The dispersion in photonic crystal fibers likewise conventional optical fibers determines performance of optical systems. Fibers having near-zero dispersion and wideband flat characteristics are considered crucial for applications in both the linear and nonlinear regimes. This paper presents an octagonal photonic crystal fiber design for ultra-flattened chromatic dispersion characteristic and e...

This paper studies the bifurcation paths exhibited by a simple second-order dc/dc boost converter under currentprogrammed control with and without voltage feedback. Previous work in this area has reported two distinct types of bifurcation paths, namely via regions of quasi-periodic orbits and perioddoubling. This paper demonstrates that the two different types of bifurcation paths can, in fact,...

We present a new method for automatically proving termination of term rewriting and string rewriting. It is based on the wellknown idea of interpretation of terms in natural numbers where every rewrite step causes a decrease. In the dependency pair setting only weak monotonicity is required for these interpretations. For these we use quasiperiodic functions. It turns out that then the decreasin...

In this paper we introduce recurrent dimensions of discrete dynamical systems and we give upper and lower bounds of the recurrent dimensions of the quasi-periodic orbits. We show that these bounds have different values according to the algebraic properties of the frequency and we investigate these dimensions of quasi-periodic trajectories given by solutions of a nonlinear PDE.

In this paper, we prove a reducibility result for relativistic Schrödinger equation on torus with time quasi-periodic unbounded perturbations of order 1/2. As far as known, is the first equation.

We develop an a-posteriori KAM theory for the equilibrium equations for quasi-periodic solutions in a quasi-periodic Frenkel-Kontorova model when the frequency of the solutions resonates with the frequencies of the substratum. The KAM theory we develop is very different both in the methods and in the conclusions from the more customary KAM theory for Hamiltonian systems or from the KAM theory i...

there has been extensive work on the existence of periodic solutions for nonlinear second order autonomous differantial equations, but little work regarding the third order problems. the popular poincare-bendixon theorem applies well to the former but not the latter (see [2] and [3]). we give a necessary condition for the existence of periodic solutions for the third order autonomous systems, t...

2 3 The second issue of SCE-Science opens up the aperture to a wider glance at the diverse and innovative research conducted at SCE-Sha-moon College of engineering. The articles brought here present just a small portion of the bustling activity of creation, cooperation, and study felt throughout our college. In this issue are represented some of our senior researchers as well as some of our lat...