M. Sabatini -
Global injectivity of planar non-singular maps that are polynomial in one variable, Colloquium Mathematicum, 175 (2024) 137 - 151.
available on line at Coll. Mat. (2024).
See also arXiv: 2302.05394.
M. Sabatini -
Injectivity of non-singular planar maps with disconnecting curves in the eigenvalues space, Topological Methods in Nonlinear Analysis,
62, 1 (2023) 367 - 375,
available on line at TMNA (2023).
See also arXiv: 2202.05542.
M. Sabatini -
Injectivity of non-singular planar maps with one convex component, Bulletin of the Polish Academy of Sciences - Mathematics 69 (2021) 107 - 113, available on line at BPASM (2021).
See also
arXiv: 2107.12043.
M. Sabatini - An extension to the planar Markus-Yamabe Jacobian conjecture, Electronic Journal of Qualitative Theory of Differential Equations 80, (2021) 1 - 6, available on line at EJQTDE, vol. 80.
See also arXiv: 2106.15461.
M. Sabatini - Measure-preserving symmetries and reversibilities of ordinary differential systems, Bulletin des Sciences Mathématiques, 164, 11, (2020), available on line at BSM, vol. 164, no. 11.
See also arXiv: 1802.01361.
A. Gasull, M. Sabatini - Fixed and moving limit cycles for Liénard equations, Annali di Matematica Pura ed Applicata, 198, 6, (2019) 1985 - 2006, available on line at AMPA, vol. 198, no. 6.
M. Sabatini - Every period annulus is both reversible and symmetric, Qualitative Theory of Dynamical Systems, 16, 1, (2017) 175 - 185, April 2017, available on line at QTDS, vol. 16, no. 1.
See also arXiv: 1504.04530.
M. Sabatini - On the fixed points set of differential systems reversibilities, Bulletin des Sciences Mathématiques 140, 6, (2016) 629 - 637, available on line at BSM, vol. 140, no. 6.
See also arXiv: 1510.01464.
M. Sabatini - Centers with equal period functions, Journal of Mathematical Analysis and Applications, 430, 1, (2015) 296 - 305, available on line at JMAA, vol. 430, no. 1.
See also
arXiv: 1501.07122.
M. Sabatini - Finding Hamiltonian isochronous centers by non-canonical transformations,
Proceedings of the Conference "New Trends in Dynamical Systems"
held in Salou (Tarragona), Spain, 1-5 October, 2012, Publ. Mat. (2014), 453 - 459, available online at Diposit digital de documents dla UAB , or at Publ. Mat., Vol. EXTRA (2014) .
M. Sabatini - Corrigendum to "The period functions' higher order derivatives'' [J. Differential Equations 253 (10) (2012) 2825 - 2845], Journal of Differential Equations, 255, 5, (2013) 1067, available online at JDE, vol. 255, no. 5.
M. Sabatini - Corrigendum to "On the period function of Liénard systems'' [J. Differential Equations 152 (2) (1999) 467 - 487], Journal of Differential Equations, 255, 4, (2013) 759, available online at JDE, vol. 255, no. 4 .
M. Sabatini - Linearizations, normalizations and isochrones of planar differential systems, Rendiconti dell'Istituto di Matematica dell'Università di Trieste, 44, (2012) 153 - 171, available online at RIMUT, vol. 44.
M. Sabatini - The period functions' higher order derivatives, Journal of Differential Equations, 253, 10, (2012) 2825 - 2845, available online at JDE, vol. 253, no. 10. Preprint Univ. di Trento, UTM 750, 2012.
A. Fonda, M. Sabatini, F. Zanolin - Periodic solutions of perturbed Hamiltonian systems in the plane by the use of the Poincare-Birkhoff theorem, Topological Methods in Nonlinear Analysis, 40, 1 (2) (2012) 29 - 52, abstract here.
M. Sabatini - Limit cycle's uniqueness for second order O.D.E.'s polynomial in x', Journal of Mathematical Analysis and Applications 381, 1, (2011) 402 - 413. Available on line at JMAA, vol. 381, no. 1.
M. Sabatini, G. Villari - On the uniqueness of limit cycles for Liénard equation: the legacy of G. Sansone, Le Matematiche, 65, 2, (2010) 201 - 214, available on line at Le Matematiche, vol. 65, no.2.
M. Sabatini - Existence and uniqueness of limit cycles in a class of second order ODE's with inseparable mixed terms, Chaos, Solitons & Fractals, 43, 1-12, (2010) 25 - 30,
available on line at doi:10.1016/j.chaos.2010.07.002.
M. Sabatini - A note on the divergence-free Jacobian Conjecture in R2, Bulletin of the Polish Academy of Sciences, 57, 2 (2009) 109 - 115.
