Earlier, a model of time series with heavy tails constructed from Gaussian was developed. In the present paper, reverse problem is considered: an estimator copula function built; nonlinear that maps variables to Fréchet maximum domain attraction. The statistical properties this are considered for stationary low rate covariance decay.

Although mathematical models do not fully match reality, robustness of dynamical objects to perturbation helps bridge from theoretical real-world systems. Classical theories structural stability and isolated invariant sets treat qualitative dynamics sufficiently small errors. But they indicate just how large a can become before the behavior our system changes fundamentally. Here we introduce qu...

Transformers are one of the most valuable assets of power systems. Maintenance and condition assessment of transformers has become one of the concerns of researchers due to huge number of transformers has been approached to the end of their lifetimes. Transformer’s lifetime depends on the life of its insulation and the insulation’s life is strongly influenced by its moisture attraction as well....

Let S be the domain of attraction of a computable and asymptotically stable hyperbolic equilibrium point of the non-linear system ẋ = f(x). We show that the problem of determining S is computationally unsolvable. We also present an upper bound of the degree of unsolvability of this problem.

This paper considers the robust stabilization problem for Takagi-Sugeno fuzzy systems with time-varying delays subject to input saturation. The purpose is the design of dynamic anti-windup fuzzy controllers ensuring convergence of all admissible initial states within the domain of attraction. Delay-dependent conditions for the existence of solutions to this problem are obtained. A simulation ex...

Objective: The aim of this study was to compare the experiential avoidance, explicit and implicit attraction beliefs in obese and normal body mass index (BMI) females. Materials and Methods: This was an analytic cross sectional study. About 400 females (between 20-43 years old) were selected from nutrition and obesity clinics by convenience sampling method. The 40 items avoidance questionnaire...

This paper considers some one dimensional reaction diffusion equations driven by a one dimensional multiplicative white noise. The existence of a stochastic travelling wave solution is established, as well as a sufficient condition to be in its domain of attraction. The arguments use stochastic ordering techniques.