merce webpage

Llibres d'apunts i manuals

Tesi Doctoral: Solucions periodiques de segona especie en el Problema Restringit de Tres Cossos, 170 pag., Octubre 1989, Barcelona

Calcul numeric
C. Bonet, A. Jorba, M.T. Martinez-Seara, J. Masdemont, M.Olle, A. Susin, M. Valencia

Calcul integral per a enginyers
C. Bonet, A. Compta, N. Consul, M. Olle, P. Pascual, A. Roig, C. Bonet, A. Jorba, M.T. Martinez-Seara, J. Masdemont, M.Olle, A. Susin, M. Valencia
Setembre 2005, Edicions UPC, ISBN 8483016273

Càlcul Numèric.
Manual de Pràctiques. 3r curs del grau de Matemàtiques.
Facultat de Matemàtiques i Estadística (UPC). Manual

Papers

A note on the Elliptic Restricted three-body problem
G. Gomez, M. Olle
Celestial Mechanics, 39, 33--55. May 1986

Second species solutions in the Circular and Elliptic Restricted three body problem I: Existence and asymptotic approximation
G. Gomez, M. Olle
Celestial Mechanics and Dynam. Astron., 52, pp. 107-146. July 1991

Second species solutions in the Circular and Elliptic Restricted three body problem II: Numerical explorations.
G. Gomez, M. Olle
Celestial Mechanics and Dynam. Astron., 52, pp. 147-166, July 1991

On the families of periodic orbits which bifurcate from the circular Sitnikov motions.
E. Belbruno, J. Llibre, M. Olle
Celestial Mechanics and Dynam. Astron., 60, pp 99-129. Sept. 1994

[9802OllP] Vertical orbital structure around the Lagrangian points in barred galaxies
M. Olle, D. Pfenniger
Astronomy & Astrophysics, Vol. 334, pp. 829--839, 1998.
pdf file

[9912OllP] The 3D Elliptic Restricted Three-Body Problem: Periodic Orbits which Bifurcate from Limiting Restricted Problems
M. Olle, J. R. Pacha
Astronomy & Astrophysics, Vol. 351, pp. 1149-1164, 1999
pdf file

[0106LliO] The motion of Saturn coorbital satellites in the Restricted Three-Body Problem
J. Llibre, M. Olle
Astronomy & Astrophysics, Vol. 378, p.1087-1099 (2001)
pdf file

[0305JorO] Invariant curves near Hamiltonian-Hopf bifurcations of 4D symplectic maps
A. Jorba, M. Olle
Nonlinearity, vol. 17, 691--710, January 2004
zip file

[0309OllPV] Dynamics close to a non semi-simple 1: -1 resonant periodic orbit
M. Olle, J. R. Pacha, J. Villanueva
Discrete and continuous dynamical systems-B, Vol 5, N. 3, 799--818, August 2005
pdf file

[030401OllPV] Motion Close to the Hopf Bifurcation of the Vertical Family of Periodic Orbits of L4
M. Olle, J. R. Pacha, J. Villanueva
Celestial mechanics and Dynamical Astronomy, vol 90, 89--109, 2004
pdf file

[030404CorLlO] Central configurations of the planar coorbital satellite problem
J. M. Cors, J. Llibre, M. Olle
Celestial mechanics and Dynamical Astronomy, vol 89, 319--342, October 2004
pdf file

[030416OllPV] Quantitative estimates on the normal form around a non semi-simple 1:-1 resonant periodic orbit
M. Olle, J. R. Pacha, J. Villanueva
Nonlinearity, vol. 18, 1141--1172, February 2005
pdf file

[050608BarO] Invariant manifolds of $L_3$ and horseshoe motion in the restricted three-body problem
E. Barrabes, M. Olle
Nonlinearity, Vol. 19, 2065--2089, October 2006
pdf file

[pub0801BarrMO] Numerical parametrizations of Libration point trajectories and their invariant manifolds
E. Barrabes, J. M. Mondelo, M. Olle
Advances in the Astronautical Sciences Volume 129, Pages 1153-1168 (June 2008), ISSN: 0065-3438

[pub0801OllPV] Kolmogorov-Arnold-Moser aspects of the periodic Hamiltonian Hopf bifurcation
M. Olle, J. R. Pacha, J. Villanueva
Nonlinearity , vol 21, n.8, (January 2008), pp. 1759-1811. ISSN: 0951-7715
pdf file

[pub0901BarMO] Numerical continuation of families of homoclinic connections of periodic orbits in the RTBP
E. Barrabes, J. M. Mondelo, M. Olle
Nonlinearity 22, (12):2009, pp. 2901--2918, December 2009. ISSN 0951-7715
pdf file

[pub0902BarMO] Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP
E. Barrabes, J. M. Mondelo, M. Olle
Celest. Mech. Dyn. Astr. 105, (1-3):2009, pp. 197--210, November 2009. ISSN: 0923-2958
pdf file

[pub1001CasMVMBO] Two classes of cycler trajectories in the Earth-Moon
J. Casoliva, J.M. Mondelo, B. F. Villac, K. D. Mease, E. Barrabes, M. Olle
J. of Guidance, Control and Dynamics, A. Vol. 33, No 5. pp 1623--1640, (2010)

