a chaos control method suggested by erjaee has been reviewed. it has been shown that thistechnique can be applied in various evolutionary systems of 2-dimensional types. the method has beenapplied for cases of the henon map, as well as burger’s map. the limitations of the control techniquehave also been discussed by considering the standard map and the gumowski-mira map. the resultsobtained thr...

Contraction theory is an analytical tool to study differential dynamics of a non-autonomous (i.e., time-varying) nonlinear system under contraction metric defined with uniformly positive definite matrix, the existence which results in necessary and sufficient characterization incremental exponential stability multiple solution trajectories respect each other. By using squared length as Lyapunov...

Analytical gas-permeation models for predicting the separation process across  membranes (exit compositions and area requirement) constitutes an important and necessary step in understanding the overall performance of  membrane modules. But, the exact (numerical) solution methods suffer from the complexity of the solution. Therefore, solutions of nonlinear ordinary differential equations th...

Based on an asymptotic analysis of the contraction mapping (CM) method of Li and Kedem (IEEE Trans. Inform. Theory, vol. 39, pp. 989–998, 1993), a bandwidth shrinkage rule is proposed for fast and accurate estimation of the frequencies of multiple sinusoids from noisy measurements. The CM frequency estimates are defined as the fixed-points of a contractive mapping formed by the lag-one autocorr...

The theory of modular spaces was initiated by Nakano 1 in 1950 in connection with the theory of order spaces and redefined and generalized by Musielak and Orlicz 2 in 1959. These spaces were developed following the successful theory of Orlicz spaces, which replaces the particular, integral form of the nonlinear functional, which controls the growth of members of the space, by an abstractly give...

The purpose of this paper is to study the higher order asymptotic distributions of the eigenvalues associated with a class of Sturm-Liouville problem with equation of the form w??=(?2f(x)?R(x)) (1), on [a,b, where ? is a real parameter and f(x) is a real valued function in C2(a,b which has a single zero (so called turning point) at point 0x=x and R(x) is a continuously differentiable function. ...

In this paper, we present a new concept of random contraction and prove a coupled random fixed point theorem under this condition which generalizes stochastic Banach contraction principle. Finally, we apply our contraction to obtain a solution of random nonlinear integral equations and we present a numerical example.

‎In this paper we focus on the Cauchy problem for the generalized‎ ‎IBq equation with damped term in $n$-dimensional space‎. ‎We establish the global existence and decay estimates of solution with $L^q(1leq qleq 2)$ initial value‎, ‎provided that the initial value is suitably small‎. ‎Moreover‎, ‎we also show that the solution is asymptotic to the solution $u_L$ to the corresponding linear equa...

background: accidents are the second reason for mortality and morbidity in iran. among them, brain injuries are the most important damage. clarification of the effects of brain injuries on different body systems will help physicians to prioritize their treatment strategies. in this study, the effect of pure brain trauma on the cardiovascular system and lungs 24 hours post trauma was assessed. m...

We propose a new approach to mixed-frequency regressions in high-dimensional environment that resorts Group Lasso penalization and Bayesian estimation inference. In particular, improve the prediction properties of model its sparse recovery ability, we consider with spike-and-slab prior. Penalty hyper-parameters governing shrinkage are automatically tuned via an adaptive MCMC algorithm. establis...