Çok modlu kaotik davranışların benzetimi ve gerçekleştirilmesi

Bu çalışmada, genelleştirilmiş Chua devresi denklemleri kullanılarak n+n scroll çekici adı verilen hem x- hem de y=-ax+b doğrusu boyunca oluşan kaotik davranışların benzetimi yapılmıştır. Benzetimde, x- ve y-durum değişkenleri tarafından kontrol edilen çok kırılma noktalı parçalı doğrusal iki tane özdeş eleman kullanılmıştır. x- durum uzay değişkeni tarafından kontrol edilen parçalı doğrusal eleman sistemden çıkartılmak suretiyle x- ekseni boyunca oluşan kaotik çekiciler yok edilmiştir. y=-x doğrusu boyunca oluşan yeni davranışa iki boyutlu n- scroll çekici adı verilmiştir. Benzetim sonuçları edilen deneysel sonuçlarla doğrulanmıştır. Ayrıca, Pecora ve Carroll senkronizasyon tekniği benzetimi yapılan davranışlara uygulanmış ve her iki kaotik sistemin senkron çalışabildiği faz uzay diyagramları çizdirilerek gösterilmiştir.

Simulation and realization of the multi-mode chaotic behaviors

In this study, the simulation of chaotic behaviors consisted of the both on x-axis and through y=-ax+b line, called as n+n scroll attractors, are realized by using generalized Chua circuit equations. In the simulation duration, two identical piece-wise linear elements controlled by x- and y- state space variables are employed. Chaotic attractors constituted on the x-axis are eliminated by removing piece-wise linear element controlled by x-state variable. Novel behavior constituted through y=-x line is called as 2D N-scroll chaotic attractors by us. Simulation results are verified with experimental results. Furthermore, Pecora and Carroll synchronization technique is applied to simulated behaviors and synchronous working ability of both chaotic systems are depicted by drawing phase-space diagram.

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