardešić, Pavao; Novikov, Dmitry
5
2013
Non-accumulation of critical points of the Poincaré time on hyperbolic polycycles. Zbl 1127.34017
Mardesic, Pavao; Saavedra, Mariana
4
2007
Normal forms and embeddings for power-log transseries. Zbl 1366.37044
Mardešić, P.; Resman, M.; Rolin, J.-P.; Županović, V.
4
2016
Rotation forms and local Hamiltonian monodromy. Zbl 1368.37062
Efstathiou, K.; Giacobbe, A.; Mardešić, P.; Sugny, D.
4
2017
The monodromy problem and the tangential center problem. Zbl 1271.34035
Christopher, C.; Mardešić, P.
4
2010
Le déploiement versel du cusp d’ordre \(n\). (Versal unfolding of the cusp of order \(n\)). Zbl 0767.58005
Mardešić, Pavao
3
1992
On the index of vector fields tangent to hypersurfaces with non-isolated singularities. Zbl 1022.32011
Giraldo, L.; Gómez-Mont, X.; Mardešić, P.
3
2002
Bounding the length of iterated integrals of the first nonzero Melnikov function. Zbl 1418.34075
Mardešić, Pavao; Novikov, Dmitry; Ortiz-Bobadilla, Laura; Pontigo-Herrera, Jessie
3
2018
Flags in zero dimensional complete intersection algebras and indices of real vector fields. Zbl 1175.58015
Giraldo, L.; Gómez-Mont, X.; Mardešić, P.
2
2008
The Fatou coordinate for parabolic Dulac germs. Zbl 1410.37021
Mardešić, P.; Resman, M.; Rolin, J.-P.; Županović, V.
2
2019
Computation of topological numbers via linear algebra: hypersurfaces, vector fields and vector fields on hypersurfaces. Zbl 1113.32305
Giraldo, Luis; Gómez-Mont, Xavier; Mardešić, Pavao
1
1999
The Fatou coordinate for parabolic Dulac germs. Zbl 1410.37021
Mardešić, P.; Resman, M.; Rolin, J.-P.; Županović, V.
2
2019
Bounding the length of iterated integrals of the first nonzero Melnikov function. Zbl 1418.34075
Mardešić, Pavao; Novikov, Dmitry; Ortiz-Bobadilla, Laura; Pontigo-Herrera, Jessie
3
2018
Rotation forms and local Hamiltonian monodromy. Zbl 1368.37062
Efstathiou, K.; Giacobbe, A.; Mardešić, P.; Sugny, D.
4
2017
Unfoldings of saddle-nodes and their Dulac time. Zbl 1353.34036
Mardešić, P.; Marín, D.; Saavedra, M.; Villadelprat, J.
5
2016
Normal forms and embeddings for power-log transseries. Zbl 1366.37044
Mardešić, P.; Resman, M.; Rolin, J.-P.; Županović, V.
4
2016
Pseudo-abelian integrals on slow-fast Darboux systems. (Intégrales pseudo-abéliennes sur des systèmes lent-rapide de Darboux.) Zbl 1278.34031
Bobieński, Marcin; Mardešić, Pavao; Novikov, Dmitry
5
2013
Multiplicity of fixed points and growth of \(\varepsilon \)-neighborhoods of orbits. Zbl 1263.37069
Mardešić, Pavao; Resman, Maja; Županović, Vesna
8
2012
Unfolding of the Hamiltonian triangle vector field. Zbl 1228.34057
Mardešić, P.; Saavedra, M.; Uribe, M.; Wallace, M.
6
2011
The monodromy problem and the tangential center problem. Zbl 1271.34035
Christopher, C.; Mardešić, P.
4
2010
Pseudo-abelian integrals: unfolding generic exponential case. Zbl 1197.34046
Bobieński, Marcin; Mardešić, Pavao; Novikov, Dmitry
8
2009
Unfolding of resonant saddles and the Dulac time. Zbl 1153.37388
Mardešić, Pavao; Marín, David; Villadelprat, Jordi
10
2008
Fractional Hamiltonian monodromy from a Gauss-Manin monodromy. Zbl 1152.81613
