In this paper, the stability of linear systems with time-delays is studied. The cases where the characteristic equations of the system include three delays are investigated. Using the geometrical relations in a normalized polynomial plane, a graphical method is presented to visualize the stability domains in the space of the time delays. In this space, the points at which the characteristic equ...

We investigate the interplay between coherent effects characteristic of the propagation of linear waves, the non-linear effects due to interactions, and the quantum manifestations of classical chaos due to geometrical confinement, as they arise in the context of the transport of Bose-Einstein condensates. We specifically show that, extending standard methods for non-interacting systems, the bod...

© 2006 American Institute of Physics, S-0031-9228-0602-010-2 T ancient Greeks were aware of the phenomenon of magnetic order in lodestone, a type of rock containing the ferromagnet magnetite Fe3O4. Magnetic moments in a ferromagnet tend to align and thereby sum to an easily observed macroscopic magnetic moment. The absence of such a moment even in ordered antiferromagnets is the reason their di...

This paper proposes rigorous geometrical treatment of bioelectrodynamics, underpinning two fast–growing biomedical research fields: bioelectromagnetism, which deals with the ability of life to produce its own electromagnetism, and bioelectromagnetics, which deals with the effect on life from external electromagnetism.

We prove a Steiner formula for regular surfaces with no characteristic points in 3D contact sub-Riemannian manifolds endowed an arbitrary smooth volume. The we obtain, which is equivalent to half-tube formula, of local nature. It can thus be applied any surface region not containing points. provide geometrical interpretation the coefficients appearing expansion, and compute them on some relevan...

This is a working paper, describing work that the two of us have done over the course of 2016 and the beginning of 2017, developing in some detail an analysis of some aspects of inflectional morphology. In most respects this work continues the development of work in this area over the past fifty or more years, but in one or two important ways our approach is different. We believe that a geometr...