Produção científica (Scientific production)

Produção científica (Publications and Preprints)

Castelani, E.V.; Cossich, J.A.N; Santana, A.J.; Viscovini, E.C.

Invariant cones for actions of semigroups in Sl(d, ℝ) and controllability of bilinear control systems. Linear and Multilinear Algebra 73 (16), (2025), 3573-3591.

Colonius, F.; Santana, A.J.  Chain recurrence and Selgrade’s theorem for affine flows.

Journal of Dynamics and Differential Equations 37 (2), (2025), 1355-1382.

Colonius, F.; Santana, A.J. Strong chain control sets and affine control systems. J Differ Equ. 424, (2025), 760 - 791. 

Ayala, V.; Santana, A. J.; Stelmastchuk, S.N.; Verdi, M. A. Solutions of linear control systems on Lie groups. Open Math. 22, (2025) p.20240098.

Colonius, F.; Santana, A.J.; Viscovini, E.C. Chain Controllability of Linear Control Systems. SIAM J. Control Optim. 62 (2024), no. 4, 2387–2411.

Cavalheiro, T.M.; Cossich, J.A.N.; Santana, A.J.The chain control set of discrete-time linear systems on the affine two-dimensional lie group. J. Dyn. Control Syst. 30 (2024), no. 3, Paper No. 25, 18 pp.

Colonius, F.; Santana, A.J.; Setti. Controllability of periodic linear systems, the Poincaré sphere, and quasi-affine systems. Math. Control Signals Systems 36 (2024), no. 1, 213–246.

Colonius, F.; Santana, A.J.; Setti. Control sets for affine systems, spectral properties, and projective spaces. SIAM J. Control Optim. 61 (2023), no. 2, 647–673.

 Lima de Oliveira, J.P.; Santana, A.J.; Stelmastchuk, S.N. Solution curve for linear control systems on Lie groups. Partial Differ. Equ. Appl. 4 (2023), no. 2, Paper No. 6, 18 pp.

Cossich, J. A. N.; Hungaro, R. M.; Rocio, O. G.; Santana, A. J..Orbit equivalence of linear systems on manifolds and semigroup actions on homogeneous spaces. Proyecciones 41 (2022), no. 5, 1173–1198.

Rodrigues, B.A.; San Martin, L.A. B.; Santana, A.J. Controllability and semigroups of invariant control systems on  Sl(n,H). Math. Control Signals Systems 34 (2022), no. 2, 393–404.

Lima de Oliveira, J.P.; Santana, A.J.; Stelmastchuk, S.N. The general solution for affine control systems on Lie groups. J. Dyn. Control Syst. 28 (2022), no. 2, 423–437.

Colonius, F.; Santana, A.J.; Setti, J.Control sets for bilinear and affine systems. Math. Control Signals Systems 34 (2022), no. 1, 1–35.

COLONIUS, F.; COSSICH, J.A.N; SANTANA, A.J. , Outer invariance entropy for discrete-time linear systems on Lie groups. ESAIM Control Optim. Calc. Var. 27 (2021), Paper No. 55, 14 pp.

COLONIUS, F.; COSSICH, J.A.N; SANTANA, A.J. , Controllability properties and invariance pressure for linear discrete-time systems. Journal of Dynamics and Differential Equations, p. 1-24, 2021

SANTANA, A.J.; SOUZA, J.A. Entropy for semigroup actions on general topological spaces. Mathematische Nachrichten, v.  293, n. 10, p. 1985-2010, 2020

SANTANA, A.J. ; STELMASTCHUK, S. N. . A topological conjugacy of invariant flows on some class of Lie groups. BOLETIM DA SOCIEDADE PARANAENSE DE MATEMÁTICA, v. 3, p. 151-160, 2020

SANTANA, A. J.; COLONIUS, FRITZ ; COSSICH, J. A. N. . Bounds for invariance pressure. JOURNAL OF DIFFERENTIAL EQUATIONS, p. 7877-7896, 2019.

COLONIUS, F.; SANTANA, A.J.; COSSICH, J.A.N. Invariance Pressure for Control Systems. J Dyn Diff Equat,  v. 31, p. 1-23, 2018..

