Bifurcations of limit cycles in periodically forced nonlinear systems: the harmonic balance approach

C. Piccardi

doi:10.1109/81.285687

Bifurcations of limit cycles in periodically forced nonlinear systems: the harmonic balance approach

IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications ◽

10.1109/81.285687 ◽

1994 ◽

Vol 41 (4) ◽

pp. 315-320 ◽

Cited By ~ 39

Author(s):

C. Piccardi

Keyword(s):

Nonlinear Systems ◽

Limit Cycles ◽

Harmonic Balance ◽

Balance Approach

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Residue harmonic balance approach to limit cycles of non-linear jerk equations

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2011.03.018 ◽

2011 ◽

Vol 46 (6) ◽

pp. 898-906 ◽

Cited By ~ 29

Author(s):

A.Y.T. Leung ◽

Zhongjin Guo

Keyword(s):

Limit Cycles ◽

Harmonic Balance ◽

Balance Approach ◽

Non Linear

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A harmonic balance approach for the qualitative analysis of limit cycles occurring in CNNs

1996 Fourth IEEE International Workshop on Cellular Neural Networks and their Applications Proceedings (CNNA-96) ◽

10.1109/cnna.1996.566508 ◽

2002 ◽

Cited By ~ 1

Author(s):

M. Gilli

Keyword(s):

Qualitative Analysis ◽

Limit Cycles ◽

Harmonic Balance ◽

Balance Approach

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A harmonic balance approach to bifurcation analysis of limit cycles

ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349) ◽

10.1109/iscas.1999.780154 ◽

2003 ◽

Cited By ~ 1

Author(s):

F. Bonani ◽

M. Gilli

Keyword(s):

Bifurcation Analysis ◽

Limit Cycles ◽

Harmonic Balance ◽

Balance Approach

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Harmonic balance approach to limit cycles for nonlinear jerk equations

Journal of Sound and Vibration ◽

10.1016/j.jsv.2006.03.047 ◽

2006 ◽

Vol 297 (1-2) ◽

pp. 243-250 ◽

Cited By ~ 51

Author(s):

H.P.W. Gottlieb

Keyword(s):

Limit Cycles ◽

Harmonic Balance ◽

Balance Approach

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Analysis of stability and bifurcations of limit cycles in Chua's circuit through the harmonic-balance approach

IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications ◽

10.1109/81.780370 ◽

1999 ◽

Vol 46 (8) ◽

pp. 881-890 ◽

Cited By ~ 75

Author(s):

F. Bonani ◽

M. Gilli

Keyword(s):

Limit Cycles ◽

Harmonic Balance ◽

Chua’S Circuit ◽

Chua's Circuit ◽

Balance Approach ◽

Analysis Of Stability ◽

Stability And Bifurcations

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Asynchronous quenching of nonlinear systems exhibiting limit cycles

IEEE Transactions on Automatic Control ◽

10.1109/tac.1968.1098861 ◽

1968 ◽

Vol 13 (2) ◽

pp. 201-202 ◽

Cited By ~ 4

Author(s):

M. Fjeld

Keyword(s):

Nonlinear Systems ◽

Limit Cycles

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Higher Approximation of Steady Oscillations in Nonlinear Systems with Single Degree of Freedom : Suggested Multi-Harmonic Balance Method

Bulletin of JSME ◽

10.1299/jsme1958.24.1616 ◽

1981 ◽

Vol 24 (195) ◽

pp. 1616-1625 ◽

Cited By ~ 11

Author(s):

Hideyuki TAMURA ◽

Yoshihiro TSUDA ◽

Atsuo SUEOKA

Keyword(s):

Nonlinear Systems ◽

Harmonic Balance ◽

Harmonic Balance Method ◽

Degree Of Freedom ◽

Balance Method ◽

Single Degree Of Freedom ◽

Single Degree ◽

Steady Oscillations

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A symbolic algorithm for the automatic computation of multitone-input harmonic balance equations for nonlinear systems

Nonlinear Dynamics ◽

10.1007/s11071-008-9390-y ◽

2008 ◽

Vol 56 (1-2) ◽

pp. 179-191 ◽

Cited By ~ 1

Author(s):

D. Akgün ◽

İ. Çankaya ◽

J. C. Peyton Jones

Keyword(s):

Nonlinear Systems ◽

Harmonic Balance ◽

Balance Equations ◽

Automatic Computation ◽

Symbolic Algorithm

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A new treatment for predicting the self-excited vibrations of nonlinear systems with frictional interfaces: The Constrained Harmonic Balance Method, with application to disc brake squeal

Journal of Sound and Vibration ◽

10.1016/j.jsv.2008.06.050 ◽

2009 ◽

Vol 319 (3-5) ◽

pp. 1175-1199 ◽

Cited By ~ 58

Author(s):

N. Coudeyras ◽

J.-J. Sinou ◽

S. Nacivet

Keyword(s):

Nonlinear Systems ◽

Harmonic Balance ◽

Harmonic Balance Method ◽

The Self ◽

Balance Method ◽

Disc Brake ◽

Brake Squeal ◽

New Treatment

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Time delay effects on oscillation profiles in cyclic gene regulatory networks: Harmonic balance approach

Proceedings of the 2011 American Control Conference ◽

10.1109/acc.2011.5990877 ◽

2011 ◽

Cited By ~ 5

Author(s):

Yutaka Hori ◽

Shinji Hara

Keyword(s):

Time Delay ◽

Gene Regulatory Networks ◽

Harmonic Balance ◽

Regulatory Networks ◽

Balance Approach ◽

Delay Effects ◽

Cyclic Gene ◽

Gene Regulatory

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