TY - JOUR
T1 - A novel harmonic balance analysis for the Van Der Pol oscillator
AU - Liu, Liping
AU - Dowell, Earl. H.
AU - Hall, Kenneth C.
PY - 2007/1/1
Y1 - 2007/1/1
N2 - This study focuses on a novel harmonic balance formulation, the high-dimensional harmonic balance method. To investigate a non-linearity in the damping term, the system chosen for study is the Van der Pol's oscillator. Both unforced and forced oscillators are analyzed. The results from the analysis are compared with those obtained from the classical harmonic balance and the time marching (Runge-Kutta) methods. © 2007 Elsevier Ltd. All rights reserved.
AB - This study focuses on a novel harmonic balance formulation, the high-dimensional harmonic balance method. To investigate a non-linearity in the damping term, the system chosen for study is the Van der Pol's oscillator. Both unforced and forced oscillators are analyzed. The results from the analysis are compared with those obtained from the classical harmonic balance and the time marching (Runge-Kutta) methods. © 2007 Elsevier Ltd. All rights reserved.
KW - Chaos
KW - Dynamical systems
KW - Harmonic balance method
KW - Limit cycle oscillations
KW - Van der Pol's oscillator
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U2 - 10.1016/j.ijnonlinmec.2006.09.004
DO - 10.1016/j.ijnonlinmec.2006.09.004
M3 - Article
SN - 0020-7462
VL - 42
SP - 2
EP - 12
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
IS - 1
ER -