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A note on micro-instability for Hamiltonian systems close to integrable
micro-instability Hamiltonian systems close to integrable
2015/9/25
In this note, we consider the dynamics associated to a perturbation of an integrable Hamiltonian system in action-angle coordinates in any number of degrees of freedom and we prove the following resul...
This note discusses briefly the definition of yield surface in hypoplasticity in connection
with the physical notion of yielding. The relation of yielding with the vanishing of the
material time der...
A note on the efficient implementation of Hamiltonian BVMs
Ordinary differential equations Runge-Kutta methods one-step methods,
2011/1/20
We discuss the efficient implementation of Hamiltonian BVMs (HBVMs), a recently introduced class of energy preserving methods for canonical Hamiltonian systems (see [2] and references therein), via th...
A note on convexity and starshapedness
Convex sets wn-convex sets starshaped sets affine sets
2010/11/1
We establish sufficient and necessary conditions for a set to be affine or convex. The concepts of weak near convexity and affine starshapedness are studied. A characterization of the (affine) kernel ...
A note on the Sumudu transforms and differential equations
Laplace transform Sumudu transform Differential equations
2010/9/21
In this work we introduce some relationship between Sumudu and Laplace transforms, further; for the comparison purpose, we apply both transforms to solve differential equations to see the differences ...
A note on proper affine vector fields in Bianchi type IV space-times
Affine vector fields holonomy and decomposability
2010/9/21
Affine vector fields of Bianchi type IV space-times are investigated using holonomy and decomposability, the rank of the 6× 6 Riemann matrix and direct integration technique. From the above study it f...
A note on the structure of the central path in linear programming
central path crossover events layers
2010/9/26
A note on the structure of the central path in linear programming.
A note on non-existence of (8,4)-2 Burst error correcting code
Perfect codes Burst-error Parity-check matrix
2010/9/26
This paper presents the non-existence of (8,4)-2 burst error correcting perfect code over GF(2). An (n,k) linear code is said to be perfect if for some positive integer b, it corrects all b and fewer ...
A note on the Euclidean norms of matrices with arithmetic-geometric-harmonic means
Euclidean norm arithmetic-geometric-harmonic mean
2010/9/25
A note on the Euclidean norms of matrices with arithmetic-geometric-harmonic means.
A note on integral transforms and partial differential equations
Laplace transform Sumudu transform convolution
2010/9/20
In this study, we apply double integral transforms to solve partial differential equation namely double Laplace and Sumudu transforms, in particular the wave and poisson’s equations were solved by dou...
A note on proper affine symmetry in Bianchi types VI_0 and VII_0 space-times
Affine vector fields holonomy and decomposability
2010/9/27
A study proper affine symmetry in the most general form of the Bianchi types 0 VI and 0 VII space-times is given by using holonomy and decomposability, the rank of the 6× 6 Riemann matrix and direct i...
We conjecture that every oriented graph $G$ on $n$ vertices with $\delta ^+ (G) , \delta ^- (G) \geq 5n/12$ contains the square of a Hamilton cycle. We also give a conjectural bound on the minimum sem...
This note concerns a nonlinear ill-posedness of the Prandtl equation and an invalidity of asymptotic boundary-layer expansions of incompressible fluid flows near a solid boundary. Our analysis is bui...
It is shown in this short note that the conjecture on the description of the group of automorphism of the spectral ball posed by Ransford and White is false.
A note on Kuczek's argument for non nearest neighbor contact processes
Kuczek's argument contact processes
2010/11/9
We are concerned with the supercritical process on the integers. The extension of the argument of Kuczek (1989) to this case is due to Mountford and Sweet (2000). Their approach is based on proving th...