A. Guillamon - M. Sabatini - The number of limit cycles in planar systems and generalized Abel equations with monotonous hyperbolicity, Nonlinear Analysis: Theory, Methods & Applications, 71, 5-6 (2009) 1941-1949.
Available on line at doi:10.1016/j.na.2009.01.034.
AMS review 2010c:34049
A. Guillamon - M. Sabatini - Geometric tools to determine the hyperbolicity of limit cycles, Journal of Mathematical Analysis and Applications, 331, 2 (2007) 986 - 1000.
http://www.sciencedirect.com/science/article/pii/S0022247X06009954
Available on line at JMAA, vol. 331, no. 2.
M. Sabatini - G. Villari - Limit cycle's uniqueness for a class of planar dynamical systems, Applied Mathematics Letters, 19 (2006) 1180 - 1184.
Available on line at Appl. Math. Lett., vol. 19, no. 11 - AMS review 2007h:34055.
M. Sabatini - On the period function of planar systems
with unknown normalizers,
Proceedings of the American Mathematical Society, 134 (2006) 531 - 539.
AMS review 2006g:34093
M. Sabatini - Period function's convexity for Hamiltonian
centers with separable variables, Annales Polonici Matematici, 85.2 (2005) 153 - 163.
AMS review 2006i:34071
M. Sabatini - Isochronous sections via normalizers,
International Journal of Bifurcation and Chaos, 15, 9 (2005) 3031 - 3037.
AMS review 2006f:34070
M. Sabatini - Liénard limit cycles enclosing
period annuli, or enclosed by period annuli, Rocky Mountain Journal of
Mathematics, 35 (2005) 253 - 266.
AMS review 2006e:34073
M. Sabatini - Dynamics of normalized systems on surfaces,
Topological Methods in Nonlinear Analysis, 24 (2004) 147 - 157.
AMS review 2005k:34140
M. Sabatini - On the period function of x"+f(x)x'2+g(x)=0,
Journal of Differential Equations, 196 (2004) 151 - 168.
AMS review 2004i:34069
M. Sabatini - Non periodic isochronous oscillations in
plane differential systems,
Annali di Matematica Pura ed Applicata, 182, 4 (2003) 487 - 501 .
AMS review 2004j:34079
M. Sabatini, L. Trussoni - Localizing attractors via a generalized La Salle principle,
Mathematical and Computer Modelling, 36 (2002) 1085 - 1098.
AMS review 2003m:37025
M. Sabatini - Successive bifurcations at Infinity for second order O.D.E.'s,
Qualitative Theory of Dynamical Systems, 3 (2002)
1 - 18.
Available on line at QTDS, vol. 3 -
AMS review
2004d:34072
M. Sabatini - Commutativity of flows and injectivity of
nonsingular mappings, Annales Polonici Mathematici, LXXVI. 1 - 2
(2001) 159 - 168.
Available on line at QTDS, vol. 3
AMS review 2002d:37030.
L. Mazzi, M. Sabatini - Commutators and linearizations of isochronous centres,
Rendiconti dell'Accademia Nazionale dei Lincei, serie IX, vol. XI, fasc.2 (2000) 81 - 98.
AMS review 2001h:34046.
J. Chavarriga, M. Sabatini - A survey of isochronous centers,
Qualitative Theory of Dynamical Systems 1 (1999) 1 - 70.
AMS review 2001c:34056 -
M. Sabatini - On the period function of Liénard systems,
Journal of Differential Equations 152 (1999) 467 - 487,
AMS review 99m:34070.
M. Sabatini - A connection between isochronous hamiltonian centres and the Jacobian conjecture,
Nonlinear Analysis, T.M.A. 34 (1998) 829 - 838.
AMS review 99e:34033.
T. Parthasarathy, G. Ravindran, M. Sabatini - Completely mixed games and real jacobian conjecture,
in "Game theoretical applications to economics and operation
research", editors: B. Dutta, T. Parthasarathy, J.A.M. Potters,
T.E.S. Raghavan, D. Ray, A. Sen - Kluwer Academic Publishers, Dordrecht,
1997, pp. 17 - 23.
AMS review 1 800 903.
M. Sabatini - Characterizing isochronous centres by Lie brackets,
Differential Equations and Dynamical Systems 5, 1 (1997) 91 - 99.
AMS review 99g:34065.
M. Sabatini - Dynamics of commuting systems on two-dimensional manifolds,
Annali di Matematica Pura ed Applicata, (IV) CLXXII (1997) 213 - 232.
AMS review 99f:34071.
G. S. R. Murthy, T. Parthasarathy, M. Sabatini -
Lipschitzian Q-matrices are P-matrices, Mathematical Programming,
74 (1996) 55 - 58.
AMS review 97c:90126.
A. Bacciotti, L. Mazzi, M. Sabatini - Generation of stable limit cycles in controllable linear systems,
System and Control Letters 28 (1996) 43 - 48.
