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math.NA2023★ 1 cited
Reconstruction Harmonic Balance Method and its Application in Solving Complex Nonlinear Dynamical Systems
Dai Honghua, Wang Qisi, Yan Zipu +1
The harmonic balance method is the most commonly used method for solving periodic solutions of nonlinear dynamic systems, but the high-order approximation of nonlinear terms requir…
math.NA2023★ 26 cited
An efficient multiple harmonic balance method for computing quasi-periodic responses of nonlinear systems
Qisi Wang, Zipu Yan, Honghua Dai
Quasi-periodic responses composed of multiple base frequencies widely exist in science and engineering problems. The multiple harmonic balance (MHB) method is one of the most commo…