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## Guardia, Marcel

Compute Distance To:
 Author ID: guardia.marcel Published as: Guardia, M.; Guardia, Marcel; Guàrdia, Marcel External Links: ORCID
 Documents Indexed: 19 Publications since 2010
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#### Co-Authors

 2 single-authored 9 M-Seara, Tere 5 Kaloshin, Vadim Yu. 3 Martín, Pau 2 Féjoz, Jacques 2 Haus, Emanuele 2 Procesi, Michela 2 Zhang, Jianlu 1 Baldomá, Inmaculada 1 Fontich, Ernest 1 Gomide, Otávio M. L. 1 Hani, Zaher 1 Hogan, S. John 1 Maspero, Alberto 1 Olivé, Carme 1 Roldán, Pablo 1 Sabbagh, Lara 1 Teixeira, Marco Antonio
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#### Serials

 3 Journal of Differential Equations 3 Journal of the European Mathematical Society (JEMS) 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Discrete and Continuous Dynamical Systems 1 Nonlinearity 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal of Nonlinear Science 1 SIAM Journal on Applied Dynamical Systems

#### Fields

 11 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of particles and systems (70-XX) 6 Partial differential equations (35-XX) 5 Ordinary differential equations (34-XX)

#### 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.
2011
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation. Zbl 1311.35284
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.
2010
Growth of Sobolev norms for the analytic NLS on $$\mathbb{T}^2$$. Zbl 1353.35260
Guardia, M.; Haus, E.; Procesi, M.
2016
Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results. Zbl 1271.34050
Baldomá, Inmaculada; Fontich, Ernest; Guardia, Marcel; Seara, Tere M.
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
2016
Oscillatory motions for the restricted planar circular three body problem. Zbl 1398.70030
Guardia, Marcel; Martín, Pau; Seara, Tere M.
2016
Growth of Sobolev norms in the cubic nonlinear Schrödinger equation with a convolution potential. Zbl 1296.35169
Guardia, Marcel
2014
Exponentially small splitting for the pendulum: A classical problem revisited. Zbl 1219.34001
Guardia, Marcel; Olivé, Carme; Seara, Tere M.
2010
Oscillatory orbits in the restricted elliptic planar three body problem. Zbl 1404.70029
Guardia, Marcel; Seara, Tere M.; Martín, Pau; Sabbagh, Lara
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.
2012
Erratum to: “Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation”. Zbl 1433.35364
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
2016
Secular instability in the three-body problem. Zbl 1382.70007
Féjoz, J.; Guardia, M.
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
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
2019
Asymptotic density of collision orbits in the restricted circular planar 3 body problem. Zbl 07061537
Guardia, Marcel; Kaloshin, Vadim; Zhang, Jianlu
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.
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
2019
Asymptotic density of collision orbits in the restricted circular planar 3 body problem. Zbl 07061537
Guardia, Marcel; Kaloshin, Vadim; Zhang, Jianlu
2019
Oscillatory orbits in the restricted elliptic planar three body problem. Zbl 1404.70029
Guardia, Marcel; Seara, Tere M.; Martín, Pau; Sabbagh, Lara
2017
Erratum to: “Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation”. Zbl 1433.35364
2017
Growth of Sobolev norms for the analytic NLS on $$\mathbb{T}^2$$. Zbl 1353.35260
Guardia, M.; Haus, E.; Procesi, M.
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
2016
Oscillatory motions for the restricted planar circular three body problem. Zbl 1398.70030
Guardia, Marcel; Martín, Pau; Seara, Tere M.
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
2016
Secular instability in the three-body problem. Zbl 1382.70007
Féjoz, J.; Guardia, M.
2016
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation. Zbl 1311.35284
2015
Growth of Sobolev norms in the cubic nonlinear Schrödinger equation with a convolution potential. Zbl 1296.35169
Guardia, Marcel
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
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.
2013
Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results. Zbl 1271.34050
Baldomá, Inmaculada; Fontich, Ernest; Guardia, Marcel; Seara, Tere M.
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.
2012
Generic bifurcations of low codimension of planar Filippov systems. Zbl 1225.34046
Guardia, M.; Seara, T. M.; Teixeira, M. A.
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.
2010
Exponentially small splitting for the pendulum: A classical problem revisited. Zbl 1219.34001
Guardia, Marcel; Olivé, Carme; Seara, Tere M.
2010
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#### 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
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#### 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
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#### Cited in 25 Fields

 93 Dynamical systems and ergodic theory (37-XX) 91 Ordinary differential equations (34-XX) 36 Partial differential equations (35-XX) 31 Mechanics of particles and systems (70-XX) 12 Biology and other natural sciences (92-XX) 3 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)