AMS review 97c:93064.
G. S. R. Murthy, T. Parthasarathy, M. Sabatini - A note on negative lipschitzian matrix,
Opsearch, 31, 3 (1994) 237 - 239.
AMS review 95h:90148.
M. Sabatini - An extension to Hadamard global inverse function theorem in the plane,
Nonlinear Analysis, T.M.A., 20, (1993), 1069-1077.
AMS review 94e:26021.
T. Parthasarathy, M. Sabatini - Some new results on the global asymptotic stability Jacobian conjecture,
Bulletin of the Polish Academy of Sciences, 41, 3 (1993) 221 - 228.
AMS review 98c:34080 (Featured Review).
M. Sabatini - Bifurcation of periodic solutions from inversion of stability of periodic O.D.E.'s,
Rendiconti del Seminario Matematico dell'Università di Padova, LXXXIX (1993), 1 - 9.
AMS review 94f:34086.
L. Mazzi, M. Sabatini - On the existence of global first integrals in the plane,
Annali di Matematica Pura ed Applicata, IV, CLXIII (1993), 143 - 160.
AMS review 94f:34086.
L. Mazzi, M. Sabatini - Global integrals for plane systems with finitely many singularities,
Nonlinear Analysis, T.M.A., 19, 9, 873-883 (1992).
AMS review 93m:34061.
M. Sabatini - A sufficient condition for a polynomial centre to be global,
Atti dell'Accademia Nazionale dei Lincei, CCCLXXXVIII, IX, II, 4 (1991) 281 - 285.
AMS review 92m:34073.
M. Sabatini - Global asymptotic stability of critical points in the plane,
Rendiconti del Seminario Matematico dell' Università e del Politecnico di Torino, 48, 2 (1990), 97 - 103.
AMS review 94b:34067.
L. Mazzi, M. Sabatini - A characterization of centres via first integrals,
Journal of Differential Equations 76, 2 (1988), 222 - 237.
AMS review 89k:34044.
M. Sabatini - Hopf bifurcation from infinity,
Rendiconti del Seminario Matematico dell'Università di Padova, LXXVIII, (1987) 237 - 253.
AMS review 89k:58218.
Communications to meetings
M. Sabatini - Coexistence of centers and limit cycles in Liénard systems,
"Proceedings of EQUADIFF 2003, International Conference on
Differential Equations, Hasselt, Belgium, July 22-26, 2003", Edited
by Freddy Dumortier, Henk W.Broer, Jean Mawhin, Andre Vanderbauwhede, Sjoerd Verduyn Lunel,
World Scientific, Singapore, 2005, pp. 354 - 356.
T. Parthasarathy, G. Ravindran, M. Sabatini - Completely mixed games and real
jacobian conjecture,
in "Game theoretical applications to economics and operation research", editors:
T. Parthasarathy, B. Dutta, J.A.M. Potters, T.E.S. Raghavan, D. Ray and A. Sen -
Kluwer Academic Publishers, Dordrecht, 1997, pp. 17 - 23.
M. Sabatini - Qualitative analysis of commuting flows on two-dimensional manifolds,
in "EQUADIFF 95 - International Conference on
Differential Equations - Lisboa 1995", editors: L. Magalhaes, C.
Rocha, L. Sanchez, World Scientific, Singapore, 1998, pp. 494 - 497.
AMS review 1 639 425
M. Sabatini - A geometric condition for a plane critical point to be globally asymptotically stable,
in "EQUADIFF 91 - International Conference on Equations - Barcelona", editors: C.
Perellò, C. Simò, J. Solà-Morales, World Scientific,
London, 1993, pp. 861 - 863.
AMS review 1 242 353
L. Mazzi, M. Sabatini - A characterization of centres via first integrals,
in "Advanced Topics in the theory of
Dynamical Systems", editors: G. Fusco,
M. Iannelli, L. Salvadori, Academic Press, London, 1989, pp. 165 - 177.
AMS review 90f:58148 .
Books
M. Sabatini - Equazioni differenziali ordinarie, Youcanprint, Youcanprint Self-Publishing, 2023.
M. Sabatini - 200 TEST di Analisi Matematica 1, Youcanprint, Youcanprint Self-Publishing, 2016.
Other stuff
M. Sabatini - La geometria del taxi,
Materials Matemàtics, Revista Electrònica de Divulgació Matemàtica
Editada pel Departament de Matemàtiques de la
Universitat Autònoma de Barcelona, (2007).
(edited by) M. Sabatini - Recent results on the Global Asymptotic Stability Conjecture,
conferences given at the Workshop held in Trento, Dept. of Mathematics, September 1993.
Trento, UTM 429 (1994).
M. Sabatini - Generalized Hopf bifurcation,
Master Ph. thesis, discussed at the International School for Advanced
Studies, Trieste, (1983).