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Abstract
We provide the normal forms of all Z2-symmetric planar polynomial Hamiltonian systems of degree 3 having a nilpotent center at the origin. Furthermore, we complete the classification of the global phase portraits in the Poincaré disk of the above systems initiated by Dias, Llibre and Valls [9].
| Original language | English |
|---|---|
| Pages (from-to) | 1-29 |
| Number of pages | 29 |
| Journal | Electronic Journal of Differential Equations |
| Volume | 2019 |
| Publication status | Published - 1 Jan 2019 |
Keywords
- Nilpotent center
- Phase portrait
- Poincaré compactication
- Polynomial Hamiltonian systems
- Z-symmetric
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Dive into the research topics of 'Z2-Symmetric planar polynomial hamiltonian systems of degree 3 with nilpotent centers'. Together they form a unique fingerprint.Projects
- 2 Finished
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DYNAMICS: Contributions to codimension k bifurcations in dynamical systems theory (DYNAMICS)
Llibre Salo, J. (Principal Investigator), Artes Ferragud, J. C. (Investigator), Caubergh , M. M. (Investigator), Cima Mollet, A. M. (Investigator), Gasull Embid, A. (Investigator), Sanchez Sanchez, I. (Investigator), Torregrosa i Arús, J. (Principal Investigator 2) & Garrido Pelaez, J. M. (Investigator)
1/04/18 → 31/03/24
Project: International research project
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Algunos aspectos de la dinámica local y global de los sistemas dinámicos contínuos y discretos: Integrabilidad, Periodicidad y Bifurcaciones
Llibre Salo, J. (Principal Investigator), Torregrosa i Arús, J. (Principal Investigator 2), Buzzi, C. A. (Collaborator), Candido , M. R. (Collaborator), Carvalho, Y. R. (Collaborator), Caubergh , M. M. (Collaborator), Cornelio, J. L. (Collaborator), Cousillas, G. (Collaborator), Cufi Cabre, C. (Collaborator), Diz Pita, É. (Collaborator), Ferragut Amengual, A. M. (Collaborator), Ferragut Amengual, A. (Collaborator), Geyer, A. (Collaborator), Giacomini, H. J. (Collaborator), Gouveia, L. F. (Collaborator), Jiménez Ruíz, J. J. (Collaborator), Lembarki, F. (Collaborator), Martínez, Y. P. (Collaborator), Pérez González, S. (Collaborator), Ramírez, V. (Collaborator), Saleta Reig, O. (Collaborator), Sanchez Sanchez, I. (Collaborator), Santos, R. A. T. (Collaborator), Schlomiuk, D. (Collaborator), Valls Angles, C. (Collaborator), Vulpe, N. (Collaborator), Zhang, X. (Collaborator), da Cruz, L. P. C. (Collaborator), de Almedia Silva Menezes, L. (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)
Spanish Ministry of Economy and Competitiveness (MINECO)
30/12/16 → 31/12/20
Project: Research Projects and Other Grants