Computation of periodic orbits for piecewise linear oscillator by Harmonic Balance Methods
نویسندگان
چکیده
In this paper, Harmonic Balance based methods, namely Incremental Method and the method of with Alternating Frequency Time traditionally used to compute periodic orbits smooth nonlinear dynamical systems, are employed investigate dynamics a non-smooth system, specifically piecewise linear oscillator play. The was period one orbits, including those exhibiting grazing large impacts. implemented calculate more complex multi stability. A good agreement between obtained approximate solutions numerically calculated responses indicates robustness HBMs, which should allow effectively study global systems.
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ژورنال
عنوان ژورنال: Communications in Nonlinear Science and Numerical Simulation
سال: 2022
ISSN: ['1878-7274', '1007-5704']
DOI: https://doi.org/10.1016/j.cnsns.2021.106220