Families of orbits in planar anisotropic fields
Abstract The aim of the planar inverse problem of dynamics is: given a monoparametric family of curves \(f(x,y)=c\), find the…
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Construction of 3D potentials from a pre-assigned two-parametric family of orbits
Abstract AuthorsMira-Cristiana Anisiu Thomas A Kotoulas Keywords? Paper coordinatesM.-C. Anisiu, Th. Kotoulas, Construction of 3D potentials from a pre-assigned two-parametric family…
Pencils of straight lines in logarithmic potentials
Abstract The aim of the planar inverse problem of dynamics is to find the potentials under whose action a material…
Refinement of some inequalities for means
Abstract We consider weighted arithmetic means as, for example \(\alpha G+\left(1-\alpha \right) C\), with \(\alpha \in \left( 0,1\right) ,GC\) being…
Properties of palindromes in finite words
Abstract We present a method which displays all palindromes of a given length from De Bruijn words of a certain…
Two-dimensional arrays with maximal complexity
Abstract We present natural bounds for the complexity function of two-dimensional arrays, and we study the shape of the maximal…
On Lp norms and the spectral radius of operators in Hilbert spaces
Abstract We prove that \(lim_{p\rightarrow \infty}k\) \(\left \Vert f\right \Vert _{+p}^{+p}\diagup \left \Vert f\right \Vert _{p}^{p}=\left \Vert f\right \Vert _{\infty}\)…
New solutions in the direct problem of dynamics
Abstract Given a planar potential \(V\), we look for families of orbits \(f(x,y)=c\) (determined by their slope function \(\U{3b3} =fy/fx\)),…
Two-dimensional total palindrome complexity
Abstract We initiate a comparative study of the properties of total palindrome complexity for binary words and arrays. From this…
Programmed motion with homogeneity assumptions
Abstract We consider the problem : Given a planar region \(T_{orb}\) described by one inequality \(g(x,y)\leq c_{0}\), find the potentials…