This updated revision gives a complete and topical overview on Nonconservative Stability
which is essential for many areas of science and technology ranging from particles trapping …

The paradox of destabilization of a conservative or non‐conservative system by small
dissipation, or Ziegler's paradox (1952), has stimulated an ever growing interest in the …

Tippe top is an example of simple moving system of rigid body with non-holonomic
constraint, but the analysis of this system is not simple. A tippe top equation has been …

Physics computing can be used to help to solve complex dynamic equations, both
translation and rotation. The purpose of this study was to obtain differences in the dynamics …

The formulation of the dynamics of a mechanical system can be done by the method of the
Port Controlled Hamiltonia System (PCHS), but this method still leaves a Lagrange …

Modifications of the equations of ideal fluid dynamics with advected quantities are
introduced that allow selective decay of either the energy h or the Casimir quantities C in the …

The classical question whether nonholonomic dynamics is realized as limit of friction forces
was first posed by Carathéodory. It is known that, indeed, when friction forces are scaled to …

Composite materials consisting of negative-stiffness inclusions in positive-stiffness matrix
may exhibit anomalous effective coupled-field properties through the interactions of the …

Using a homotopic family of boundary eigenvalue problems for the mean-field α 2 dynamo
with helical turbulence parameter α (r)= α 0+ γ Δ α (r) and homotopy parameter β∊[0, 1], we …

We study the linear differential equation x˙= Lx in 1: 1-resonance. That is, x∈ R4 and L is 4×
4 matrix with a semi-simple double pair of imaginary eigenvalues (iβ,− iβ, iβ,− iβ). We wish to …