×

Ramírez-Ros, Rafael

Compute Distance To:
Author ID: ramirez-ros.rafael Recent zbMATH articles by "Ramírez-Ros, Rafael"
Published as: Ramírez-Ros, Rafael; Ramírez-Ros, R.
External Links: ORCID
Documents Indexed: 25 Publications since 1995
Co-Authors: 16 Co-Authors with 22 Joint Publications
273 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

20 Publications have been cited 161 times in 104 Documents Cited by Year
Poincaré-Melnikov-Arnold method for analytic planar maps. Zbl 0887.58029
Delshams, Amadeu; Ramírez-Ros, Rafael
28
1996
Effective reducibility of quasi-periodic linear equations close to constant coefficients. Zbl 0866.34032
Jorba, Àngel; Ramírez-Ros, Rafael; Villanueva, Jordi
20
1997
Melnikov potential for exact symplectic maps. Zbl 0892.58030
Delshams, Amadeu; Ramírez-Ros, Rafael
17
1997
Exponentially small splitting of separatrices for perturbed integrable standard-like maps. Zbl 0904.58050
Delshams, A.; Ramírez-Ros, R.
16
1998
Break-up of resonant invariant curves in billiards and dual billiards associated to perturbed circular tables. Zbl 1099.37027
Ramírez-Ros, Rafael
11
2006
Homoclinic billiard orbits inside symmetrically perturbed ellipsoids. Zbl 1067.37079
Delshams, Amadeu; Fedorov, Yuri; Ramírez-Ros, Rafael
9
2001
Non-persistence of resonant caustics in perturbed elliptic billiards. Zbl 1408.37065
Pinto-De-Carvalho, Sônia; Ramírez-Ros, Rafael
9
2013
Singular separatrix splitting and the Melnikov method: An experimental study. Zbl 0932.37012
Delshams, Amadeu; Ramírez-Ros, Rafael
7
1999
The billiard inside an ellipse deformed by the curvature flow. Zbl 1368.37048
Damasceno, Josué; Dias Carneiro, Mario J.; Ramírez-Ros, Rafael
6
2017
The frequency map for billiards inside ellipsoids. Zbl 1218.37073
Casas, Pablo S.; Ramírez-Ros, Rafael
6
2011
On Cayley conditions for billiards inside ellipsoids. Zbl 1317.37063
Ramírez-Ros, Rafael
5
2014
Canonical Melnikov theory for diffeomorphisms. Zbl 1133.37026
Lomelí, Héctor E.; Meiss, James D.; Ramírez-Ros, Rafael
5
2008
Persistence of homoclinic orbits for billiards and twist maps. Zbl 1055.37061
Bolotin, Sergey; Delshams, Amadeu; Ramírez-Ros, Rafael
4
2004
Exponentially small separatrix splittings and almost invisible homoclinic bifurcations in some billiard tables. Zbl 1152.37336
Ramírez-Ros, Rafael
4
2005
Separatrix splitting in 3D volume-preserving maps. Zbl 1172.34031
Lomelí, Héctor E.; Ramírez-Ros, Rafael
4
2008
On Birkhoff’s conjecture about convex billiards. Zbl 0911.58021
Delshams, A.; Ramírez-Ros, R.
3
1995
Exponentially small asymptotic formulas for the length spectrum in some billiard tables. Zbl 1360.37093
Martín, P.; Ramírez-Ros, R.; Tamarit-Sariol, A.
2
2016
Splitting of separatrices in Hamiltonian systems and symplectic maps. Zbl 1063.37539
Delshams, Amadeu; Ramírez-Ros, Rafael; Seara, Tere M.
2
1999
On the length and area spectrum of analytic convex domains. Zbl 1365.37038
