Grazing bifurcation and chaotic oscillations of vibro-impact systems with one degree of freedom |
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| Authors: | SG Kryzhevich |
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| Institution: | 1. Department of Industrial Engineering and Mathematical Sciences, Marche Polytecnic University, Via Brecce Bianche 1, 60131 Ancona, Italy;2. Department of Mathematical Analysis and Numerical Mathematics, Comenius University, Mlynská dolina, 842 48 Bratislava, Slovakia;3. Mathematical Institute of Slovak Academy of Sciences, ?tefánikova 49, 814 73 Bratislava, Slovakia;1. State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;2. Department of Mechanical and Industrial Engineering, Concordia University, Montreal, QC H3G 1M8, Canada;1. São Paulo State University (UNESP), Câmpus de São João da Boa Vista, São João da Boa Vista, São Paulo, Brazil;2. Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, NM 88003, USA |
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| Abstract: | The bifurcations of dynamical systems, described by a second-order differential equation with periodic coefficients and an impact condition, are investigated. It is shown that a continuous change in the coefficients of the system, during which the number of impacts of the periodic solution increases, leads to the occurrence of a chaotic invariant set. |
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