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DIFFERENTIAL EQUATIONS AND LIE SYMMETRIES
Waves and Stability in Continuous Media, 2008F. Oliveri +2 more
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Lie symmetries of nonlinear systems with unknown inputs
Mechanical Systems and Signal Processing, 2023Xiaodong Shi, Manolis Chatzis
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Lie-point symmetries in bifurcation problems
1992The authors develop a theory of bifurcations of differential equations with Lie point symmetries. Viewing the differential equation as an ``algebraic equation'' on some jet bundle is the key of the analysis. The authors show how the well-known results of equivariant bifurcation theory can be formulated in this context and how the results carry over ...
CICOGNA, GIAMPAOLO, Gaeta G.
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Groups, Lie Algebras, Symmetries in Physics
2018The first problems in this chapter deal with basic properties of groups and of group representations. Fundamental results following from Schur lemma are introduced since the beginning in the case of finite groups, with simple applications of character theory, in the study of vibrational levels of symmetric systems. Other problems concern the notion and
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Non‐classical Lie symmetries for nonlinear time‐fractional Heisenberg equations
Mathematical Methods in the Applied Sciences, 2022Ali Haji-Badali +2 more
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Lie Symmetries of Differential Equations: Classical Results and Recent Contributions
Symmetry, 2010Francesco Oliveri, Oliveri Francesco
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On differential equations characterized by their Lie point symmetries
Journal of Mathematical Analysis and Applications, 2007Raffaele Vitolo +2 more
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Lie symmetries and conservation laws of the Hirota–Ramani equation
Communications in Nonlinear Science and Numerical Simulation, 2012Mehdi Nadjafikhah
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