Gaeta, Giuseppe On the geometry of twisted prolongations, and dynamical systems. (English) Zbl 1439.58022 Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1209-1227 (2020). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 58J70 58A20 34L30 35G50 70K99 PDFBibTeX XMLCite \textit{G. Gaeta}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1209--1227 (2020; Zbl 1439.58022) Full Text: DOI arXiv
Gaeta, Giuseppe Simple and collective twisted symmetries. (English) Zbl 1420.34036 J. Nonlinear Math. Phys. 21, No. 4, 593-627 (2014). MSC: 34A26 35A30 58J70 PDFBibTeX XMLCite \textit{G. Gaeta}, J. Nonlinear Math. Phys. 21, No. 4, 593--627 (2014; Zbl 1420.34036) Full Text: DOI arXiv
Gaeta, Giuseppe Gauge fixing and twisted prolongations. (English) Zbl 1231.70027 J. Phys. A, Math. Theor. 44, No. 32, 9 p. (2011). MSC: 70S05 35B06 58A20 17B66 37C10 PDFBibTeX XMLCite \textit{G. Gaeta}, J. Phys. A, Math. Theor. 44, No. 32, 9 p. (2011; Zbl 1231.70027) Full Text: DOI
Gaeta, Giuseppe A gauge-theoretic description of \(\mu \)-prolongations, and \(\mu \)-symmetries of differential equations. (English) Zbl 1170.58008 J. Geom. Phys. 59, No. 4, 519-539 (2009). MSC: 58J70 35A30 58D19 76M60 PDFBibTeX XMLCite \textit{G. Gaeta}, J. Geom. Phys. 59, No. 4, 519--539 (2009; Zbl 1170.58008) Full Text: DOI arXiv
Gaeta, Giuseppe Smooth changes of frame and prolongations of vector fields. (English) Zbl 1146.58029 Int. J. Geom. Methods Mod. Phys. 4, No. 5, 807-827 (2007). Reviewer: Werner M. Seiler (Kassel) MSC: 58J70 35A30 58A20 PDFBibTeX XMLCite \textit{G. Gaeta}, Int. J. Geom. Methods Mod. Phys. 4, No. 5, 807--827 (2007; Zbl 1146.58029) Full Text: DOI
Gaeta, Giuseppe Lambda and Mu-symmetries. (English) Zbl 1144.35314 Gaeta, Giuseppe (ed.) et al., SPT 2004. Symmetry and perturbation theory. Proceedings of the 5th international conference, Cala Gonone, Sardinia, Italy, May 30–June 6, 2004. Singapore: World Scientific (ISBN 981-256-136-6/hbk). 99-105 (2005). MSC: 35A30 58J70 PDFBibTeX XMLCite \textit{G. Gaeta}, in: SPT 2004. Symmetry and perturbation theory. Proceedings of the 5th international conference, Cala Gonone, Sardinia, Italy, May 30--June 6, 2004. Singapore: World Scientific. 99--105 (2005; Zbl 1144.35314) Full Text: arXiv
Gaeta, Giuseppe; Mancinelli, Rosaria Asymptotic scaling symmetries for nonlinear PDEs. (English) Zbl 1093.35004 Int. J. Geom. Methods Mod. Phys. 2, No. 6, 1081-1114 (2005). Reviewer: Peter Leach (Durban) MSC: 35A30 58J70 35K57 83C05 PDFBibTeX XMLCite \textit{G. Gaeta} and \textit{R. Mancinelli}, Int. J. Geom. Methods Mod. Phys. 2, No. 6, 1081--1114 (2005; Zbl 1093.35004) Full Text: DOI arXiv
Gaeta, G. Symmetry of stochastic equations. (English) Zbl 1093.60030 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3225-X). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(1), 98-109 (2004). Reviewer: S. V. Spichak (Kyïv) MSC: 60H10 82C31 58J70 34C14 35R60 PDFBibTeX XMLCite \textit{G. Gaeta}, in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine. 98--109 (2004; Zbl 1093.60030) Full Text: arXiv
