Abstract Periodic orbit theory for classical hyperbolic system is very significant matter of how we can interpret spectral statistics in terms of semiclassical theory. Although pruning is significant and generic property for almost all hyperbolic systems, pruning-proof property for the correlation among the periodic orbits which gains a resurgence of second term of the random matrix form factor...

Actin, spectrin, and associated molecules form a periodic, submembrane cytoskeleton in the axons of neurons. For a better understanding of this membrane-associated periodic skeleton (MPS), it is important to address how prevalent this structure is in different neuronal types, different subcellular compartments, and across different animal species. Here, we investigated the organization of spect...

We experimentally observe the “superprism effect” in a periodic thin-film structure acting as a one-dimensional photonic crystal. The design of non-periodic structures exhibiting a linear shift with wavelength in the EDFA C-band is discussed. 2002 Optical Society of America OCIS codes: (260.2030) Dispersion; (060.4230) Multiplexing; (230.4170) Multilayers WDM systems create a strong need for c...

In this study, coupling between two cores in a specific photonic crystal fiber (PCF) structure is investigated via Localized Basis Function (LBF) method. The PCF structure considered here consists of an unbounded periodic cladding and two high index core regions. In the LBF method, a guided mode localized in the core regions and periodic variation of the refractive index in the transverse domai...

The dispersion diagram of infinite periodic structures is useful for the practical design of waveguide filters. Starting from the dispersion diagram of a unit cell, it is possible to generate a finite structure with very similar passand stop-bands (gaps). However, truncation of the infinite periodic structure degrades the pass-band performance. In this paper, these impairments are overcome by m...

In this paper we investigate the periodic structure of rich words (i.e., words having the highest possible number of palindromic factors), giving new results relating them with periodic-like words. In particular, some new characterizations of rich words and rich palindromes are given. We also prove that a periodic-like word is rich if and only if the square of its fractional root is also rich.

In this paper, we establish a model reduction technique for periodic discrete-time descriptor systems exploiting the generalized inverses of the periodic singular matrix pairs associated with the systems. We compute the generalized inverses of periodic singular matrix pairs to implement a structure preserving iterative method for the solution of the periodic projected Lyapunov equations that ar...

A real band condition is shown to exist for one dimensional periodic complex non-hermitian potentials exhibiting PT-symmetry. We use an exactly solvable ultralocal periodic potential to obtain the band structure and discuss some spectral features of the model, specially those concerning the role of the imaginary parameters of the couplings. Analytical results as well as some numerical examples ...

We provide new variational settings to study the a.p. almost periodic solutions of a class of nonlinear neutral delay equations. We extend Shu and Xu 2006 variational setting for periodic solutions of nonlinear neutral delay equation to the almost periodic settings. We obtain results on the structure of the set of the a.p. solutions, results of existence of a.p. solutions, results of existence ...