Papers
- Global bifurcation in a virus, defective genomes, satellite RNAs tripartite system: breakdown of a coexistence quasi-neutral curve
Oriol Llopis-Almela, J. Tomás Lázaro, Santiago F. Elena, and Josep Sardanyés.
Chaos, Solitons and Fractals, Vol. 192, 116037, 2025.
https://doi.org/10.1016/j.chaos.2025.116037
(arxiv) (UPCommons) (pdf)
- Quasineutral multistability in an epidemiological-like model for defective-helper betacoronavirus infection in cell cultures
Juan C. Muñoz-Sánchez, J. Tomás Lázaro, Julia Hillung, María J. Olmo-Uceda, Josep Sardanyés, and Santiago F. Elena.
Applied Mathematical Modelling, vol 137, part A, 2025, 115673
https://doi.org/10.1016/j.apm.2024.115673
(arXiv) (UPCommons) (pdf)
- No two without three: modelling dynamics of the trio RNA virus-defective interfering genomes-RNA satellite
J. Tomás Lázaro, Ariadna Albó, Tomás Alarcón, Santiago F. Elena, and Josep Sardanyés.
Commun Nonlinear Sci Numer Simulat (CNSNS) 133 (107987), 2024.
https://doi.org/10.1016/j.cnsns.2024.107987 (arXiv) (UPCommons) (pdf)
- Semiclassical quantification of some two degree of freedom potentials: a Differential Galois approach.
Primitivo Acosta-Humánez, J. Tomás Lázaro, Juan J. Morales-Ruiz and Chara Pantazi.
Journal of Mathematical Physics, Vol 65, Issue 1, 2024
https://doi.org/10.1063/5.0169069 (arXiv) (UPCommons) (pdf)
- Semiclassical theory predicts stochastic ghosts scaling
J. Tomás Lázaro, Tomás Alarcón, Carlos Peña, and J. Sardanyés.
Proceedings of the Royal Society A, volume 479, issue 2273, May 2023.
https://doi.org/10.1098/rspa.2022.0621 (arXiv) (UPCommons) (pdf)
- Critical slowing down close to a global bifurcation of a curve of quasi-neutral equilibria
Ernest Fontich, Antoni Guillamon, J. Tomás Lázaro, Tomás Alarcón, Blai Vidiella, and J. Sardanyés.
Commun Nonlinear Sci Numer Simulat. (CNSNS), Volume 104, 106032, 2022.
https://doi.org/10.1016/j.cnsns.2021.106032 (UPCommons) (pdf)
- Dynamics in a time-discrete food-chain model with strong pressure on preys.
Lluís Alsedà, J.Tomás Lázaro, Ricard Solé, Blai Vidiella, and Josep Sardanyés.
Commun Nonlinear Sci Numer Simulat. (CNSNS), Volume 84, May 2020.
https://doi.org/10.1016/j.cnsns.2020.105187 (UPCommons) (pdf)
Movies appearing in the paper: movie1, movie2, movie3, movie4, movie5, movie6.
Supplementary material in https://doi.org/10.1016/j.cnsns.2020.105187
- Rational parametrisation approach in some dynamical systems problems.
Armengol Gasull, J. Tomás Lázaro and Joan Torregrosa
Qualitative Theory of Dynamical Systems, 18(2), 583-602, August 2019.
First online November 2018. https://doi.org/10.1007/s12346-018-0300-5 (UPCommons) (pdf)
- Viral replication modes in single-peak fitness landscapes: a dynamical systems analysis.
Joan Fornés, J. Tomás Lázaro, Tomás Alarcón, Santiago F. Elena and Josep Sardanyés
Journal of Theoretical Biology. Volume 460, pages 170-183, 2019.
https://doi.org/10.1016/j.jtbi.2018.10.007 (UPCommons) (pdf)
- Mixed dynamics of two-dimensional reversible maps with a symmetric couple of quadratic homoclinic tangencies.
Amadeu Delshams, Sergey V. Gonchenko, Marina S. Gonchenko, and J. Tomás Lázaro
Discrete & Continuous Dynamical Systems A. Vol. 38, number 9, 4483-4507, 2018
https://doi.org/10.3934/dcds.2018196 (UPCommons) (pdf)
- Differential Galois Theory and non-Integrability of Planar Polynomial Vector Fields.