[pub1201BarOBFM] Phase space structure of the hydrogen atom in a circularly polarized microwave field
E. Barrabes, M. Olle, F. Borondo, D. Farrelly, J.M. Mondelo
Physica D: Nonlinear phenomena. Vol. 241, n.4 pp. 333--349, feb.2012.
pdf file

[pub1301BarMO] Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system
E. Barrabes, J. M. Mondelo, M. Olle
Nonlinearity, pp. 2747-2765, vol 26, n.10, 10/2013, ISSN: 0951-7715. DOI: 10.1088/0951-7715/26/10/2747
pdf file

Dynamics of the parabolic restricted three-body problem
E. Barrabes, J. M. Cors, M. Olle
Communications in Nonlinear Science and Numerical Simulation. A, 29, 400 - 415. June, 2015
pdf file
http://dx.doi.org/10.1016/j.cnsns.2015.05.025. United Kingdom.

Pseudo-heteroclinic connections between bicircular restricted four-body problems
E. Barrabes, G. Gomez, J.M. Mondelo, M. Olle
Monthly Notices of the Royal Astronomical Society, 462, 740-750. October, 2016
pdf file
https://dx.doi.org/10.1093/mnras/stw1662

To and fro motion for the hydrogen atom in a circularly polarized microwave field
M. Olle
Communications in Nonlinear Science and Numerical Simulation, 54, 286-301. June 2017
pdf file
http://dx.doi.org/10.1016/j.cnsns.2017.05.026

Ejection-collision orbits in the RTBP
M. Olle, O. Rodriguez, J. Soler
Communications in Nonlinear Science and Numerical Simulation, 55, 298-315. 2017
pdf file
http://dx.doi.org/10.1016/j.cnsns.2017.07.013

Tails and bridges in the parabolic restricted three-body problem
E. Barrabes, J. M. Cors, L. Garcia, M. Olle
Monthly Notices of the Royal Astronomical Society, 472(3), 2554-2568. 2017
pdf file
doi_10.1093/mnras/stx 1990

Hopf bifurcation for the hydrogen atom in a circularly polarized microwave field
M. Olle, J. R. Pacha
Communications in Nonlinear Science and Numerical Simulation, 62, 27-60. 2018
pdf file
https://doi.org/10.1016/j.cnsns.2018.02.005

How does the Hopf bifrucation appear in a circularly polarized (CP) microwave field?
M. Olle, J. R. Pacha
Singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications. 2018. Trends in Mathematics, research perspectives CRM Barcelona, 11 pages. 2018
Communications in Nonlinear Science and Numerical Simulation, 62, 27-60. 2018 pdf file
https://doi.org/10.1007/978-3-030-25261-8_35

Ejection-collision orbits in the symmetric collinear four-body problem
M. Alvarez-Ramirez, E. Barrabes, M. Medina, M. Olle
Communications in Nonlinear Science and Numerical Simulation, 72, 82-100. 2018
pdf file
https://doi.org/10.1016/j.cnsns.2018.10.026

Dinamica de varietats espacials: les autopistes de l’univers
E. Barrabes, M. Olle
Butlleti de la Societat Catalana de Matematiques, 34, 97-123. 2019
pdf file
DOI: 10.2436/20.2002.01.87

Regularisation in ejection-collision orbits of the RTBP
M. Olle, O. Rodriguez, J. Soler
Recent Advances in Pure and Applied Mathematics, RSME Springer Series special issue 4, F. Ortegon, J. I. Garcia (Eds), 35-48. 2020
pdf file
https://doi.org/10.1007/978-3-030-41321-7

Analytical and numerical results on families of n -ejection-collision orbits in the RTBP
M. Olle, O. Rodriguez, J. Soler
Communications in Nonlinear Science and Numerical Simulation, 90 (105294),1-27 (versio electronica)
pdf file
https://doi.org/10.1016/j.cnsns.2020.105294

Transit regions and ejection/collision orbits in the RTBP
M. Olle, O. Rodriguez, J. Soler
Communications in Nonlinear Science and Numerical Simulation, 94 (105550), 1-29, 2021
pdf file
https://www.sciencedirect.com/science/article/abs/pii/S1007570420303804

Ejection–Collision Orbits in Two Degrees of Freedom Problems in Celestial Mechanics
M. Alvarez-Ramirez, E. Barrabes, M. Medina, M. Olle
J. Nonlinear Science, 31:68, 1--33, 2021
pdf file
https://doi.org/10.1007/s00332-021-09721-5

Generalised analytical results on n-ejection–collision orbits in the RTBP. Analysis of bifurcations.
T. M-Seara, M. Olle, O. Rodriguez, J. Soler
J. Nonlinear Science, 33:17, 1--53, 2023
pdf file
https://doi.org/10.1007/s00332-022-09873-y

On the collision dynamics in a molecular model
E. Barrabes, M. Olle, O. Rodriguez
Physica D, 460, 134033, 1--31, 2024
pdf file
https://doi.org/10.1016/j.physd.2023.134033

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