The most important method for behavior recognition of recurrent maps is to plot BIFURCATION DIAGRAM. In conventional method used for plotting BIFURCATION DIAGRAM, a couple of time series for different values of model parameter have been generated and these points have been plotted with due respect to it after transient state. It does not have enough accuracy necessary for period detection and essential for discrimination between long periodic behaviors from chaotic behaviors; on the other hand because of being 2-dimensinal, it will not be possible to investigate the effect if the initial condition is in the basin of attraction. In this research, a new BIFURCATION DIAGRAM is presented which is called: Qualitative BIFURCATION DIAGRAM (QBD). QBD provides accurate determination of periodicity. Results of our algorithm implementation on logistic map, represents its ability on determining long periods and period windows. BIFURCATION DIAGRAM of logistic map does not obey mosaic tiling patterns (patterns that are created by arrangement not interaction) as a disciplinein addition to having the dynamic order. Some benefits of QBD are: long period discrimination, period window detection, computation time reduction, period presentation instead of amplitude show. In the following we have an analytical survey to Lyapunov exponent – as a usual measurement tool for chaotic behavior – and important notes are expressed. Finally, Recurrent Quantification Analysis (RQA) and QBD are compared.

The dilapidated structures of Isfahan face a complex combination of social, economic and environmental problems,That urban regeneration takes steps to solve these problems by using the tools of empowering a cohesive community and promoting the active participation of citizens. This process in the context of cyberspace seeks to facilitate communication between citizens and officials,Electronic authorization is introduced. One of the methods of implementing the electronic authorization process in cyberspace is the use of requirements engineering method, which is introduced based on the identification of requirements and its analysis, system users and their activities. This study has been compiled with the aim of achieving the analysis of users' needs and their activities in order to realize the process of electronic authorization based on the Use Case. Based on this, this article is a research with features such as inductive, applied and descriptive-analytical, which determines the system requirements by using the jury method and content analysis method using Atlas ti software. Requirements analysis shows that users of the electronic authorization process system, including residents of worn-out tissues of Isfahan, facilitator, technical expert and trainer, are responsible and the activities of each based on the authorization process and requirements in Visual Paradigm software as a use case DIAGRAM,Displayed as Integrated Modeling Language (UML). The DIAGRAMs used are a demonstration of how the relationship between the user and the activities in the cyclical system of the electronic empowerment process for the residents of the worn-out urban tissues of Isfahan.

This paper consists of two sections: control and stabilizing method for chaotic behaviour of converter is introduced in first section of this paper for the removal of harmonics caused by the chaotic behaviour in current converter. For this work, a Time-Delayed Feedback Controller (TDFC) control method for stability chaotic behaviour of buck converter for switching courses in current control mode is presented. This behaviour is demonstrated by presenting a piecewise linear discrete map for this converter and then combining the feedback equation to obtain the overall equation of the converter. A simple time-delay feedback control method is applied to stabilize the Unstable Periodic Orbits (UPOs). In second section the effect of a parallel Metal Oxide Arrester (MOV) on the ferroresonance oscillations of the transformer is studied. It is expected that the arresters generally cause ferroresonance drop out. Simulation has been done on a three phase power transformer with one open phase. Effect of varying input voltage has been studied. The simulation results reveal that connecting the arrester to the transformer poles, exhibits a great mitigating effect on ferroresonant over voltages. Phase plane along with BIFURCATION DIAGRAMs are also presented. Significant effect on the onset of chaos, the range of parameter values that may lead to chaos and magnitude of ferroresonant voltages has been obtained, shown and tabulated.

In this paper, the chaotic dynamic analysis along with chaos controller of an active suspension in vehicle has been studied. The unstable periodic orbits of the system are stabilized using the developed delay feedback control algorithm based on the fuzzy sliding mode system. Firstly, the equations of model are derived via Newton-Euler rules and then, power spectrum density and BIFURCATION DIAGRAMs have been used to confirm chaos in the system. Variations of the control parameters in the BIFURCATION DIAGRAMs demonstrate the changes of system behavior from the periodic to the irregular chaotic responses. Finally, to eliminate the chaos in the vertical dynamics of vehicle, a novel fuzzy sliding delay feedback control algorithm is developed on the active suspension. Using fuzzy logic, the controller gain of the sliding delay feedback control is online estimated that is caused to reject the chattering phenomenon in the sliding mode algorithm beside the improvement of the responses. Simulation results of the control system depict a reduction of settling time and energy consumption along with eliminating the overshoots and chaotic vibrations.