Search results for "Meter"

showing 10 items of 16915 documents

Oscillation criteria for even-order neutral differential equations

2016

Abstract We study oscillatory behavior of solutions to a class of even-order neutral differential equations relating oscillation of higher-order equations to that of a pair of associated first-order delay differential equations. As illustrated with two examples in the final part of the paper, our criteria improve a number of related results reported in the literature.

Applied Mathematics010102 general mathematicsMathematical analysisDelay differential equation01 natural sciences010101 applied mathematicsExamples of differential equationsStochastic partial differential equationNonlinear systemDistributed parameter systemSimultaneous equationsCollocation method0101 mathematicsDifferential algebraic equationMathematics
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Melnikov functions and Bautin ideal

2001

The computation of the number of limit cycles which appear in an analytic unfolding of planar vector fields is related to the decomposition of the displacement function of this unfolding in an ideal of functions in the parameter space, called the Ideal of Bautin. On the other hand, the asymptotic of the displacement function, for 1-parameter unfoldings of hamiltonian vector fields is given by Melnikov functions which are defined as the coefficients of Taylor expansion in the parameter. It is interesting to compare these two notions and to study if the general estimations of the number of limit cycles in terms of the Bautin ideal could be reduced to the computations of Melnikov functions for…

Applied MathematicsComputationMathematical analysisPlanar vector fieldsParameter spacesymbols.namesakeDisplacement functionTaylor seriessymbolsDiscrete Mathematics and CombinatoricsVector fieldHamiltonian (quantum mechanics)Melnikov methodMathematicsQualitative Theory of Dynamical Systems
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One-dimensional families of projections

2008

Let m and n be integers with 0 < m < n. We consider the question of how much the Hausdorff dimension of a measure may decrease under typical orthogonal projections from onto m-planes provided that the dimension of the parameter space is one. We verify the best possible lower bound for the dimension drop and illustrate the sharpness of our results by examples. The question stems naturally from the study of measures which are invariant under the geodesic flow.

Applied MathematicsMinkowski–Bouligand dimensionGeneral Physics and AstronomyDimension functionStatistical and Nonlinear PhysicsGeometryParameter spaceEffective dimensionUpper and lower boundsCombinatoricsPacking dimensionHausdorff dimensionInvariant (mathematics)Mathematical PhysicsMathematicsNonlinearity
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CCDC 113469: Experimental Crystal Structure Determination

2000

Related Article: F.Hueso-Urena, A.L.Penas-Chamorro, M.N.Moreno-Carretero, J.M.Amigo, V.Esteve, T.Debaerdemaeker|1999|Polyhedron|18|2205|doi:10.1016/S0277-5387(99)00108-4

Aqua-((6-amino-5-formyl-13-dimethyluracil)benzoylhydrazonato)-perchlorato-copper(ii) perchlorateSpace GroupCrystallographyCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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CCDC 258321: Experimental Crystal Structure Determination

2005

Related Article: M.L.Calatayud, J.Sletten, M.Julve, I.Castro|2005|J.Mol.Struct.|741|121|doi:10.1016/j.molstruc.2005.01.069

Aqua-(123-trioxocyclopent-4-en-45-diolato)-(22':6'2''-terpyridine)-nickel(ii) monohydrateSpace GroupCrystallographyCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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CCDC 235074: Experimental Crystal Structure Determination

2005

Related Article: J.Pasan, J.Sanchiz, C.Ruiz-Perez, F.Lloret, M.Julve|2004|Eur.J.Inorg.Chem.||4081|doi:10.1002/ejic.200400260

Aqua-(22'-bipyridyl)-(phenylmalonato)-copper(ii) dihydrateSpace GroupCrystallographyCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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CCDC 200157: Experimental Crystal Structure Determination

2004

Related Article: J.Carranza, C.Brennan, J.Sletten, B.Vangdal, P.Rillema, F.Lloret, M.Julve|2003|New J.Chem.|27|1775|doi:10.1039/b301212n

Aqua-(croconato)-(22'-bipyrazine)-copper(ii)Space GroupCrystallographyCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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CCDC 200156: Experimental Crystal Structure Determination

2004

Related Article: J.Carranza, C.Brennan, J.Sletten, B.Vangdal, P.Rillema, F.Lloret, M.Julve|2003|New J.Chem.|27|1775|doi:10.1039/b301212n

Aqua-(oxalato)-(22'-biimidazole)-copper(ii) monohydrateSpace GroupCrystallographyCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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CCDC 170551: Experimental Crystal Structure Determination

2002

Related Article: H.Grove, J.Sletten, M.Julve, F.Lloret, L.Lezama, J.Carranza, S.Parsons, P.Rillema|2002|J.Mol.Struct.|606|253|doi:10.1016/S0022-2860(01)00891-2

Aqua-(oxalato-OO')-(1458912-hexa-azatriphenylene)-copper(ii) monohydrateSpace GroupCrystallographyCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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CCDC 240026: Experimental Crystal Structure Determination

2005

Related Article: J.Carranza, H.Grove, J.Sletten, F.Lloret, M.Julve, P.E.Kruger, C.Eller, D.P.Rillema|2004|Eur.J.Inorg.Chem.||4836|doi:10.1002/ejic.200400500

Aqua-(oxalato-OO')-(23-bis(2-pyridyl)quinoxaline)-copper(ii) pentahydrateSpace GroupCrystallographyCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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