High frequency Colpitts’ oscillator: A simple configuration for chaos generation

Raoul Blaise Wafo Tekam, Jacques Kengne and Germaine Djuidje Kenmoe

Chaos, Solitons & Fractals, 2019, vol. 126, issue C, 351-360

Abstract: This paper introduces a novel four-component-based high frequency chaotic circuit. The proposed circuit is an implicit common-emitter Colpitts oscillator; hitherto the simplest in the realm of bipolar junction transistor based LC (inductor-capacitor) autonomous chaotic circuits. It consists of a single voltage source in series with a resistor, one bipolar junction transistor, an inductor and a single grounded capacitor. Design procedure takes advantage of an intrinsic capacitance of the transistor to complete the resonant tank. The circuit is mathematically modelled with a three-dimensional autonomous system; theoretical analysis of circuit’s model is presented along with numerical and experimental outcomes. Bifurcation diagrams, Lyapunov exponents, phase portraits and time series revealed that the proposed oscillator is capable of generating striking behaviors such as quasi-sinusoidal orbits, limit cycles and chaos. Overall, a good accordance is found between practice and theory. Comparison between the original Colpitts oscillator and the novel one is done to highlight benefits of the latter. The fact that circuit’s parsimony does not impair chaotic features is of particular interest. Beside well known applications of Colpitts oscillators, this parsimonious version is a good candidate for experimental investigations on networked oscillators and academic purposes owing to its simplicity, low-cost and ease offered in implementation.

Keywords: Chaos; Colpitts oscillator; Intrinsic capacitance; Parsimony; Simple configuration (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077919302723
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:126:y:2019:i:c:p:351-360

DOI: 10.1016/j.chaos.2019.07.020

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().