Lyapunov analysis of the chaotic colpitts oscillator

Ivana Vasiljević, Aleksandra Lekić, Dusan M Stipanovic

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, chaotic behavior of the Colpitts oscillator is studied and analyzed. The analyses consider the locally unstable behavior based on the linearization around the equilibrium and the globally bounded stability, which guarantees that the trajectories converge to an attractive and bounded set. The attractive set for the Colpitts oscillator is determined and characterized using Lyapunov analyses and an appropriate quadratic Lyapunov function. The theoretical results are accompanied by a representative simulation.

Original languageEnglish (US)
Title of host publication2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728103976
DOIs
StatePublished - Jan 1 2019
Event2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Sapporo, Japan
Duration: May 26 2019May 29 2019

Publication series

NameProceedings - IEEE International Symposium on Circuits and Systems
Volume2019-May
ISSN (Print)0271-4310

Conference

Conference2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019
CountryJapan
CitySapporo
Period5/26/195/29/19

Fingerprint

Lyapunov functions
Linearization
Trajectories

Keywords

  • Chaos
  • Colpitts oscillator
  • Lyapunov analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Vasiljević, I., Lekić, A., & Stipanovic, D. M. (2019). Lyapunov analysis of the chaotic colpitts oscillator. In 2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Proceedings [8702567] (Proceedings - IEEE International Symposium on Circuits and Systems; Vol. 2019-May). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISCAS.2019.8702567

Lyapunov analysis of the chaotic colpitts oscillator. / Vasiljević, Ivana; Lekić, Aleksandra; Stipanovic, Dusan M.

2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. 8702567 (Proceedings - IEEE International Symposium on Circuits and Systems; Vol. 2019-May).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Vasiljević, I, Lekić, A & Stipanovic, DM 2019, Lyapunov analysis of the chaotic colpitts oscillator. in 2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Proceedings., 8702567, Proceedings - IEEE International Symposium on Circuits and Systems, vol. 2019-May, Institute of Electrical and Electronics Engineers Inc., 2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019, Sapporo, Japan, 5/26/19. https://doi.org/10.1109/ISCAS.2019.8702567
Vasiljević I, Lekić A, Stipanovic DM. Lyapunov analysis of the chaotic colpitts oscillator. In 2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2019. 8702567. (Proceedings - IEEE International Symposium on Circuits and Systems). https://doi.org/10.1109/ISCAS.2019.8702567
Vasiljević, Ivana ; Lekić, Aleksandra ; Stipanovic, Dusan M. / Lyapunov analysis of the chaotic colpitts oscillator. 2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. (Proceedings - IEEE International Symposium on Circuits and Systems).
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