On the numerical approximation of invariant manifolds for quasiperiodic motions
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Bibliographic record
Abstract
Abstract The interference of oscillations with different physical origins with incommensurable frequencies can lead to quasiperiodic motions. Concerning engineering problems, there is a variety of models which exhibit multi frequent oscillations. This contribution proposes a numerical approach approximating stationary solutions by an invariant manifold. To apply the approach a partitioning of the phase variables is necessary, which defines the parametrisation of a dynamical system. In order to demonstrate the applicability of the proposed method, stationary solutions of an unbalanced Laval‐rotor (Jeffcott‐rotor) are calculated and continued under variation of a control parameter. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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