Convergence rates of harmonic balance method for periodic solution of smooth and non-smooth systems

DOI10.1016/j.cnsns.2021.105826OpenAlexW3206386375MaRDI QIDQ2025559

Zhong-Rong Lu, Li Wang, Ji-Ke Liu

Publication date: 14 May 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105826

zbMATH Keywords

convergence rateharmonic balance methodnon-smooth systemFourier truncationcoercive condition

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (1)

Event-driven Gauss quadrature and stability analysis for fast alternating frequency-time harmonic balance of non-smooth systems

Uses Software

• MATCONT
• AUTO
• AUTO-07P
• CL_MATCONT
• NLvib

Cites Work

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