26 citations · 27 across the 3 of their papers we have counts for
3 papers
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…
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…