Non-autonomous chaotic analysis of the colpitts oscillator with Lur'e systems

✍ Scribed by Ji-Chyun Liu; Hsi-Chiang Chou; Ming Chou Liao; Yi Shun Ho

• Publisher: John Wiley and Sons
• Year: 2003
• Tongue: English
• Weight: 416 KB
• Volume: 36
• Category: Article
• ISSN: 0895-2477
• DOI: 10.1002/mop.10713

✦ Synopsis

Abstract

This paper presents a non‐autonomous chaotic analysis of the Colpitts oscillator. It is available for injection‐locked and synchronized designs of communication systems. The injected BJT Colpitts oscillator, constructed with Lur'e systems, is simulated and measured in applications. Using the Runge–Kutta algorithm, the phase portrait, time response, and power spectrum are represented with a series of simulation results. The dynamic maps of locking, transition, and normal areas are depicted by measurements of the related frequencies and output powers. Both simulation and measurement identify the amplitudes and frequencies of the injected sinusoidal wave, which affect the chaos in the Colpitts oscillator. © 2003 Wiley Periodicals, Inc. Microwave Opt Technol Lett 36: 175–181, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.10713