Sharif Digital Repository

Canard, first observed in Van der Pol oscillations, is a typical phenomenon in oscillatory systems. Canard is also observed in many oscillatory systems such as electrical circuits and neurons. In many fields of science and engineering there are complex oscillations that exhibit canard for certain values of parameters. These three dimensional systems exhibit complex oscillatory behavior never observed in two dimensional dynamics. Some of these systems are chaotic for certain parameter values. It seems than in oscillatory systems canards can make complex behavior. Several methods such as the singular perturbation theory have been used to study this complexity. In this project, we study canard... 

Chaotic behavior takes place in different physical systems such as chemical reactors. In this thesis, dynamical behavior of chemical reactors in which polymerization or series reactions take place has been considered. It has been shown that these reactors have chaotic dynamics under special condition. Two reactors of the second type (with series reactions) for cases of known and unknown parameters have been synchronized by a control method and stability of the proposed scheme has been established by the Lyapunov stability theorem. Simulation results show the effectiveness of proposed method. Since concentration measurement is difficult and expensive, an observer has been used for... 

In this thesis, chaotification of dynamic systems in general and chaotification via full state linear feedback are investigated particularly. Studying chaotification is a problem over investigating dynamics of chaos and controlling it, so studying this problem needs to have some general information about chaos and its dynamics. Because, this is a new case, researches in this field are not enough and actually, there is no paper on application of chaotification. Reviewing literature in this field shows that in solving problems of chaotification, there is no notice on applications and ability to apply it on physical systems. So one of the most important aims of this thesis, is to find an...