HBSS_Cont: A harmonic balance and stability-based continuation toolbox for extended nonlinear state-space models

HBSS_Cont HBSS_Cont is a Matlab toolbox for nonlinear frequency response analysis based on Harmonic Balance in extended state space combined with pseudo-arc-length continuation. The toolbox supports continuous and discrete-time state-space models, created analytically or identified experimentally with methods such as NSI (Nonlinear Subspace Identification) or NFR-ID. Stability analysis of periodic solutions is also performed through Floquet multipliers, with automatic detection of Fold, Period-Doubling, and Neimark–Sacker bifurcations. Included examples Duffing oscillator (SDOF benchmark) 5-DOF chain with cubic stiffness Cantilever beam with motion limiters (NFR-ID) Double-well oscillator identified via NSI Documentation User Guide included in the docs/ folder.