A family of critical curves t h a t lie in the r ange of a class of Po inca re h a l f m a p s induced by a saddle focus in three-space is inves t iga ted analyt ical ly . It compr i s e s all " f a r f inal po in t s " of the images of invar iant curves tha t a re subjec t to a s e p a r a t i n g m e c h a n i s m . T h e n u m b e r of b ranches occurr ing on a speci f ic critical cu rve is ...

Certain spaces satisfying Poincare duality are shown to have the homotopy type of simple Poincare complexes. The motivation for and applications of this result are the study of free actions of finite groups on manifolds. Let X be a finite CW complex with finite fundamental group ir. Then X is an n-dimensional Poincare complex if there is a class [X] E H, (X) such that the slant product with the...

A method to recognize polarization constellations is proposed. Described method is based on analysis of torsion and curvature of three-dimensional curve. The three-dimensional curve is defined by states of polarization on the Poincare sphere. Key-Words: Fiber optics; Polarization light; Birefringence; Poincare sphere; Space curve; Frenet frame

The nonlinear charge storage property of driven Si p-n junction passive resonators gives rise to chaotic dynamics: period doubling, chaos, periodic windows, and an extended period-adding sequence corresponding to entrainment of the resonator by successive subharmonics of the driving frequency. The physical system is described; equations of motion and iterative maps are reviewed. Computed behavi...

This paper examines the recurrent behaviour of a class of hybrid systems which periodically switch between diierent rst order integrators. The analysis is based on studying the Poincare map of the hybrid system. For switched integrator systems, the Poincare maps are linear mappings thereby allowing easy characterization of the system's stability. Extending these results to more general classes ...

We present Poincare invariant domain wall (“3-brane”) solutions to some 5-dimensional effective theories which can arise naturally in string theory. In particular, we find theories where Poincare invariant solutions exist for arbitrary values of the brane tension, for certain restricted forms of the bulk interactions. We describe examples in string theory where it would be natural for the quant...