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Guardia, Marcel

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Author ID: guardia.marcel Recent zbMATH articles by "Guardia, Marcel"
Published as: Guardia, M.; Guardia, Marcel; Guàrdia, Marcel
External Links: ORCID
Documents Indexed: 19 Publications since 2010

Publications by Year

Citations contained in zbMATH

18 Publications have been cited 227 times in 173 Documents Cited by Year
Generic bifurcations of low codimension of planar Filippov systems. Zbl 1225.34046
Guardia, M.; Seara, T. M.; Teixeira, M. A.
80
2011
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation. Zbl 1311.35284
Guardia, M.; Kaloshin, Vadim
28
2015
An analytical approach to codimension-2 sliding bifurcations in the dry-friction oscillator. Zbl 1201.37086
Guardia, Marcel; Hogan, S. John; Seara, Tere M.
23
2010
Growth of Sobolev norms for the analytic NLS on \(\mathbb{T}^2\). Zbl 1353.35260
Guardia, M.; Haus, E.; Procesi, M.
14
2016
Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results. Zbl 1271.34050
Baldomá, Inmaculada; Fontich, Ernest; Guardia, Marcel; Seara, Tere M.
14
2012
Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem. Zbl 1404.70028
Féjoz, Jacques; Guàrdia, Marcel; Kaloshin, Vadim; Roldán, Pablo
12
2016
Oscillatory motions for the restricted planar circular three body problem. Zbl 1398.70030
Guardia, Marcel; Martín, Pau; Seara, Tere M.
12
2016
Growth of Sobolev norms in the cubic nonlinear Schrödinger equation with a convolution potential. Zbl 1296.35169
Guardia, Marcel
11
2014
Exponentially small splitting for the pendulum: A classical problem revisited. Zbl 1219.34001
Guardia, Marcel; Olivé, Carme; Seara, Tere M.
7
2010
Oscillatory orbits in the restricted elliptic planar three body problem. Zbl 1404.70029
Guardia, Marcel; Seara, Tere M.; Martín, Pau; Sabbagh, Lara
6
2017
Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation. Zbl 1248.34054
Guardia, Marcel; Seara, Tere M.
6
2012
Erratum to: “Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation”. Zbl 1433.35364
Guardia, Marcel; Kaloshin, Vadim
3
2017
A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems. Zbl 1378.37104
Guardia, M.; Kaloshin, Vadim; Zhang, Jian Lu
3
2016
Secular instability in the three-body problem. Zbl 1382.70007
Féjoz, J.; Guardia, M.
3
2016
Splitting of separatrices in the resonances of nearly integrable Hamiltonian systems of one and a half degrees of freedom. Zbl 1307.37033
Guardia, Marcel
2
2013
A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation. Zbl 1427.35254
Guardia, Marcel; Hani, Zaher; Haus, Emanuele; Maspero, Alberto; Procesi, Michela
1
2019
Asymptotic density of collision orbits in the restricted circular planar 3 body problem. Zbl 07061537
