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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.NA2022
Collocation-based harmonic balance framework for highly accurate periodic solution of nonlinear dynamical system
Honghua Dai, Zipu Yan, Xuechuan Wang +2
Periodic dynamical systems ubiquitously exist in science and engineering. The harmonic balance (HB) method and its variants have been the most widely-used approaches for such syste…