Nonlinear analysis of the Colpitts oscillator and applications to design

被引：191

作者：

Maggio, GM ^{[1
]}

De Feo, O

Kennedy, MP

机构：

[1] Univ Calif San Diego, Inst Nonlinear Sci, La Jolla, CA 92093 USA

[2] Natl Univ Ireland Univ Coll Dublin, Dept Elect & Elect Engn, Dublin 4, Ireland

[3] Swiss Fed Inst Technol, EPFL, Dept Elect Engn, CH-1015 Lausanne, Switzerland

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 1999年 / 46卷 / 09期

关键词：

bifurcations; chaos; coexistence of solutions; Colpitts oscillator; continuation methods;

D O I：

10.1109/81.788813

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper reports a methodological approach to the analysis and design of sinusoidal oscillators based on bifurcation analysis. The simple Colpitts oscillator is taken as an example to demonstrate this nonlinear approach for both the nearly sinusoidal and chaotic modes of operation. In particular, it is shown how regular and irregular (chaotic) oscillations can be generated, depending on the circuit parameters.

引用

页码：1118 / 1130

页数：13

共 24 条

[1] A frequency method for predicting limit cycle bifurcations [J].

Basso, M ;

Genesio, R ;

Tesi, A .

NONLINEAR DYNAMICS, 1997, 13 (04) :339-360

[2] DETERMINATION OF DIFFERENT CONFIGURATIONS OF FOLD AND FLIP BIFURCATION CURVES OF A ONE OR TWO-DIMENSIONAL MAP [J].

Carcasses, Jean-Pierre .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (04) :869-902

[3] NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-2 HOMOCLINIC BIFURCATIONS [J].

CHAMPNEYS, AR ;

KUZNETSOV, YA .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (04) :785-822

[4]

CHUA LO, 1992, AEU-INT J ELECTRON C, V46, P250

[5]

Doedel E., 1986, APPL MATH

[6] NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I) BIFURCATION IN FINITE DIMENSIONS [J].

Doedel, Eusebius ;

Keller, Herbert B. ;

Kernevez, Jean Pierre .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1991, 1 (03) :493-520

[7]

FREIRE E, 1996, P NONL DYN EL SYST N, P129

[8] BIFURCATION PHENOMENA NEAR HOMOCLINIC SYSTEMS - A 2-PARAMETER ANALYSIS [J].

GASPARD, P ;

KAPRAL, R ;

NICOLIS, G .

JOURNAL OF STATISTICAL PHYSICS, 1984, 35 (5-6) :697-727

[9] A HARMONIC BALANCE APPROACH FOR CHAOS PREDICTION: CHUA'S CIRCUIT [J].

Genesio, R. ;

Tesi, A. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1992, 2 (01) :61-79

[10] Predicting chaos through an harmonic balance technique: An application to the time-delayed Chua's circuit [J].

Gilli, M ;

Maggio, GM .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1996, 43 (10) :872-874

← 1 2 3 →