DA SILVA, A.; SANTANA, A.J.; STELMASTCHUK, S.N. Topological conjugacy of linear systems on Lie groups.  Discrete and Continuous Dynamical Systems, v. 37, pp. 3411-3421. 2017.

ROCIO, O. G.; SANTANA, A. J.; VERDI, M. A. Hermes-Sussmann and ad-rank conditions for local controllability. Journal of Dynamical and Control Systems, v. 23, pp. 535-545. 2017.

COLONIUS, F.; SANTANA, A. J. A. Splitting theorem for affine skew-product flows. Mathematische Nachrichten, v. 289, pp. 1995-2006. 2016

SANTANA, A. J.; STELMASTCHUK, S. N. Harmonic maps into homogeneous spaces according to a darboux homogeneous derivative. Symmetry, Integrability and Geometry: Methods and Applications, v. 11, 2015.

HUNGARO, R. M.; ROCIO, O. G.; SANTANA, A. J. Classification of linear control systems and orbit equivalence. Preprint.

COLONIUS, F.; FUKUOKA, R.; SANTANA, A. J. Invariance entropy for topological semigroup actions. Proceedings of the American Mathematical Society, v. 141, pp. 4411-4423, 2013.

KAWAN, C.; ROCIO, O.G.; SANTANA, A. J. On topological conjugacy of left invariant flows on semisimple and affine Lie groups. Proyecciones,Chile, v. 30, n. 2, pp. 175-188, 2011.

COLONIUS, F.; SANTANA, A. J. Topological conjugacy for affine linear flows and control systems. Communications on Pure and Applied Analysis, v. 10, n. 3, pp. 847-857, 2011.

BRAGA BARROS, C.J.; SANTANA, A.J. Estruturas Algébricas com ênfase em elementos da teoria de Lie. Editora da Universidade Estadual de Maringá - EDUEM - 2011.  (Livro)

ROCIO, O. G.; SANTANA, A. J.; VERDI, M. A. Semigroups of Affine Groups, Controllability of Affine Systems and Affine Bilinear Systems in Sl(2,R)xR2. SIAM Journal on Control and Optimization, USA, v. 48, pp. 1080-1088, 2009.

COLONIUS, F.; SANTANA, A. J. Stability and topological conjugacy for affine differential equations. Boletim da Sociedade Paranaense de Matemática, v. 26, pp. 141-151, 2009.

ROCIO, O. G.; SAN MARTIN, L. A. B. ; SANTANA, A. J. Invariant cones for semigroups in transitive Lie group. J. Dynam. Control Systems, USA, v. 14, pp. 559-569, 2008.

ROCIO, O. G.; SAN MARTIN, L. A. B. ; SANTANA, A. J. Invariant cones and convex sets for bilinear control systems and parabolic type of semigroups. J. Dynam. Control Systems, USA, v. 12, n. 3, pp. 419-432, 2006.

ROCIO, O. G.; SAN MARTIN, L. A. B. ; SANTANA, A. J. Reversibility  for semigroup actions. Proyecciones,Chile, v. 24, n. 1, pp. 21-35, 2005.

ROCIO, O. G.; SANTANA, A. J. Free groups of semigroups in semi-simple Lie groups. Portugaliae Mathematica, Portugal, v. 61, n. 3, pp. 339-354, 2004.

SANTANA, A. J. The homotopy type of invariant control set. Proyecciones, Chile, v. 21, n. 3, pp. 225-243, 2002.

SAN MARTIN, L. A. B.; SANTANA, A. J. The homotopy type of Lie semigroups in semi-simple Lie groups. Monatshefete Für Mathematik, Austria, v. 136, n. 2, pp. 151-173, 2002.

Address

   Fundação Universidade Estadual de Maringá,

   Centro de Ciências Exatas, Departamento de Matemática.

   Avenida Colombo, 5790

   Campus Universitario

   CEP-87020-900

   MARINGA, PR – Brasil

   Phone number: 55-(0) 44 3011-6207

   E-mail: ajsantana@uem.br   Alternative e-mail: asantanauem@gmail.com

   Home page: http://www.dma.uem.br/

Last modified August 2024