Numerical study of nonlinear oscillations in a clock frequency MEMS-generator
| Autor: | S. I. Fadeev |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Applied Mathematics
Clock rate Mathematical analysis Boundary (topology) 02 engineering and technology Phase plane 01 natural sciences Industrial and Manufacturing Engineering 010101 applied mathematics Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering Ordinary differential equation Limit cycle Boundary value problem 0101 mathematics Nonlinear Oscillations Mathematics |
| Zdroj: | Sibirskii zhurnal industrial'noi matematiki. 23:133-147 |
| ISSN: | 1560-7518 |
| Popis: | Under consideration is some mathematical model of a clock frequency generator, a device of the MEMS class (microelectromechanical systems). We numerically study the solution of the corresponding second-order ordinary differential equation with nonlinear right-hand side and show that there is a region of the model parameters in which the bounded solutions tend to a stable limit cycle in the phase plane and, therefore, the periodic oscillations are stable with respect to the external perturbations. To determine the boundary of the region, we use the parameter continuation method of the solution of the boundary value problem defining the limit cycle. The model leads to the numerical identification of the region of generator operability. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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