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…
Families of orbits in conservative fields of Hénon-Heiles type
Abstract The equations of the inverse problem of dynamics are used in order to obtain planar and spatial potentials of…
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…