Guardia, Marcel; Kaloshin, Vadim; Zhang, Jianlu
1
2019
Homoclinic solutions to infinity and oscillatory motions in the restricted planar circular three-body problem. Zbl 1302.70026
Guardia, Marcel; Martín, Pau; Seara, Tere M.
1
2013
A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation. Zbl 1427.35254
Guardia, Marcel; Hani, Zaher; Haus, Emanuele; Maspero, Alberto; Procesi, Michela
1
2019
Asymptotic density of collision orbits in the restricted circular planar 3 body problem. Zbl 07061537
Guardia, Marcel; Kaloshin, Vadim; Zhang, Jianlu
1
2019
Oscillatory orbits in the restricted elliptic planar three body problem. Zbl 1404.70029
Guardia, Marcel; Seara, Tere M.; Martín, Pau; Sabbagh, Lara
6
2017
Erratum to: “Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation”. Zbl 1433.35364
Guardia, Marcel; Kaloshin, Vadim
3
2017
Growth of Sobolev norms for the analytic NLS on \(\mathbb{T}^2\). Zbl 1353.35260
Guardia, M.; Haus, E.; Procesi, M.
14
2016
Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem. Zbl 1404.70028
Féjoz, Jacques; Guàrdia, Marcel; Kaloshin, Vadim; Roldán, Pablo
12
2016
Oscillatory motions for the restricted planar circular three body problem. Zbl 1398.70030
Guardia, Marcel; Martín, Pau; Seara, Tere M.
12
2016
A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems. Zbl 1378.37104
Guardia, M.; Kaloshin, Vadim; Zhang, Jian Lu
3
2016
Secular instability in the three-body problem. Zbl 1382.70007
Féjoz, J.; Guardia, M.
3
2016
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation. Zbl 1311.35284
Guardia, M.; Kaloshin, Vadim
28
2015
Growth of Sobolev norms in the cubic nonlinear Schrödinger equation with a convolution potential. Zbl 1296.35169
Guardia, Marcel
11
2014
Splitting of separatrices in the resonances of nearly integrable Hamiltonian systems of one and a half degrees of freedom. Zbl 1307.37033
Guardia, Marcel
2
2013
Homoclinic solutions to infinity and oscillatory motions in the restricted planar circular three-body problem. Zbl 1302.70026
Guardia, Marcel; Martín, Pau; Seara, Tere M.
1
2013
Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results. Zbl 1271.34050
Baldomá, Inmaculada; Fontich, Ernest; Guardia, Marcel; Seara, Tere M.
14
2012
Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation. Zbl 1248.34054
Guardia, Marcel; Seara, Tere M.
6
2012
Generic bifurcations of low codimension of planar Filippov systems. Zbl 1225.34046
Guardia, M.; Seara, T. M.; Teixeira, M. A.
80
2011
An analytical approach to codimension-2 sliding bifurcations in the dry-friction oscillator. Zbl 1201.37086
Guardia, Marcel; Hogan, S. John; Seara, Tere M.
23
2010
Exponentially small splitting for the pendulum: A classical problem revisited. Zbl 1219.34001
Guardia, Marcel; Olivé, Carme; Seara, Tere M.
7
2010
all top 5

