Given K real d-by-d nonsingular matrices S 1, . . . , S K , by extending the well-known Li-Yorke chaotic description of a deterministic nonlinear dynamical system to a discrete-time linear inclusion dynamical system: xn ∈ {S k xn−1}1≤k≤K with x0 ∈ Rd and n ≥ 1, we study the chaotic characteristic of the state trajectory (xn(x0, σ))n≥1, governed by a switching law σ : N → {1, . . . , K}, for any...

Since the empirical characteristic function (ECF) is the Fourier transform of the empirical distribution function, it retains all the information in the sample but can overcome difficulties arising from the likelihood. This paper discusses an estimation method via the ECF for strictly stationary processes. Under some regularity conditions, the resulting estimators are shown to be consistent and...

Consider two ordinary elliptic curves E,E′ defined over a finite field Fq, and suppose that there exists an isogeny ψ between E and E′. We propose an algorithm that determines ψ from the knowledge of E, E′ and of its degree r, by using the structure of the `-torsion of the curves (where ` is a prime different from the characteristic p of the base field). Our approach is inspired by a previous a...

Many cell types can bias their direction of locomotion by coupling to external cues. Characteristics such as how fast a cell migrates and the directedness of its migration path can be quantified to provide metrics that determine which biochemical and biomechanical factors affect directional cell migration, and by how much. To be useful, these metrics must be reproducible from one experimental s...

In this paper a new hardware method for fast and low power fractal coding is presented. The introduced method is based on binary classification of domain and range blocks. The technique not only reduces power consumption and increases processing speed but also has minimal effect on the degradation of the output result compared to the available fractal techniques. In order to show the functional...

We consider plane wave time-domain scattering from a fixed target in the presence of a rough (random) surface with application to ground penetrating radar. The timedomain scattering data are computed via a two-dimensional (2-D) finite-difference time-domain (FDTD) algorithm. In addition to examining the statistics of the time-domain fields scattered from such a surface, we investigate subsurfac...

We consider the codifference and the normalized codifference function as dependence measures for stationary processes. Based on the empirical characteristic function, we propose estimators of the codifference and the normalized codifference function.We showconsistency of the proposed estimators,where the underlyingmodel is the ARMAwith symmetric α-stable innovations, 0 < α ≤ 2. In addition, we ...

This paper presents comparison among methods of determination of the characteristic polynomial coefficients. First, the resultant systems from the methods are compared based on frequency criteria such as the closed loop bandwidth, gain and phase margins. Then the step responses of the resultant systems are compared on the basis of the transient behavior criteria including overshoot, rise time, ...

in this paper, the time-like hyperruled surfaces in the minkowski 4-space and their algebraicinvariants are worked. also some characteristic results are found about these algebraic invariants.

An assessment of time-domain reflectometry (TDR) for measuring the characteristic impedance ZTL of transmission lines is performed. The assessment includes the accuracy of measuring ZTL as a function of TDR electrical impedance Zo, the ability to measure impedance perturbations as a function of ZTL and Zo, and the ability to differentiate between transmission lines of similar ZTL. The informati...