The celebrated Takens' embedding theorem concerns an attractor of a dynamical system in Euclidean space appropriate dimension through generic delay-observation map. also establishes topological conjugacy. In this paper, we show how arbitrary sequence can be mapped into another as attractive solution nonautonomous system. Such mapping entails conjugacy and between the spaces. This result is not ...

We perform a dynamical system analysis of Myrzakulov or $F(R,T)$ gravity, which is subclass affinely connected metric theories, where ones uses specific but nonspecial connection that allows for nonzero curvature and torsion simultaneously. consider two classes models, extract the critical points, examine their stability properties alongside physical features. In class 1 possess $\mathrm{\ensur...

In this paper we introduce some stability criteria for impulsive fuzzy system of differential equations with finite delay in states. Firstly, a new comparison principle for fuzzy differential system compared to crisp ordinary differential equation, based on a notion of upper quasi-monotone nondecreasing, in N dimentional state space is presented. Furthermore, in order to analyze the stability o...

This work focuses on the dynamical behavior of carbon nanotubes, including vibration, wave propagation and fluid-structure interaction. In the present research, transverse vibration of nano fluid conveying carbon nanotubes is investigated. To this end, based on the nonlocal and strain-inertia gradient continuum elasticity theories and by using rod and Euler-Bernoulli beam models, the system’s d...

In some aerospace vehicles, the tracking sensors which act in a tracking loop as stabilizer are mounted on a two degree of freedom gyro. The gyro must align its rotor axis with the line of sight in order to remove tracking errors. The tracking precision and sensitivity are functions of the gyros performance. One of the main factors in reducing the precision and producing instabilities is nutati...