Primitivo Acosta-Humánez, J. Tomás Lázaro, Juan J. Morales-Ruiz and Chara Pantazi.
J. Differential Equations, Volume 264, Issue 12, 7183-7212, 2018
https://doi.org/10.1016/j.jde.2018.02.016 (UPCommons) (pdf).
- Full analysis of small hypercycles with shortcircuits in prebiotic evolution.
Josep Sardanyés, J. Tomás Lázaro, Antoni Guillamon, and Ernest Fontich.
Physica D, volume 347, 90-108, 2017.
https://doi.org/10.1016/j.physd.2016.12.004 (UPCommons) (pdf)
- Dynamics and bifurcations in a simple quasispecies model of tumorigenesis.
Vanessa Castillo, J. Tomás Lázaro, and Josep Sardanyés.
Computational and Applied Mathematics. March 2017, Volume 36, Issue 1, pp 415-431.
https://doi.org/10.1007/s40314-015-0234-3 (UPCommons) (pdf)
- On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory.
Primitivo Acosta-Humánez, J. Tomás Lázaro, Juan J. Morales-Ruiz and Chara Pantazi.
Discrete and Continuous Dynamical Systems - A, vol 35, number 5, 1767-1800, 2015.
https://doi.org/10.3934/dcds.2015.35.1767 (UPCommons) (pdf)
- Abundance of attracting, repelling and elliptic periodic orbits in
two-dimensional reversible maps
Amadeu Delshams, Sergey V. Gonchenko, Vladimir S. Gonchenko, J.Tomás Lázaro, and Oleg Sten'kin. Nonlinearity, 26, 1-33, 2013.
https://doi.org/10.1088/0951-7715/26/1/1 (UPCommons) (pdf)
- Upper bounds for the number of zeroes for some Abelian Integrals.
Armengol Gasull, J. Tomás Lázaro and Joan Torregrosa.
Nonlinear Analysis Series A: Theory, Methods & Appl. 75, 5169-5179, 2012.
https://doi.org/10.1016/j.na.2012.04.033 (UPCommons) (pdf)
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On the Chebyshev property for a new family of functions
Armengol Gasull, J. Tomás Lázaro and Joan Torregrosa.
J. Math. Anal. Appl. 387, 631-644, 2012.
https://doi.org/10.1016/j.jmaa.2011.09.019 (UPCcommons) (pdf)
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Some words about the application of Tchebycheff systems to weak Hilbert's 16th problem
J. Tomás Lázaro
Differential Algebra, Complex Analysis and Orthogonal Polynomials. Contemporary Mathematics, vol. 509, Amer. Math. Soc., pp. 119-128, 2010.
https://doi.org/10.1090/conm/509 (pdf)
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Pseudo-normal form near saddle-center or saddle-focus equilibria
Amadeu Delshams and J. Tomás Lázaro
J. Differential Equations, 208 (2):312-343, 2005. https://doi.org/10.1016/j.jde.2004.04.007 (pdf)
- A pseudo-normal form for planar vector fields
Amadeu Delshams, Antoni Guillamon and J. Tomás Lázaro
Qual. Theory Dyn. Syst., 3(1):51-82. 2002. https://doi.org/10.1007/BF02969333 (pdf)
Book chapters
- On Dynamics and Invariant Sets in Predator-Prey Maps
Blai Vidiella, J. Tomás Lázaro, Lluís Alsedà, and Josep Sardanyés
IntechOpen, November 2019. https://doi.org/10.5772/intechopen.89572, (pdf)
Movies which appear in the paper: movie1, movie2, movie3.
MicroPublications
- Decay of HCoV-OC43 infectivity is lower in cell debris-containing media than in fresh culture media.
Hillung, J; Lázaro, JT; Muñoz-Sánchez, JC; Olmo-Uceda, MJ; Sardanyés, J; Elena, SF. MicroPublication Biology, 2024. https://doi.org/10.17912/micropub.biology.001092
(UPCommons) (pdf)
Editor
- Extended Abstracts Spring 2018
Singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications.
