Lyapunov analysis of the chaotic colpitts oscillator

Ivana Vasiljević; Aleksandra Lekić; Dušan Stipanović

doi:10.1109/ISCAS.2019.8702567

Lyapunov analysis of the chaotic colpitts oscillator

Ivana Vasiljević, Aleksandra Lekić, Dušan Stipanović

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

2 Citations (Scopus)

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 language	English
Title of host publication	2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Volume	2019-May
ISBN (Electronic)	9781728103976
DOIs	https://doi.org/10.1109/ISCAS.2019.8702567
Publication status	Published - 1 Jan 2019
Externally published	Yes
Event	2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Sapporo, Japan Duration: 26 May 2019 → 29 May 2019

Conference

Conference	2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019
Country/Territory	Japan
City	Sapporo
Period	26/05/19 → 29/05/19

Keywords

Chaos
Colpitts oscillator
Lyapunov analysis

Access to Document

10.1109/ISCAS.2019.8702567

Cite this

@inproceedings{7c5a5ff3092849f3a08e7b2631d13f17,

title = "Lyapunov analysis of the chaotic colpitts oscillator",

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.",

keywords = "Chaos, Colpitts oscillator, Lyapunov analysis",

author = "Ivana Vasiljevi{\'c} and Aleksandra Leki{\'c} and Du{\v s}an Stipanovi{\'c}",

year = "2019",

month = jan,

day = "1",

doi = "10.1109/ISCAS.2019.8702567",

language = "English",

volume = "2019-May",

booktitle = "2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

address = "United States",

note = "2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 ; Conference date: 26-05-2019 Through 29-05-2019",

}

Vasiljević, I, Lekić, A & Stipanović, D 2019, Lyapunov analysis of the chaotic colpitts oscillator. in 2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Proceedings. vol. 2019-May, 8702567, Institute of Electrical and Electronics Engineers (IEEE), 2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019, Sapporo, Japan, 26/05/19. https://doi.org/10.1109/ISCAS.2019.8702567

Lyapunov analysis of the chaotic colpitts oscillator. / Vasiljević, Ivana; Lekić, Aleksandra; Stipanović, Dušan.
2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Proceedings. Vol. 2019-May Institute of Electrical and Electronics Engineers (IEEE), 2019. 8702567.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Lyapunov analysis of the chaotic colpitts oscillator

AU - Vasiljević, Ivana

AU - Lekić, Aleksandra

AU - Stipanović, Dušan

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - Chaos

KW - Colpitts oscillator

KW - Lyapunov analysis

UR - http://www.scopus.com/inward/record.url?scp=85066809946&partnerID=8YFLogxK

U2 - 10.1109/ISCAS.2019.8702567

DO - 10.1109/ISCAS.2019.8702567

M3 - Conference contribution

AN - SCOPUS:85066809946

VL - 2019-May

BT - 2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Proceedings

PB - Institute of Electrical and Electronics Engineers (IEEE)

T2 - 2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019

Y2 - 26 May 2019 through 29 May 2019

ER -

Lyapunov analysis of the chaotic colpitts oscillator

Abstract

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this