Sugny, D.; Mardešić, P.; Pelletier, M.; Jebrane, A.; Jauslin, H. R.
9
2008
Pseudo-Abelian integrals along Darboux cycles. Zbl 1171.34023
Bobienski, Marcin; Mardesic, Pavao
8
2008
Flags in zero dimensional complete intersection algebras and indices of real vector fields. Zbl 1175.58015
Giraldo, L.; Gómez-Mont, X.; Mardešić, P.
2
2008
Non-accumulation of critical points of the Poincaré time on hyperbolic polycycles. Zbl 1127.34017
Mardesic, Pavao; Saavedra, Mariana
4
2007
The period function of reversible quadratic centers. Zbl 1092.34020
Mardešić, P.; Marín, D.; Villadelprat, J.
31
2006
Perturbations of symmetric elliptic Hamiltonians of degree four. Zbl 1105.37034
Li, Chengzhi; Mardešić, Pavao; Roussarie, Robert
9
2006
Modulus of analytic classification for unfoldings of generic parabolic diffeomorphisms. Zbl 1077.37035
Mardešić, P.; Roussarie, R.; Rousseau, C.
13
2004
A note on a generalization of Françoise’s algorithm for calculating higher order Melnikov functions. Zbl 1274.37012
Jebrane, Ahmed; Mardešić, Pavao; Pelletier, Michèle
10
2004
Normalizability, synchronicity, and relative exactness for vector fields in \(\mathbb C^2\). Zbl 1068.37030
Christopher, C.; Mardešić, P.; Rousseau, C.
7
2004
Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\). Zbl 1022.37035
Christopher, C.; Mardešić, P.; Rousseau, C.
57
2003
On the time function of the Dulac map for families of meromorphic vector fields. Zbl 1034.34037
Mardešić, P.; Marín, D.; Villadelprat, J.
18
2003
A generalization of Françoise’s algorithm for calculating higher order Melnikov functions. Zbl 1029.34081
Jebrane, Ahmed; Mardešić, Pavao; Pelletier, Michèle
14
2002
On the index of vector fields tangent to hypersurfaces with non-isolated singularities. Zbl 1022.32011
Giraldo, L.; Gómez-Mont, X.; Mardešić, P.
3
2002
The index of a vector field tangent to an odd-dimensional hypersurface and the signature of the relative Hessian. Zbl 0946.32016
Gómez-Mont, X.; Mardešić, P.
9
1999
Computation of topological numbers via linear algebra: hypersurfaces, vector fields and vector fields on hypersurfaces. Zbl 1113.32305
Giraldo, Luis; Gómez-Mont, Xavier; Mardešić, Pavao
1
1999
Chebyshev systems and the versal unfolding of the cusps of order \(n\). Zbl 0904.58044
Mardĕsić, Pavao
21
1998
Darboux linearization and isochronous centers with a rational first integral. Zbl 0881.34041
Mardešić, P.; Moser-Jauslin, L.; Rousseau, C.
39
1997
The index of a vector field tangent to a hypersurface and the signature of the relative Jacobian determinant. Zbl 0891.32013
Gómez-Mont, Xavier; Mardešić, Pavao
7
1997
Linearization of isochronous centers. Zbl 0830.34023
Mardešić, P.; Rousseau, C.; Toni, B.
80
1995
Le déploiement versel du cusp d’ordre \(n\). (Versal unfolding of the cusp of order \(n\)). Zbl 0767.58005
Mardešić, Pavao
3
1992
An explicit bound for the multiplicity of zeros of generic Abelian integrals. Zbl 0741.58043
Mardešić, Pavao
16
1991
The number of limit cycles of polynomial deformations of a Hamiltonian vector field. Zbl 0691.58031
Mardešić, P.
16
1990
all top 5

