The Hamiltonian structure of normal forms for elliptic equilibria of reversible vector fields in 4D and 6D

• Grant number: 07/05215-4
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2008
• End date: February 28, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marco Antônio Teixeira
• Grantee: Ricardo Miranda Martins
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Scientific publications

(8)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GRAMA, LINO; MARTINS, RICARDO MIRANDA. The Ricci flow of left-invariant metrics on full flag manifold SU(3)/T from a dynamical systems point of view. BULLETIN DES SCIENCES MATHEMATIQUES, v. 133, n. 5, p. 463-469, JUL 2009. (07/05215-4)

GRAMA, LINO; MARTINS, RICARDO MIRANDA. Global behavior of the Ricci flow on generalized flag manifolds with two isotropy summands. INDAGATIONES MATHEMATICAE-NEW SERIES, v. 23, n. 1-2, p. 95-104, MAR 2012. (07/05215-4, 10/17034-7)

MARTINS, RICARDO MIRANDA. FORMAL EQUIVALENCE BETWEEN NORMAL FORMS OF REVERSIBLE AND HAMILTONIAN DYNAMICAL SYSTEMS. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 13, n. 2, p. 703-713, MAR 2014. (10/13371-9, 07/05215-4)

LLIBRE, JAUME; MARTINS, RICARDO MIRANDA; TEIXEIRA, MARCO ANTONIO. Periodic orbits, invariant tori, and cylinders of Hamiltonian systems near integrable ones having a return map equal to the identity. Journal of Mathematical Physics, v. 51, n. 8, AUG 2010. (07/06896-5, 07/05215-4)

MARTINS, RICARDO MIRANDA; TEIXEIRA, MARCO ANTONIO. MINIMAL SETS IN DOUBLE-PERTURBED DIFFERENTIAL EQUATIONS. HOUSTON JOURNAL OF MATHEMATICS, v. 41, n. 2, p. 491-512, 2015. (07/05215-4, 07/06896-5)

MARTINS, RICARDO MIRANDA; TEIXEIRA, MARCO ANTONIO. ON THE SIMILARITY OF HAMILTONIAN AND REVERSIBLE VECTOR FIELDS IN 4D. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 10, n. 4, p. 1257-1266, JUL 2011. (07/06896-5, 07/05215-4)

TEIXEIRA, MARCO A.; MARTINS, RICARDO M.. Reversible-equivariant systems and matricial equations. Anais da Academia Brasileira de Ciências, v. 83, n. 2, p. 375-390, JUN 2011. (07/06896-5, 07/05215-4)

LLIBRE, JAUME; MARTINS, RICARDO MIRANDA; TEIXEIRA, MARCO ANTONIO. ON THE BIRTH OF MINIMAL SETS FOR PERTURBED REVERSIBLE VECTOR FIELDS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 31, n. 3, p. 763-777, NOV 2011. (07/05215-4, 07/06896-5)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

MARTINS, Ricardo Miranda. Differential equations: reversibility and bifurcations. 2011. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.