large panel precast structures are analyzed based on the connection rigidity. however, the connections undergo nonlinear and inelastic response, when subjected to seismic loads. thus, to study the actual behavior of structure, the connection nonlinearity should be implemented in the joints. in this paper, three conventional connection types are modeled based on the envelope of their cyclic resp...

in this paper, the homotopy analysis method (ham) is considered to obtain the solution of the schrodinger equation with a power law nonlinearity. for this purpose, a theorem is proved to show the convergence of the series solution obtained from the proposed method. also, an example is solved to illustrate the eciency of the mentioned algorithm and the h-curve is plotted to determine the region...

The aim of this short note is to answer a question by Guoliang Yu of whether the group EL3(Z〈x, y〉), where Z〈x, y〉 is the free (non-commutative) ring, has any faithful finite dimensional linear representations over a field. Recall that for every (associative unitary) ring R the group ELn(R) is the subgroup of GLn(R) generated by all n × n-elementary matrices xij(r) = Id + reij (r ∈ R, 1 ≤ i 6= ...

In this article we provide a review of the literature with respect to the e$cient markets hypothesis and chaos. In doing so, we contrast the martingale behavior of asset prices to nonlinear chaotic dynamics, discuss some recent techniques used in distinguishing between probabilistic and deterministic behavior in asset prices, and report some evidence. Moreover, we look at the controversies that...

An important question in designing cryptographic functions including substitution boxes S boxes is the relationships among the various nonlinearity criteria each of which indicates the strength or weakness of a cryptographic function against a particular type of cryptanalytic attacks In this paper we reveal for the rst time interesting connections among the strict avalanche characteristics di e...

We consider a rather general class of convection–diffusion equations, involving dissipation (of possibly fractional order) which competes with quadratic nonlinearities on the regularity of the overall equation. This includes as prototype models, Burgers’ equation, the Navier–Stokes equations, the surface quasigeostrophic equations and the Keller–Segel model for chemotaxis. Here we establish a P...

A Bose-Einstein condensate can be well described by an order parameter called condensate wavefunction. If Bose-Einstein condensation occurs in a superposed single particle state, the condensate wavefunction is correspondingly superposed. Likewise, if two coupled distinguishable or non-overlapping Bose systems condense in an entangled single particle pair state, the condensate wavefunction is co...

Nonlinearities in the drift and diffusion coefficients influence temporal dependence in scalar diffusion models. We study this link using two notions of temporal dependence: β − mixing and ρ − mixing. We show that β − mixing and ρ − mixing with exponential decay are essentially equivalent concepts for scalar diffusions. For stationary diffusions that fail to be ρ−mixing, we show that they are s...

Within a decade of fruitful development, metamaterials became a prominent area of research, bridging theoretical and applied electrodynamics, electrical engineering and material science. Being man-made structures, metamaterials offer a particularly useful playground to develop interdisciplinary concepts. Here we demonstrate a novel principle in metamaterial assembly which integrates electromagn...

Experimental limit on the blue shift of the frequency of light implied by a q-nonlinearity Abstract We discuss the implications of an experiment in which the frequencies of two laser beams are compared for different intensities in order to search for a dependence of the frequency of light on its intensity. Since no such dependence was found it is possible to place bounds on a description of the...