Cited by 240 Authors

15 M-Seara, Tere
11 Guardia, Marcel
8 Teixeira, Marco Antonio
7 de Carvalho, Tiago
7 Procesi, Michela
6 Baldomá, Inmaculada
6 Delshams, Amadeu
6 Jeffrey, Mike R.
6 Martín, Pau
6 Qin, Wenjie
6 Simpson, David John Warwick
6 Tonon, Durval José
5 Buzzi, Claudio Aguinaldo
5 Hani, Zaher
5 Haus, Emanuele
5 Novaes, Douglas Duarte
5 Pinzari, Gabriella
4 Fontich, Ernest
4 Gonchenko, Marina S.
4 Gutiérrez, Pere
4 Kaloshin, Vadim Yu.
4 Ponce, Enrique
4 Tang, Sanyi
3 Castejón, Oriol
3 Chen, Hebai
3 Chen, Xingwu
3 Gerard, Patrick
3 Huang, Lihong
3 Li, Tao
3 Makarenkov, Oleg Yuryĭovych
3 Maspero, Alberto
3 Pi, Dingheng
3 Tang, Guangyao
3 Torres Peral, Francisco
3 Xiang, Changcheng
3 Zhang, Jianlu
2 Baldomá, Immaculada
2 Bonet-Revés, Carles
2 Bossolini, Elena
2 Brøns, Morten
2 Castillo, Juan J.
2 de Carvalho Braga, Denis
2 de la Llave, Rafael
2 Euzébio, Rodrigo D.
2 Fan, Jinjun
2 Faou, Erwan
2 Fernandes da Fonseca, Alexander
2 Fokou Kenfack, Wilson
2 Freire Macías, Emilio
2 Gelfreich, Vassili
2 Glendinning, Paul Alexander
2 Gomide, Otávio M. L.
2 Gonçalves, Luiz Fernando
2 Grellier, Sandrine
2 Hogan, S. John
2 Kang, Baolin
2 Kofané, Timoléon Crépin
2 Kristiansen, Kristian Uldall
2 Li, Liping
2 Liang, Feng
2 Liu, Bing
2 Liu, Xia
2 Llibre, Jaume
2 Luque, Alejandro
2 Mello, Luis Fernando O.
2 Miranda Martins, Ricardo
2 Pagano, Daniel Juan
2 Peralta-Salas, Daniel
2 Procesi, Claudio
2 Shi, Xiaotao
2 Si, Jianguo
2 Siewe Siewe, Martin
2 Simó, Carles
2 Tan, Xuewen
2 Tang, Yilei
2 Teixeira, Marco Antonto
2 Tzvetkov, Nikolay
2 Verduzco, Fernando
2 Visciglia, Nicola
2 Wang, Aili
2 Wang, Jiafu
2 Wilson, Bobby
2 Xiao, Yanni
2 Xie, Jianhua
2 Xue, Shan
2 Zeli, Iris O.
1 Aguareles, Maria
1 Alvarez-Ramírez, Martha
1 Andrade, K. da S.
1 Arango, Iván
1 Baldi, Pietro
1 Beaugé, Cristián
1 Biasco, Luca
1 Bizoń, Piotr
1 Bonet, Carles
1 Bounemoura, Abed
1 Brandão Dias, Lúcia
1 Broer, Henk W.
1 Calleja, Renato C.
1 Cardoso, João Lopes
...and 140 more Authors
all top 5

Cited in 65 Serials

21 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
14 Journal of Differential Equations
10 Communications in Mathematical Physics
7 Discrete and Continuous Dynamical Systems
6 Journal of Mathematical Analysis and Applications
6 Nonlinearity
6 Journal of Nonlinear Science
5 Chaos, Solitons and Fractals
5 Journal of Dynamics and Differential Equations
5 Chaos
5 SIAM Journal on Applied Dynamical Systems
4 Qualitative Theory of Dynamical Systems
3 Archive for Rational Mechanics and Analysis
3 Physica D
3 SIAM Journal on Mathematical Analysis
3 Nonlinear Dynamics
3 Regular and Chaotic Dynamics
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Dynamical and Control Systems
2 Physics Letters. A
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Advances in Mathematics
2 Duke Mathematical Journal
2 Mathematics and Computers in Simulation
2 Mathematische Zeitschrift
2 European Journal of Applied Mathematics
2 Communications in Partial Differential Equations
2 SIAM Review
2 Celestial Mechanics and Dynamical Astronomy
2 Mathematical Problems in Engineering
2 Journal of the European Mathematical Society (JEMS)
1 Communications on Pure and Applied Mathematics
1 Journal of the Franklin Institute
1 Applied Mathematics and Computation
1 Inventiones Mathematicae
1 Journal of Functional Analysis
1 Memoirs of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Acta Applicandae Mathematicae
1 Journal 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 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 Indagationes Mathematicae. New Series
1 Experimental Mathematics
1 Journal of Mathematical Sciences (New York)
1 Bulletin des Sciences Mathématiques
1 Complexity
1 Taiwanese Journal of Mathematics
1 Nonlinear Analysis. Real World Applications
1 Dynamical Systems
1 Discrete and Continuous Dynamical Systems. Series B
1 Entropy
1 Communications on Pure and Applied Analysis
1 Mathematical Biosciences and Engineering
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Biological Dynamics
1 Nonlinear Analysis. Hybrid Systems
1 Analysis & PDE
1 Advances in Mathematical Physics
1 Forum of Mathematics, Pi
1 Annals of PDE
1 Séminaire Laurent Schwartz. EDP et Applications
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Bollettino dell’Unione Matematica Italiana

Citations by Year