Cited by 242 Authors

29 Romanovski, Valery G.
24 Giné, Jaume
24 Villadelprat, Jordi
20 Mardešić, Pavao
13 Gasull, Armengol
12 Llibre, Jaume
12 Mañosas, Francesc
11 Algaba, Antonio
10 Han, Maoan
10 Rousseau, Christiane
9 García, Cristóbal
9 Novikov, Dmitry
9 Reyes, Manuel
8 Chen, Xingwu
8 Huang, Wentao
8 Zhao, Yulin
7 Christopher, Colin J.
7 Gavrilov, Lubomir
7 Li, Chengzhi
7 Liu, Yirong
7 Oliveira, Regilene D. S.
7 Xiao, Dongmei
6 Efstathiou, Konstantinos
6 Ferčec, Brigita
6 Resman, Maja
6 Torregrosa, Joan
6 Wu, Yusen
6 Županović, Vesna
5 García, Isaac A.
5 Grau, Maite
5 Huzak, Renato
5 Marín Pérez, David
5 Martynchuk, Nikolay
5 Saavedra, Mariana
5 Sabatini, Marco
5 Sun, Xianbo
5 Zhang, Weinian
4 Aziz, Waleed
4 Chavarriga, Javier
4 Fernandes, Wilker
4 Françoise, Jean-Pierre
4 Jarque, Xavier
4 Pontigo-Herrera, Jessie
4 Rolin, Jean-Philippe
4 Uribe, Marco
4 Vlah, Domagoj
4 Xiong, Yanqin
4 Yakovenko, Sergei
4 Żołądek, Henryk
3 Aleksandrov, Aleksandr Grigor’evich
3 Asheghi, Rasoul
3 Bobieński, Marcin
3 Broer, Henk W.
3 Buică, Adriana
3 Cima, Anna
3 Edneral, Victor F.
3 Garijo, Antonio
3 Hu, Zhaoping
3 Liu, Changjian
3 Ramírez, Rafael O.
3 Ramírez, Valentín
3 Roussarie, Robert
3 Seade, Jose Antonio
3 Tang, Yilei
3 Valls Anglés, Cláudia
3 Wang, Qinlong
3 Yang, Lijun
2 Arriagada-Silva, Waldo
2 Bakhshalizadeh, Ali
2 Binyamini, Gal
2 Bonckaert, Patrick
2 Braghtha, Aymen
2 Bukhshtaber, Viktor Matveevich
2 Buzzi, Claudio Aguinaldo
2 Carvalho, Yagor Romano
2 Chen, Guoting
2 Costin, Rodica D.
2 Doličanin, Diana
2 Dukarić, Maša
2 Dumortier, Freddy
2 Fuentes, Natalia
2 Geyer, Anna
2 Ghose Choudhury, Anindya
2 Gómez-Mont, Xavier
2 Guha, Partha
2 Iliev, Iliya Dimov
2 Ilyashenko, Yulij Sergeevich
2 Jebrane, Ahmed
2 Kazemi, Rasool
2 Klimeš, Martin
2 Leĭkin, D. V.
2 Lloyd, Noel Glynne
2 Maza, Susanna
2 Movasati, Hossein
2 Novaes, Douglas Duarte
2 Ortiz-Bobadilla, Laura
2 Pantazi, Chara
2 Pearson, Jane Margaret
2 Prohens, Rafel
2 Rebollo-Perdomo, Salomón
...and 142 more Authors
all top 5

Cited in 78 Serials

62 Journal of Differential Equations
24 Journal of Mathematical Analysis and Applications
21 Bulletin des Sciences Mathématiques
17 Qualitative Theory of Dynamical Systems
10 Applied Mathematics and Computation
10 Journal of Dynamical and Control Systems
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 Chaos, Solitons and Fractals
7 Journal of Dynamics and Differential Equations
6 Computers & Mathematics with Applications
5 Annales de l’Institut Fourier
5 Functional Analysis and its Applications
5 Journal of Computational and Applied Mathematics
5 Discrete and Continuous Dynamical Systems
4 Communications in Mathematical Physics
4 Proceedings of the American Mathematical Society
4 Physica D
3 Transactions of the American Mathematical Society
3 Applied Mathematics Letters
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Nonlinear Dynamics
2 Journal of Mathematical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Journal of Geometry and Physics
2 Advances in Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Inventiones Mathematicae
2 Mathematische Zeitschrift
2 Acta Mathematicae Applicatae Sinica. English Series
2 Mathematical and Computer Modelling
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Difference Equations and Applications
2 Abstract and Applied Analysis
2 Regular and Chaotic Dynamics
2 Journal of Nonlinear Mathematical Physics
2 Nonlinear Analysis. Real World Applications
2 Discrete and Continuous Dynamical Systems. Series B
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Communications on Pure and Applied Analysis
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Mediterranean Journal of Mathematics
2 Advances in Difference Equations
1 Israel Journal of Mathematics
1 Journal of Mathematical Biology
1 Nonlinearity
1 Russian Mathematical Surveys
1 Reviews in Mathematical Physics
1 Duke Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal für die Reine und Angewandte Mathematik
1 Mathematics and Computers in Simulation
1 Programming and Computer Software
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Siberian Mathematical Journal
1 Ergodic Theory and Dynamical Systems
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of Symbolic Computation
1 Revista Matemática Iberoamericana
1 International Journal of Mathematics
1 Indagationes Mathematicae. New Series
1 Electronic Journal of Differential Equations (EJDE)
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Electronic Research Announcements of the American Mathematical Society
1 Open Systems & Information Dynamics
1 Acta Mathematica Sinica. English Series
1 Lobachevskii Journal of Mathematics
1 Differential Equations
1 Dynamical Systems
1 Journal of Applied Mathematics
1 Journal of Applied Mathematics and Computing
1 Analysis and Applications (Singapore)
1 Proyecciones
1 Discrete and Continuous Dynamical Systems. Series S
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Nonlinear Analysis. Theory, Methods & Applications

Citations by Year