Premium
Analyzing chaotic phenomenon in a colpitts oscillator based on Lur's system form and the Hopf bifurcation theorem
Author(s) -
Chou HsiChiang
Publication year - 2006
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.21303
Subject(s) - colpitts oscillator , chaotic , bifurcation , vackář oscillator , microwave , control theory (sociology) , hopf bifurcation , nonlinear system , mathematics , topology (electrical circuits) , engineering , physics , computer science , local oscillator , quantum mechanics , telecommunications , electrical engineering , radio frequency , artificial intelligence , control (management)
In this paper, we analyze the chaotic phenomenon in a Colpitts oscillator. Theoretical analysis identifies the dominant component that affects the accuracy and stability of the Colpitts oscillator, and also derives the bifurcation of the chaotic region of those components. In addition, the period‐doubling bifurcation routes to chaos are observed from the simulation and experimental results. This approach is suitable for any other 3 rd ‐order autonomous nonlinear system. It is believed that future designs of the Colpitts oscillator can benefit from our approach. Furthermore, we also can apply it to design a high‐performance local oscillator for an RF receiver. © Wiley Periodicals, Inc. Microwave Opt Technol Lett 48: 190–195, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21303