Gaeta, Giuseppe; Morando, Paola PDEs reduction and \(lambda\)-symmetries. (English) Zbl 1122.35007 Note Mat. 23(2004-2005), No. 2, 33-73 (2005). Reviewer: Werner M. Seiler (Kassel) MSC: 35A30 35C05 58J70 PDFBibTeX XMLCite \textit{G. Gaeta} and \textit{P. Morando}, Note Mat. 23, No. 2, 33--73 (2004; Zbl 1122.35007) Full Text: DOI
Cicogna, Giampaolo; Gaeta, Giuseppe; Morando, Paola On the relation between standard and \(\mu\)-symmetries for PDEs. (English) Zbl 1063.58025 J. Phys. A, Math. Gen. 37, No. 40, 9467-9486 (2004). MSC: 58J70 35A30 PDFBibTeX XMLCite \textit{G. Cicogna} et al., J. Phys. A, Math. Gen. 37, No. 40, 9467--9486 (2004; Zbl 1063.58025) Full Text: DOI arXiv
Gaeta, Giuseppe; Morando, Paola On the geometry of lambda-symmetries and PDE reduction. (English) Zbl 1066.35007 J. Phys. A, Math. Gen. 37, No. 27, 6955-6975 (2004). Reviewer: Valeriy A. Yumaguzhin (Pereslavl’-Zalesskiy) MSC: 35A30 35G05 58A20 58J70 PDFBibTeX XMLCite \textit{G. Gaeta} and \textit{P. Morando}, J. Phys. A, Math. Gen. 37, No. 27, 6955--6975 (2004; Zbl 1066.35007) Full Text: DOI arXiv
Gaeta, Giuseppe; Morando, Paola Maximal degree variational principles and Liouville dynamics. (English) Zbl 1052.58021 Differ. Geom. Appl. 21, No. 1, 27-40 (2004). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 58E30 58A15 34A26 37C10 70G75 PDFBibTeX XMLCite \textit{G. Gaeta} and \textit{P. Morando}, Differ. Geom. Appl. 21, No. 1, 27--40 (2004; Zbl 1052.58021) Full Text: DOI
Gaeta, G.; Morando, P. Maximal degree variational principles. arXiv:math-ph/0305030 Preprint, arXiv:math-ph/0305030 [math-ph] (2003). MSC: 58A15 34A26 37C10 70G75 BibTeX Cite \textit{G. Gaeta} and \textit{P. Morando}, ``Maximal degree variational principles'', Preprint, arXiv:math-ph/0305030 [math-ph] (2003) Full Text: arXiv
Gaeta, Giuseppe (ed.) Special issue: Symmetry and perturbation theory. (English) Zbl 0989.00009 Acta Appl. Math. 70, No. 1-3, 282 p. (2002). MSC: 00B15 35-06 37-06 58-06 PDFBibTeX XMLCite \textit{G. Gaeta} (ed.), Acta Appl. Math. 70, No. 1--3, 282 p. (2002; Zbl 0989.00009) Full Text: DOI
Cicogna, Giampaolo; Gaeta, Giuseppe Partial Lie-point symmetries of differential equations. (English) Zbl 0969.35010 J. Phys. A, Math. Gen. 34, No. 3, 491-512 (2001). Reviewer: Violeta Tretynyk (Kyïv) MSC: 35A30 58J70 PDFBibTeX XMLCite \textit{G. Cicogna} and \textit{G. Gaeta}, J. Phys. A, Math. Gen. 34, No. 3, 491--512 (2001; Zbl 0969.35010) Full Text: DOI arXiv
Gaeta, Giuseppe; Quintero, Niurka Rodríguez Lie-point symmetries and stochastic differential equations. (English) Zbl 0951.60064 J. Phys. A, Math. Gen. 32, No. 48, 8485-8505 (1999). Reviewer: M.Stolarczyk (Katowice) MSC: 60H10 82C31 58J70 PDFBibTeX XMLCite \textit{G. Gaeta} and \textit{N. R. Quintero}, J. Phys. A, Math. Gen. 32, No. 48, 8485--8505 (1999; Zbl 0951.60064) Full Text: DOI
Gaeta, Giuseppe; Morando, Paola Commuting-flow symmetries and common solutions to differential equations with common symmetries. (English) Zbl 0949.35012 J. Phys. A, Math. Gen. 31, No. 1, 337-347 (1998). Reviewer: A.Steindl (Wien) MSC: 35A30 58J70 37J15 PDFBibTeX XMLCite \textit{G. Gaeta} and \textit{P. Morando}, J. Phys. A, Math. Gen. 31, No. 1, 337--347 (1998; Zbl 0949.35012) Full Text: DOI
