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| Autor principal: | |
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
| Publicado: |
Zenodo
2026
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| Acceso en línea: | https://doi.org/10.5281/zenodo.18736808 |
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- <p>A three-dimensional reduced model is presented describing the interaction <br>between a dominant flow mode (Galerkin projection of the Stokes problem) <br>and two structural variables: the coherence λ(t) and the structural <br>feedback force σ(t). The system analytically captures the spontaneous <br>emergence of coherent structures through saddle-node bifurcations and <br>possible Hopf bifurcations. The stationary points, the transcendental <br>equilibrium equation, the full Jacobian, the cubic characteristic <br>polynomial, and the exact Routh–Hurwitz conditions for asymptotic <br>stability are explicitly derived. The origin is unstable when the <br>structural force is autocatalytic (γ > 0), enabling self-organization. The <br>dimensionless form of the system and a qualitative analysis of the <br>dynamical regimes are included. The framework is applicable to <br>viscoelastic fluids, biological active fluids, and elastic turbulence. </p>