H. Kheiri
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
[ 1 ] - Numerical approach for solving a class of nonlinear fractional differential equation
It is commonly accepted that fractional differential equations play an important role in the explanation of many physical phenomena. For this reason we need a reliable and efficient technique for the solution of fractional differential equations. This paper deals with the numerical solution of a class of fractional differential equation. The fractional derivatives are described...
[ 2 ] - Anti-Synchronization of Complex Chaotic T-System Via Optimal Adaptive Sliding-Mode and Its Application In Secure Communication
In this paper, an optimal adaptive sliding mode controller is proposed for anti-synchronization of two identical hyperchaotic systems. We use hyperchaotic complex T-system for master and slave systems with unknown parameters in the slave system. To construct the optimal adaptive sliding mode controller, first a simple sliding surface is designed. Then, the optimal adaptive sliding mode controll...
[ 3 ] - Dynamical behavior and synchronization of chaotic chemical reactors model
In this paper, we discuss the dynamical properties of a chemical reactor model including Lyapunov exponents, bifurcation, stability of equilibrium and chaotic attractors as well as necessary conditions for this system to generate chaos. We study the synchronization of chemical reactors model via sliding mode control scheme. The stability of proposed method is proved by Barbalate’s lemma. Numeri...
[ 4 ] - Anti-synchronization and synchronization of T-system
In this paper, we discuss the synchronization and anti-synchronization of two identical chaotic T-systems. The adaptive and nonlinear control schemes are used for the synchronization and anti-synchronization. The stability of these schemes is derived by Lyapunov Stability Theorem. Firstly, the synchronization and anti-synchronization are applied to systems with known parameters, then to systems...
[ 5 ] - Effects of ionic parameters on behavior of a skeletal muscle fiber model
All living cells have a membrane which separates inside the cell from it's outside. There is a potential difference between inside and outside of the cell. This potential difference will change during an action potential. It is quite common to peruse action potentials of skeletal muscle fibers with the Hodgkin-Huxley model. Since Hodgkin and Huxley summarized some controlling currents like inwa...
[ 6 ] - Dynamical behavior and synchronization of hyperchaotic complex T-system
In this paper, we introduce a new hyperchaotic complex T-system. This system has complex nonlinear behavior which we study its dynamical properties including invariance, equilibria and their stability, Lyapunov exponents, bifurcation, chaotic behavior and chaotic attractors as well as necessary conditions for this system to generate chaos. We discuss the synchronization with certain and uncerta...
[ 7 ] - Chaotic dynamics and synchronization of fractional order PMSM system
In this paper, we investigate the chaotic behaviors of the fractional-order permanent magnet synchronous motor (PMSM) system. The necessary condition for the existence of chaos in the fractional-order PMSM system is deduced and an active controller is developed based on the stability theory for fractional systems. The presented control scheme is simple and flexible, and it is suitable both fo...
[ 8 ] - Analytical solutions for the fractional Fisher's equation
In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified...
[ 9 ] - استفاده از روش کم ترین مربعات در ایجاد مدل رقومی بارش (DPM)
یکی از مراحل اصلی در مطالعات منابع آب برآورد توزیع مکانی بارندگی در مقیاس‌های زمانی متفاوت می‌باشد. مطالعه بارش بهعنوان یک عنصر بسیار مهم و رکن اساسی در مطالعات بیلان آب و اساس برنامه‌ریزی‌های منابع طبیعی هر کشوری شناخته می‌شود. بهدلیل کمبود ایستگاه‌های باران‌سنجی و نقطه‌ای بودن این ایستگاه‌ها، استفاده از مدلی که علاوه بر مقادیر بارش ایستگاه‌ها از عوامل دیگری همچون توپوگرافی، رطوبت و جهت‌شیب...
[ 10 ] - A new reduced mathematical model to simulate the action potential in end plate of skeletal muscle fibers
Usually mathematicians use Hodgkin-Huxley model or FitzHug-Nagumo model to simulate action potentials of skeletal muscle fibers. These models are electrically excitable, but skeletal muscle fibers are stimulated chemically. To investigate skeletal muscle fibers we use a model with six ordinary differential equations. This dynamical system is sensitive to initial value of some variables so it is...
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