The theory of classical electromagnetism is constructed in terms of two exterior differential systems, F − dA = 0, and J − dG = 0, which act as topological constraints on the variety of independent variables {x, y, z, t}. These two fundamental constraints lead to two other independent concepts of topological torsion, A^F, and topological spin, A^G, which are explicitly dependent upon the potent...

We have investigated the appearance of chaos in the one-dimensional Newtonian gravitational three-body system (three masses on a line with -1/r pairwise potential). In the center of mass coordinates this system has two degrees of freedom and can be conveniently studied using Poincare sections. We have concentrated in particular on how the behavior changes when the relative masses of the three b...

We study discrete group actions on coarse Poincare duality spaces, e.g. acyclic simplicial complexes which admit free cocompact group actions by Poincare duality groups. When G is an (n − 1) dimensional duality group and X is a coarse Poincare duality space of formal dimension n, then a free simplicial action G y X determines a collection of “peripheral” subgroups H1, . . . , Hk ⊂ G so that the...

A tutorial and diagnostic visual tool is used to compute a set of strange attractors for a double oscillator. The tool provides a visual environment to detect chaotic behaviour from a time series. Here, computation and visualization are coupled together in a single environment. Common techniques to detect chaos involve the visualization of phase portraits and Poincare maps, apart from the compu...

In the same base setup as Sakharov’s induced gravity, we investigate emergence of gravity in effective quantum field theories (QFT), with particular emphasis on gauge sector which bosons acquire anomalous masses proportion to ultraviolet cutoff $$\varLambda _\wp $$ . Drawing fact that ^2$$ corrections explicitly break and Poincare symmetries, find it is possible map spacetime curvature a covari...

We give complete geometric invariants of cobordisms framed fold maps. These consist two types. take the immersion singular set into target manifold together with information about non-triviality normal bundle in source manifold. were introduced author's earlier works. Secondly we induced stable partial framing on whose studied general by Koschorke. show that these describe completely cobordism ...

This paper addresses questions of quasi-isometric rigidity and classification for fundamental groups of finite graphs of groups, under the assumption that the BassSerre tree of the graph of groups has finite depth. The main example of a finite depth graph of groups is one whose vertex and edge groups are coarse Poincare duality groups. The main theorem says that, under certain hypotheses, if G ...

The aim of the study was to determine if heart rate variability (HRV) showed any changes in patients with newly diagnosed epilepsy in comparison with controls. Sixty-five patients with epilepsy (38 males and 27 females), aged 30-50 years, who had never previously received treatment with antiepileptic drugs were eligible for inclusion in this study. Resting electrocardiogram (ECG) at spontaneous...

Studies on spatio-temporal phenomena observed from coupled chaotic networks, namely coupled systems of many chaotic cells, are classified into two categories; namely discrete time systems and continuous time systems. For discrete time systems Kaneko’s coupled map lattice is the most interesting and well-studied system [l]. He discovered various nonlinear spatiotemporal chaotic phenomena such as...

Thyristor controlled reactors are high power switching circuits used for static VAR control and the emerging technology of flexible ac transmission. The static VAR control circuit considered in the paper is a nonlinear periodically operated RLC circuit with a sinusoidal source and ideal thyristors with equidistant firing pulses. This paper describes new instabilities in the circuit in which thy...