Martín, Pau; Ramírez-Ros, Rafael; Tamarit-Sariol, Anna
2
2016
Classification of symmetric periodic trajectories in ellipsoidal billiards. Zbl 1331.37050
Casas, Pablo S.; Ramírez-Ros, Rafael
1
2012
The billiard inside an ellipse deformed by the curvature flow. Zbl 1368.37048
Damasceno, Josué; Dias Carneiro, Mario J.; Ramírez-Ros, Rafael
6
2017
Exponentially small asymptotic formulas for the length spectrum in some billiard tables. Zbl 1360.37093
Martín, P.; Ramírez-Ros, R.; Tamarit-Sariol, A.
2
2016
On the length and area spectrum of analytic convex domains. Zbl 1365.37038
Martín, Pau; Ramírez-Ros, Rafael; Tamarit-Sariol, Anna
2
2016
On Cayley conditions for billiards inside ellipsoids. Zbl 1317.37063
Ramírez-Ros, Rafael
5
2014
Non-persistence of resonant caustics in perturbed elliptic billiards. Zbl 1408.37065
Pinto-De-Carvalho, Sônia; Ramírez-Ros, Rafael
9
2013
Classification of symmetric periodic trajectories in ellipsoidal billiards. Zbl 1331.37050
Casas, Pablo S.; Ramírez-Ros, Rafael
1
2012
The frequency map for billiards inside ellipsoids. Zbl 1218.37073
Casas, Pablo S.; Ramírez-Ros, Rafael
6
2011
Canonical Melnikov theory for diffeomorphisms. Zbl 1133.37026
Lomelí, Héctor E.; Meiss, James D.; Ramírez-Ros, Rafael
5
2008
Separatrix splitting in 3D volume-preserving maps. Zbl 1172.34031
Lomelí, Héctor E.; Ramírez-Ros, Rafael
4
2008
Break-up of resonant invariant curves in billiards and dual billiards associated to perturbed circular tables. Zbl 1099.37027
Ramírez-Ros, Rafael
11
2006
Exponentially small separatrix splittings and almost invisible homoclinic bifurcations in some billiard tables. Zbl 1152.37336
Ramírez-Ros, Rafael
4
2005
Persistence of homoclinic orbits for billiards and twist maps. Zbl 1055.37061
Bolotin, Sergey; Delshams, Amadeu; Ramírez-Ros, Rafael
4
2004
Homoclinic billiard orbits inside symmetrically perturbed ellipsoids. Zbl 1067.37079
Delshams, Amadeu; Fedorov, Yuri; Ramírez-Ros, Rafael
9
2001
Singular separatrix splitting and the Melnikov method: An experimental study. Zbl 0932.37012
Delshams, Amadeu; Ramírez-Ros, Rafael
7
1999
Splitting of separatrices in Hamiltonian systems and symplectic maps. Zbl 1063.37539
Delshams, Amadeu; Ramírez-Ros, Rafael; Seara, Tere M.
2
1999
Exponentially small splitting of separatrices for perturbed integrable standard-like maps. Zbl 0904.58050
Delshams, A.; Ramírez-Ros, R.
16
1998
Effective reducibility of quasi-periodic linear equations close to constant coefficients. Zbl 0866.34032
Jorba, Àngel; Ramírez-Ros, Rafael; Villanueva, Jordi
20
1997
Melnikov potential for exact symplectic maps. Zbl 0892.58030
Delshams, Amadeu; Ramírez-Ros, Rafael
17
1997
Poincaré-Melnikov-Arnold method for analytic planar maps. Zbl 0887.58029
Delshams, Amadeu; Ramírez-Ros, Rafael
28
1996
On Birkhoff’s conjecture about convex billiards. Zbl 0911.58021
Delshams, A.; Ramírez-Ros, R.
3
1995
all top 5

