منابع مشابه
Noether Symmetries and Critical Exponents
We show that all Lie point symmetries of various classes of nonlinear differential equations involving critical nonlinearities are variational/divergence symmetries.
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It is proved that several usual methods of reduction for ordinary differential equations, that do not come from the Lie theory, are derived from the existence of C∞ -symmetries. This kind of symmetries is also applied to obtain two successive reductions of an equation that lacks Lie point symmetries but is a reduced equation of another one with a three dimensional Lie algebra of point symmetrie...
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When we consider a diierential equation = 0 whose set of solutions is S, a Lie-point exact symmetry of this is a Lie-point invertible transformation T such that T (S) = S, i.e. such that any solution to = 0 is tranformed into a (generally, diierent) solution to the same equation; here we deene partial symmetries of = 0 as Lie-point invertible transformations T such that there is a nonempty subs...
متن کاملLie Point Symmetries for Reduced Ermakov Systems
Reduced Ermakov systems are defined as Ermakov systems restricted to the level surfaces of the Ermakov invariant. The condition for Lie point symmetries for reduced Ermakov systems is solved yielding four infinite families of systems. It is shown that SL(2, R) always is a group of point symmetries for the reduced Ermakov systems. The theory is applied to a model example and to the equations of ...
متن کاملDetecting approximate symmetries of discrete point subsets
Detecting approximate symmetries of parts of a model is important when attempting to determine the geometric design intent of approximate boundary-representation (B-rep) solid models produced e.g. by reverse engineering systems. For example, such detected symmetries may be enforced exactly on the model to improve its shape, to simplify its analysis, or to constrain it during editing. We give an...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2012
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/381/1/012062