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Information × Registration Number 0208U002444, 0106U011054 , R & D reports Title Transition to chaotic behavior in nano- and micromechanical systems. popup.stage_title Head Tsarin Yuriy, Registration Date 30-01-2008 Organization Institute of Radio Astronomy of the National Academy of Sciences of Ukraine popup.description2 The research objective lies in the analysis of weakly nonlinear models, which are used for description of oscillations in micro- and nanoelectromechanical systems (MEMS and NEMS). The goal of the research is theoretical consideration of these models and finding conditiotions, where complicate behavior in the models takes place, namely, chaotic instability. The main result of the research - evidence that model undergoes the chaotitic instability yet with only two interacting modes. This result is achieved with numerical simulation, which also showed the typical scenarios of transition to chaos - period doubling series. Much attention is paid to development of analytical criterions of chaotization, based on the Melnikov and normal hyperbolic resonance methods. A proposed double resonance concept for a sets of resonance tori may allow application of the Melnikov method for description of pecuiliarities of chaotization. Product Description popup.authors popup.nrat_date 2020-04-02 Close