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The impulsive homoclinic orbits related to the different periodic motions are achieved, and the homoclinic bifurcations of periodic motions are determined. The sampled periodic motions and impulsive homoclinic orbits are illustrated for a better understanding of the bifurcation dynamics of impulsive nonlinear systems. Such a method can be applied to other impulsive nonlinear systems.<\/jats:p>","DOI":"10.1142\/s0218127425400115","type":"journal-article","created":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T15:07:37Z","timestamp":1761664057000},"source":"Crossref","is-referenced-by-count":1,"title":["Semi-Analytical Periodic Motions and Bifurcations in a Periodically Impulsive, Damped Pendulum"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8208-6108","authenticated-orcid":false,"given":"Albert C. 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