Hopf Bifurcation Scenario of a Stochastic Aeroelastic Model with Cubic Nonlinearities
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Bibliographic record
Abstract
This paper presents a numerical study of the stochastic Hopf bifurcation of a two-degree-of-freedom noisy aeroelastic system oscillating in pitch and plunge, with a cubic non-linearity in pitch. We consider a mathematical model expressed by a non-linear system of Stratonovich stochastic differential equations. A random dynamical system is associated with this stochastic model, and in this setup a dynamical approach is used to characterize stochastic bifurcation. We use numerical algorithms to estimate the support of the invariant measures and to calculate the Lyapunov exponents. The stochastic Hopf bifurcation corresponds to a change of stability of invariant measures and the occurrence of new invariant measures for the random dynamical system. A stochastic analysis in this case is useful for validating the mathematical model associated with the aeroelastic system.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| 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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