Fully Generalized State Model of Optimized Third-Order Dynamical Systems of Class C

Robust stabilization of a class of three-dimensional uncertain fractional-order non-autonomous systems

  This paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. In this regard, a single input active control approach is proposed for control and stabilization of three-dimensional uncertain fractional-order systems. The robust controller is designed on the basis of fractional Lyapunov stability theory. Furthermore, the effects of model uncertai...

Mathematical modeling of optimized SIRS epidemic model and some dynamical behavior of the solution

In this paper, a generalized mathematical model of spread of infectious disease as SIRS epidemic model is considered as a nonlinear system of differential equation. We prove that for positive initial conditions the resulting equivalence system has positive solution and under some hypothesis, this system with initial positive condition, has a positive $T$-periodic solution which is globally asym...

Dynamical Systems on Hilbert C*-Modules

آستانه پخش شایعه در شبکه‌های همگن اجتماعی

 The widespread use of the social media has recently created a lot of interest in research on human interactions, and how ideas propagate among individuals. We review the standard rumor model adopted from the literature. These models assume that people spreading the rumor (spreaders) keep spreading it, and those who hear the rumor (ignorant) can become a spreader with a certain probability. We ...

LI-YORKE CHAOTIC GENERALIZED SHIFT DYNAMICAL SYSTEMS

‎In this text we prove that in generalized shift dynamical system $(X^Gamma,sigma_varphi)$‎ ‎for finite discrete $X$ with at least two elements‎, ‎infinite countable set $Gamma$ and‎ ‎arbitrary map $varphi:GammatoGamma$‎, ‎the following statements are equivalent‎: ‎ - the dynamical system $(X^Gamma,sigma_varphi)$ is‎ Li-Yorke chaotic;‎ - the dynamical system $(X^Gamma,sigma_varphi)$ has‎ an scr...