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An incremental harmonic balance method with two time-scales for quasi-periodic responses of a Van der Pol–Mathieu equation

J. L. Huang, Tengyao Wang, Weidong Zhu

2021International Journal of Non-Linear Mechanics34 citationsDOI

Topics & Concepts

Van der Pol oscillatorMathieu functionHarmonic balanceMathematical analysisMathematicsFloquet theoryHarmonicHill differential equationMultiple-scale analysisNonlinear systemBifurcationPhysicsParametric oscillatorDifferential equationOrdinary differential equationQuantum mechanicsExact differential equationBladed Disk Vibration DynamicsAdhesion, Friction, and Surface InteractionsRailway Engineering and Dynamics
An incremental harmonic balance method with two time-scales for quasi-periodic responses of a Van der Pol–Mathieu equation | Litcius