3 research outputs found
Properties Chaotic of Rabinovich-Fabrvikant Equations
درسنا معادله رابينوفيتش ودرسنا الخواص العامه لها ووجدنا مناطق التقلص والتوسيع وكذلك وجدنا خواصها الفوضوية حيث برهنا أنها تحتوي على تبولوجي انتروبي موجبا وتمتلك حساسية عند الشروط الابتدائية وإنها متعديه باستخدام برنامج ماتلاب وبرهنا توسيع ليبانوف الموجب وأخيرا درسنا بعد ليبانوف لهذه ألدالهWe give a new map named (Rabinovich-Fabrvikant equations) and find five fixed points we study only one fixed point x0(0,0,0), and all general properties of them We prove that the contracting and expanding area of this point , thought the study of the chaotic of the point by use the Wiggins defined and we proof that the lyapunov exponent of the point (0,0,0) is positive .We use matlab program to show sensitive dependence on the initial conditions and transitivity of (R-F)
Some Chaotic Properties of Ikeda Map
We study the dynamical system of Ikeda map on three dimension, we find some the general properties, and we show some chaotic properties of it. We prove the Lypaunov exponent of Ikeda map is positive and Ikeda map has sensitivity dependence to initial condition. Finally we use the Matlab program to draw the sensitivity of Ikeda map
Some Properties of Chaotic Modified of Bogdanov Map
In this research to the modified dynamics of Bogdanov's map studied, and the found sensitivity to the initial conditions of the modified map found as well as the Lyapunov exponent .the general characteristics of the map by the diffeomorpism. Finally we boosted my research with matlab to find chaotic area