Improved harmonic balance approach to periodic solutions of non-linear jerk equations

B.S. Wu; C.W. Lim; W.P. Sun

doi:10.1016/j.physleta.2006.01.020

Improved harmonic balance approach to periodic solutions of non-linear jerk equations

Physics Letters A ◽

10.1016/j.physleta.2006.01.020 ◽

2006 ◽

Vol 354 (1-2) ◽

pp. 95-100 ◽

Cited By ~ 37

Author(s):

B.S. Wu ◽

C.W. Lim ◽

W.P. Sun

Keyword(s):

Periodic Solutions ◽

Harmonic Balance ◽

Balance Approach ◽

Non Linear

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Harmonic balance approach to periodic solutions of non-linear jerk equations

Journal of Sound and Vibration ◽

10.1016/s0022-460x(03)00299-2 ◽

2004 ◽

Vol 271 (3-5) ◽

pp. 671-683 ◽

Cited By ~ 37

Author(s):

H.P.W. Gottlieb

Keyword(s):

Periodic Solutions ◽

Harmonic Balance ◽

Balance Approach ◽

Non Linear

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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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Harmonic balance approach to the periodic solutions of the (an)harmonic relativistic oscillator

Physics Letters A ◽

10.1016/j.physleta.2007.09.010 ◽

2007 ◽

Vol 371 (4) ◽

pp. 291-299 ◽

Cited By ~ 29

Author(s):

Augusto Beléndez ◽

Carolina Pascual

Keyword(s):

Periodic Solutions ◽

Harmonic Balance ◽

Balance Approach ◽

Relativistic Oscillator

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A Novel Rational Harmonic Balance Approach for Periodic Solutions of Conservative Nonlinear Oscillators

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns.2009.10.1.13 ◽

2009 ◽

Vol 10 (1) ◽

pp. 13-26 ◽

Cited By ~ 11

Author(s):

A. Beléndez ◽

E. Gimeno ◽

M. L. Álvarez ◽

S. Gallego ◽

M. Ortuño ◽

...

Keyword(s):

Periodic Solutions ◽

Harmonic Balance ◽

Nonlinear Oscillators ◽

Balance Approach

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Non-linear two-frequency analysis of SIS mixers through harmonic balance

Journal de Physique IV (Proceedings) ◽

10.1051/jp420020060 ◽

2002 ◽

Vol 12 (3) ◽

pp. 165-168

Author(s):

S. Withington ◽

P. Kittara ◽

G. Yassin

Keyword(s):

Frequency Analysis ◽

Harmonic Balance ◽

Non Linear

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Periodic and almost periodic solutions of strongly non-linear impulsive systems

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(92)90117-q ◽

1992 ◽

Vol 56 (6) ◽

pp. 829-837 ◽

Cited By ~ 25

Author(s):

M.U. Akhmetov ◽

N.A. Perestyuk

Keyword(s):

Periodic Solutions ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Impulsive Systems ◽

Non Linear

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Periodic solutions and the stability in a non-linear parametric excitation system (2nd report, Consideration of solutions in the neighborhood of resonance of order 1)

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.52.672 ◽

1986 ◽

Vol 52 (474) ◽

pp. 672-677

Author(s):

Sumio YANO ◽

Tadashi KOTERA ◽

Tsutomu HIRAMATSU

Keyword(s):

Periodic Solutions ◽

Parametric Excitation ◽

Excitation System ◽

Non Linear ◽

The Stability

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Some Remarks on the Harmonic Balance Method for Mixed-Parity Non-Linear Oscillations

Journal of Sound and Vibration ◽

10.1006/jsvi.1994.1087 ◽

1994 ◽

Vol 170 (4) ◽

pp. 571-576 ◽

Cited By ~ 16

Author(s):

A.Venkateshwar Rao ◽

B.Nageswara Rao

Keyword(s):

Harmonic Balance ◽

Harmonic Balance Method ◽

Balance Method ◽

Non Linear

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Periodic solutions of non-linear kinematic hardening models

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(199904)22:6<515::aid-mma48>3.0.co;2-s ◽

1999 ◽

Vol 22 (6) ◽

pp. 515-529 ◽

Cited By ~ 4

Author(s):

M. Kunze

Keyword(s):

Periodic Solutions ◽

Kinematic Hardening ◽

Hardening Models ◽

Non Linear

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Application of generalized harmonic balance to an anti-symmetric quadratic non-linear oscillator

Journal of Sound and Vibration ◽

10.1016/0022-460x(92)90759-q ◽

1992 ◽

Vol 159 (3) ◽

pp. 546-548 ◽

Cited By ~ 6

Author(s):

R.E. Mickens ◽

M. Mixon

Keyword(s):

Harmonic Balance ◽

Linear Oscillator ◽

Non Linear ◽

Non Linear Oscillator

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