Cited by 128 Authors

10 Delshams, Amadeu
10 Ramírez-Ros, Rafael
8 M-Seara, Tere
6 Kaloshin, Vadim Yu.
5 de la Llave, Rafael
5 Gutiérrez, Pere
5 Sorrentino, Alfonso
4 Gonchenko, Marina S.
4 Radnović, Milena
3 Baldomá, Inmaculada
3 Bialy, Misha
3 Capinski, Maciej J.
3 Dragović, Vladimir
3 Guardia, Marcel
3 Lomelí, Héctor E.
3 Luque, Alejandro
3 Meiss, James D.
3 Turaev, Dmitry V.
3 Villanueva, Jordi
2 Broer, Henk W.
2 Fontich, Ernest
2 Gelfreich, Vassili
2 Gidea, Marian
2 Hou, Xiyun
2 Huang, Guan
2 James, Guillaume
2 Liu, Lin
2 Martín, Pau
2 Mireles-James, Jason D.
2 Mironov, Andreĭ Evgen’evich
2 Net, Marta
2 Pinto de Carvalho, Sônia
2 Rom-Kedar, Vered
2 Shi, Yanling
2 Simó, Carles
2 Tamarit-Sariol, Anna
2 Treshchev, Dmitriĭ Valer’evich
2 Xu, Junxiang
2 Xue, Nina
2 Zgliczyński, Piotr
2 Zhao, Wencai
1 Adabrah, Anani Komla
1 Aguareles, Maria
1 Avila, Artur
1 Balasuriya, Sanjeeva
1 Bloch, Anthony Michael
1 Bountis, Tassos C.
1 Casas, Pablo S.
1 Castejón, Oriol
1 Chamberlin, Samuel
1 Cicogna, Giampaolo
1 Cima, Anna
1 Cresson, Jacky
1 Cuevas Maraver, Jesús
1 Damasceno, Josué
1 de Simoi, Jacopo
1 Dettmann, Carl P.
1 Dias Carneiro, Mario Jorge
1 Donato, Sidney
1 Donelan, Peter S.
1 Donnay, Victor J.
1 Dovbysh, Sergeĭ A.
1 Enciso, Alberto
1 Fain, Vitaly
1 Fassò, Francesco
1 Froeschlé, Claude
1 García-Naranjo, Luis C.
1 Gasull, Armengol
1 Giacobbe, Andrea
1 Gibson, Christopher George
1 Gimeno, Joan
1 Giralt, Mar
1 Glutsyuk, Alexey A.
1 Gonzalez, Jose Luis
1 Guzzo, Massimiliano
1 Hanßmann, Heinz
1 Hawes, W.
1 Hezari, Hamid
1 Huguet, Gemma
1 Ichtiaroglou, Simos
1 Jaffé, Charles
1 Jauslin, Hans-Rudolf
1 Jorba, Àngel
1 Kollmann, Michael
1 Kong, Yuedong
1 Kubyshin, Yuri A.
1 Larreal, O.
1 Lega, Elena
1 Lu, Xuezhu
1 Madsen, Tatiana K.
1 Mañosa, Víctor
1 Meletlidou, Efi
1 Mezić, Igor
1 Musser, Maxwell
1 Nicolás, Begoña
1 Noble, Pascal
1 Olivé, Carme
1 Olmedo, Estrella
1 Özgökmen, Tamay M.
1 Pacha, Juan Ramon
...and 28 more Authors
all top 5

Cited in 45 Serials

13 Physica D
7 Chaos
6 Journal of Differential Equations
5 Nonlinearity
5 Advances in Mathematics
5 Regular and Chaotic Dynamics
4 Journal of Nonlinear Science
4 SIAM Journal on Applied Dynamical Systems
3 Communications in Mathematical Physics
3 Celestial Mechanics and Dynamical Astronomy
3 Experimental Mathematics
3 Annals of Mathematics. Second Series
2 Reviews in Mathematical Physics
2 Ergodic Theory and Dynamical Systems
2 The Journal of Geometric Analysis
2 Journal of Mathematical Sciences (New York)
2 Discrete and Continuous Dynamical Systems
2 Acta Mathematica Sinica. English Series
2 Communications in Nonlinear Science and Numerical Simulation
2 Qualitative Theory of Dynamical Systems
2 Dynamical Systems
2 Journal of Function Spaces
1 Journal of Mathematical Physics
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Prikladnaya Matematika i Mekhanika
1 Applied Mathematics and Computation
1 Proceedings of the American Mathematical Society
1 Acta Applicandae Mathematicae
1 Geometric and Functional Analysis. GAFA
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Physics of Fluids
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of Difference Equations and Applications
1 Electronic Research Announcements of the American Mathematical Society
1 Nonlinear Dynamics
1 Journal of the European Mathematical Society (JEMS)
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Spectral Theory
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year