Bazhenov, V. A.Pogorelova, O. S.Postnikova, T. G.2020-04-302020-04-302017Bazhenov V. A. Lyapunov exponents estimation for strongly nonlinear nonsmooth discontinuous vibroimpact system / V. A. Bazhenov, O. S. Pogorelova, T. G. Postnikovа // Опір матеріалів і теорія споруд : наук.- техн. зб. / Київ. нац. ун-т буд-ва і архіт. ; відп. ред. В. А. Баженов. – Київ, 2017. – Вип. 99. – С. 90-105. - Бібліогр. : 40 назв.2410-2547https://repositary.knuba.edu.ua/handle/987654321/3153Lyapunov 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.ennonsmooth dynamic systemLyapunov exponentnearby orbitsBenettin’s algorithmthe department building mechanicsArticle