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Numerical Investigation and Experimental Demonstration of Chaos from Two-Stage Colpitts Oscillator in the Ultrahigh Frequency Range
Authors:S Bumelien?  A Tama?evi?ius  G Mykolaitis  A Baziliauskas  E Lindberg
Institution:1. Semiconductor Physics Institute, A. Go?tauto 11, Vilnius, LT-01108, Lithuania
2. Department of Physics, Faculty of Fundamental Sciences, Vilnius Gediminas Technical University, Saul?tekio 11, Vilnius, LT-10223, Lithuania
3. Department of Signal Processing, Faculty of Telecommunications and Electronics, Kaunas University of Technology, Student 50, Kaunas, LT-51368, Lithuania
4. ?rsted DTU Department, 348 Technical University of Denmark, ?rsted Plads, Kgs. Lyngby, DK-2800, Denmark
Abstract:A hardware prototype of the two-stage Colpitts oscillator employing the microwave BFG520 type transistors with the threshold frequency of 9 GHz and designed to operate in the ultrahigh frequency range (300–1000 MHz) is described. The practical circuit in addition to the intrinsic two-stage oscillator contains an emitter follower acting as a buffer and minimizing the influence of the load. The circuit is investigated both numerically and experimentally. Typical phase portraits, Lyapunov exponents, Lyapunov dimension and broadband continuous power spectra are presented. The main advantage of the two-stage chaotic Colpitts oscillator against its classical single-stage version is in the fact that operating in a chaotic mode it exhibits higher fundamental frequencies and smoother power spectra.
Keywords:Chaos  Colpitts oscillator  nonlinear dynamics  ultrahigh frequency
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