Gaeta, Giuseppe; Morando, Paola Michel theory of symmetry breaking and gauge theories. (English) Zbl 0926.58008 Ann. Phys. 260, No. 1, 149-170 (1997). MSC: 58E15 81R40 81T13 PDFBibTeX XMLCite \textit{G. Gaeta} and \textit{P. Morando}, Ann. Phys. 260, No. 1, 149--170 (1997; Zbl 0926.58008) Full Text: DOI arXiv
Gaeta, Giuseppe Counting symmetry-breaking solutions to symmetric variational problems. (English) Zbl 0847.58017 Int. J. Theor. Phys. 35, No. 1, 217-229 (1996). Reviewer: B.V.Loginov (Ul’yanovsk) MSC: 58E09 PDFBibTeX XMLCite \textit{G. Gaeta}, Int. J. Theor. Phys. 35, No. 1, 217--229 (1996; Zbl 0847.58017) Full Text: DOI
Gaeta, G.; Rodríguez, M. A. Discrete symmetries of differential equations. (English) Zbl 0914.35006 J. Phys. A, Math. Gen. 29, No. 4, 859-880 (1996). MSC: 35A30 34A26 58J70 PDFBibTeX XMLCite \textit{G. Gaeta} and \textit{M. A. Rodríguez}, J. Phys. A, Math. Gen. 29, No. 4, 859--880 (1996; Zbl 0914.35006) Full Text: DOI Link
Gaeta, Giuseppe A splitting lemma for equivariant dynamics. (English) Zbl 0840.58015 Lett. Math. Phys. 33, No. 4, 313-320 (1995). Reviewer: B.V.Loginov (Ul’yanovsk) MSC: 58E09 81R40 PDFBibTeX XMLCite \textit{G. Gaeta}, Lett. Math. Phys. 33, No. 4, 313--320 (1995; Zbl 0840.58015) Full Text: DOI
Gaeta, Giuseppe Asymptotic symmetries and asymptotically symmetric solutions of partial differential equations. (English) Zbl 0821.35127 J. Phys. A, Math. Gen. 27, No. 2, 437-451 (1994). MSC: 35Q55 58J72 81T17 PDFBibTeX XMLCite \textit{G. Gaeta}, J. Phys. A, Math. Gen. 27, No. 2, 437--451 (1994; Zbl 0821.35127) Full Text: DOI
Gaeta, Giuseppe Nonlinear symmetries and nonlinear equations. (English) Zbl 0813.58002 Mathematics and its Applications (Dordrecht). 299. Dordrecht: Kluwer Academic Publishers. xix, 258 p. (1994). Reviewer: Th.J.Bartsch (Heidelberg) MSC: 58-02 34-02 35-02 35Qxx 58E09 37C80 37K35 58J70 58J72 PDFBibTeX XMLCite \textit{G. Gaeta}, Nonlinear symmetries and nonlinear equations. Dordrecht: Kluwer Academic Publishers (1994; Zbl 0813.58002)
Gaeta, Giuseppe Critical sections of gauge functionals: A symmetry approach. (English) Zbl 0779.58012 Lett. Math. Phys. 28, No. 1, 1-11 (1993). Reviewer: L.G.Vulkov (Russe) MSC: 58E15 81R40 58E09 81T13 PDFBibTeX XMLCite \textit{G. Gaeta}, Lett. Math. Phys. 28, No. 1, 1--11 (1993; Zbl 0779.58012) Full Text: DOI
Gaeta, Giuseppe Reduction and equivariant branching lemma: Dynamical systems, evolution PDEs, and gauge theories. (English) Zbl 0761.58004 Acta Appl. Math. 28, No. 1, 43-68 (1992). Reviewer: D.Andrica (Cluj-Napoca) MSC: 58E09 37G99 81T13 PDFBibTeX XMLCite \textit{G. Gaeta}, Acta Appl. Math. 28, No. 1, 43--68 (1992; Zbl 0761.58004)
Gaeta, Giuseppe Bifurcation and symmetry breaking. (English) Zbl 1211.58004 Phys. Rep. 189, No. 1, 1-87 (1990). MSC: 58E09 37N20 81R40 82B26 PDFBibTeX XMLCite \textit{G. Gaeta}, Phys. Rep. 189, No. 1, 1--87 (1990; Zbl 1211.58004) Full Text: DOI
Cicogna, G.; Gaeta, G. Quaternionic-like bifurcation in the absence of symmetry. (English) Zbl 0623.58032 J. Phys. A 20, 79-89 (1987). MSC: 58Z05 37G99 37C80 PDFBibTeX XMLCite \textit{G. Cicogna} and \textit{G. Gaeta}, J. Phys. A, Math. Gen. 20, 79--89 (1987; Zbl 0623.58032) Full Text: DOI