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Information × Registration Number 2117U007353, Article popup.category Стаття Title Lyapunov exponents estimation for strongly nonlinear nonsmooth discontinuous vibroimpact system (AI translated) popup.author Bazhenov V. A.Pogorelova O. S.Postnikova T. G.Bazhenov V. A.Pogorelova O. S.Postnikova T. G. popup.publication 01-01-2017 popup.source_user Київський національний університет будівництва і архітектури popup.source https://repositary.knuba.edu.ua/handle/987654321/3153 popup.publisher КНУБА Description Lyapunov exponents are ones of the most important characteristics for the definition of the dynamical system state. Their estimation for nonsmooth discontinuous system that is vibroimpact system has got certain difficulties. We study their calculation by following the evolution of two nearby orbits in phase space and use three formulas for such estimation. We check this calculation for three different oscillatory regimes: periodic, quasi-periodic and chaotic. We also define the largest Lyapunov exponent by Benettin’s algorithm and compare obtained results. popup.nrat_date 2026-04-20 Close