Organisation profile
Organisation profile
The group has an interuniversity structure located at UAB, UdG, and URV. We have a common interest in understanding natural phenomena and how we can use dynamical systems to understand and describe them. We use distinct mathematical techniques to study the different models. They come from continuous and discrete analysis, theoretical and practical analysis, and using finite or infinite dimensional models. We use indistinctly ordinary or partial differential equations, and the analytical tools are used together with numerical and statistical analysis.
The modelization coming from engineering, biology, medicine, and other fields is in our base of analysis. The study of the distinct periodical structure and its stability is another constant in our development. We are working in six research lines: Qualitative theory of differential equations, discrete dynamical systems, complex networks, celestial mechanics, population dynamics and epidemics, and medical models.
Directed by:
Joan Torregrosa Arús
Research lines
- Research lines:
- Teoría Qualitativa d'Equacions Diferencials
- Dinàmica discreta
- Mecànica Celeste
- Xarxes complexes
- Dinàmica de Poblacions
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Collaborations and top research areas from the last five years
Profiles
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Sistemas dinámicos contínuos y discretos: bifurcaciones, orbitas periódicas, integrabilidad y aplicaciones
Torregrosa i Arús, J. (Principal Investigator), Cima Mollet, A. M. (Investigator), Gasull Embid, A. (Investigator), Cors Iglesias, J. M. (Investigator), Mañosa Fernández, V. (Investigator), Artes Ferragud, J. C. (Investigator), Llibre Salo, J. (Investigator), Corbera Subirana, M. (Investigator), Pantazi ., C. (Investigator), Garrido Pelaez, J. M. (Collaborator), Mañosas Capellades, F. (Collaborator), Jimenez Ruiz, J. J. (Collaborator), Mayayo Cortasa, T. (Collaborator) & Villadelprat Yague, J. (Investigator)
1/09/23 → 31/08/26
Project: Research Projects and Other Grants
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SISTEMAS DINAMICOS DISCRETOS Y CONTINUOS ORIENTADOS A LA MODELIZACION Y LAS APLICACIONES
Alseda Soler, L. (Principal Investigator), Borros Cullell, S. (Collaborator), FERNANDEZ MORA, A. (Collaborator), Juher Barrot, D. (Investigator), Mañosas Capellades, F. (Investigator), Mondelo Gonzalez, J. M. (Investigator), Rojas Perez, D. (Investigator) & Jorba Cuscó, M. (Collaborator)
1/09/21 → 31/08/24
Project: Research Projects and Other Grants
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STUDY OF CONTINUOUS AND DISCRETE DYNAMIC SYSTEMS WITH EMPHASIS ON THEIR BIFURCATIONS, PERIODIC ORBITS AND INTEGRABILITY
Llibre Salo, J. (Principal Investigator), Torregrosa i Arús, J. (Co-Investigador/a Principal), Cufi Cabre, C. (Collaborator), Carvalho, Y. R. (Collaborator), Cousillas, G. (Collaborator), Diz Pita, É. (Collaborator), Ferragut Amengual, A. M. (Collaborator), GOUVEIA, L. F. D. S. (Collaborator), Iván Sánchez Sánchez (Collaborator), Jiménez Ruíz, J. J. (Collaborator), RODERO, A. L. (Collaborator), Ramírez, V. (Collaborator), Artes Ferragud, J. C. (Investigator), Caubergh , M. M. (Investigator), Cima Mollet, A. M. (Investigator), Corbera Subirana, M. (Investigator), Cors Iglesias, J. M. (Investigator), Gasull Embid, A. (Investigator), Pantazi ., C. (Investigator), Soler Villanueva, J. (Investigator), Garrido Pelaez, J. M. (Collaborator) & Valls Anglés, C. (Collaborator)
1/06/20 → 29/02/24
Project: Research Projects and Other Grants
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A new sufficient condition in order that the real Jacobian conjecture in R2 holds
Domingues, M., Llibre, J. & Mello, L. F., 15 Mar 2026, In: Journal of Differential Equations. 457, 8 p., 114068.Research output: Contribution to journal › Article › Research › peer-review
Open Access -
Integrability and periodic orbits of a 3D jerk system with two quadratic nonlinearities
Álvarez Ramírez, M., Garcia Saldaña, J. D. & Llibre, J., Apr 2026, In: Nonlinear Analysis: Real World Applications. 88, 6 p., 104491.Research output: Contribution to journal › Article › Research › peer-review
Open Access1 Link opens in a new tab Citation (Scopus) -
Limit cycles in piecewise quadratic Kolmogorov systems
Da Cruz, L. P. C., Oliveira, R. & Torregrosa, J., Jan 2026, In: Communications in Nonlinear Science and Numerical Simulation. 152, C, 16 p., 109285.Research output: Contribution to journal › Article › Research › peer-review
Open Access
Datasets
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Data from: Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis
Nurtay, A. (Contributor), Hennessy, M. G. (Contributor), Sardanyés, J. (Contributor), Alsedà, L. (Contributor) & Elena, S. F. (Contributor), Zenodo, 29 Nov 2018
DOI: 10.5061/dryad.56g7v08, https://zenodo.org/record/5015216
Dataset
Student theses
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Center Problem for 3-Monomial Systems Using Parallelization
Saleta, O. (Author), Torregrosa i Arús, J. (Director), 15 Jul 2016Student thesis: Dissertation (TFM)
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Coexistencia de ciclos límite para un centro lineal con puntos singulares
Pérez-González, S. (Author), Torregrosa i Arús, J. (Director), 15 Jul 2008Student thesis: Dissertation (TFM)
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Structural stability, centers and limit cycles for smooth and nonsmooth tridimensional vector fields with invariant bidimensional spheres
RODERO, A. L. (Author), Torregrosa i Arús, J. (Co-director) & Buzzi, C. A. (Co-director), 3 Feb 2022Student thesis: Doctoral thesis