Cilt 4, Sayı 4, Aralık 2006

Permanent URI for this collectionhttps://hdl.handle.net/11413/327

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Browsing Cilt 4, Sayı 4, Aralık 2006 by Subject "bubbles"

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    Coexisting Attractors In A Autonomous 4ᵗʰ Order, Non Linear, Electric Circuit
    (İstanbul Kültür Üniversitesi Yayınları, 2006-12) Stouboulos, Ioannis N.
    In this paper we have studied the dynamic behavior of a non driven electric circuit of 4th order with two active elements, one linear negative conductance & one non linear resistür ofN-type exhibiting a symmetrical piecewise linear v-i characteristic. The resistor Ri serves as the control parameter of the system. We have observed formation of "bubbles" for some initial conditions. In a narrow region of Ri values what has been observed is antimonotonicity in the bifurcation diagram, different routes to chaos via period doubling sequences and reverse period doubling and transition from periodic to quasi-periodic and finally to chaos. We have also studied the dependence of circuit behavior on the initial conditions.
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    Reverse Period Doublings In A 3ᴿᴰ Order Nonlinear And Autonomous Electric Circuit
    (İstanbul Kültür Üniversitesi Yayınları, 2006-12) Kyprianidis, Ioannis M.; Fotiadou, Maria E.
    We have studied the dynamics of Chua's canonical circuit, when the v-i characteristic of the nonlinear resistor of the circuit is a smooth cubic function. Unlike the monotone bifurcation behavior of the members of Chua' s circuit family with a piecewise linear resistor, reverse period doublings, as a parameter of the circuit is varied in a monotone way, have been observed in the circuit we have studied. Dynamics of the circuit is very sensitive to initia\ conditions, as chaotic attractors coexist with period-l limit cycles.