A. Korobeinikov, M. Caubergh, J.T. Lázaro, and J. Sardanyés
Trends in Mathematics. Research Perspectives CRM Barcelona, volume 11, Birkhäuser, 2018. ISSN 2297-0215. ISBN 978-3-030-25260-1. doi.org/10.10007/978-3-030-25261-8.
- An introduction to piecewise smooth dynamics
Mike Jeffrey and Paul Glendinning
Editors: Elena Bossolini, J. Tomás Lázaro, and Josep M. Olm
Advanced courses in Mathematics CRM Barcelona, Springer, 2019. ISSN 2297-0215. ISBN 978-3-030-23688-5. ISBN (eBook): 978-3-030-23689-2.
https://doi.org/10.1007/978-3-030-23689-2.
- Extended Abstracts Spring 2016. Nonsmooth Dynamics (CRM)
Alessandro Colombo, Mike Jeffrey, J. Tomás Lázaro, and Josep M. Olm
Trends in Mathematics book series (TM, volume 8), Springer, 2017. ISSN 2297-0215. ISBN 978-3-319-55641-3. https://doi.org/10.1007/978-3-319-55642-0.
Books
- Métodos básicos de Cálculo Numérico.
J. Tomás Lázaro y Antoni Gomà.
Capítulo de Análisis matemático. Fundació per la Universitat Oberta de Catalunya (UOC), pp. 5-92. 84-9707-790-3, 2006. EURECA MEDIA SL. Pàgs.: 183 - 279. ISBN: 84-9707-790-3, 2006.
- Mètodes bàsics de Càlcul Numèric. (versió en català)
J. Tomás Lázaro i Antoni Gomà.
Capítol de Anàlisi matemàtica. Fundació per la Universitat Oberta de Catalunya (UOC), pp. 5-95. B-9.312-2006, 2006. EURECA MEDIA S.L. Pàgs.: 183 - 277. ISBN: 8497884132, 2006.
- On Normal Forms and Splitting of separatrices in reversible systems.
Doctoral Thesis, Universitat Politècnica de Catalunya.
Available at https://www.tdx.cat/handle/10803/5837
161 pages, ISBN B-3477-2004/84-688-4741-0, 2003.
- Funcions de diverses variables. Curs bàsic.
J. Antonijuan, M. Claverol, J. Tomás Lázaro, R.M. Ros.
Aula Politècnica, vol. 37. Edicions UPC, Universitat Politècnica de Catalunya. Barcelona, ISBN 84–8301–413–0, 167 pàg., 2000.
- Funcions de diverses variables. Curs bàsic.
J. Antonijuan, M. Claverol, J. Tomás Lázaro, R.M. Ros.
Aula Teòrica, vol. 52. Edicions UPC, Universitat Politècnica de Catalunya. Barcelona, ISBN 84–8301–152–2, 147 pàg., 1996.
Proceedings
- Breathers in a model of a polymer with secondary structure
Michael Kastner and J. Tomás Lázaro.
Proceedings of the conference on "Localization and energy transfer in nonlinear systems", San Lorenzo de El Escorial, Madrid, Spain June 17-21, 2002, L. Vázquez, Robert S. MacKay, M.P. Zorzano eds., pág. 333-338, World Scientific, ISBN 981-238-296-8, 2003 (postscript).
- Pseudo-normal forms and their applications
Amadeu Delshams and J. Tomás Lázaro
Dario Bambusi, Giuseppe Gaeta and Mariano Cadoni, editors. Symmetry and perturbation theory. Proceedings of the 3rd International Conference (SPT 2001) held in Cala Gonone, May 6--13, 2001 World Scientific Publishing Co., Inc., River Edge, NJ, 2001. xii+246 pp. ISBN: 981-02-4793-1 (pdf)
- Effective stability in reversible systems
Amadeu Delshams and J. Tomás Lázaro
C. Simó, editor, Hamiltonian Systems with Three or More Degrees of Freedom, volume 533 of NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., pp. 453-457. Kluwer, Dordrecht, 1999. (UPCommons)
Last update April 2026.
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