Universality of discontinuous bifurcations in collisionless dynamics
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910857544335360 |
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| author | Yamaguchi, Yoshiyuki Y. Barré, Julien |
| author_facet | Yamaguchi, Yoshiyuki Y. Barré, Julien |
| contents | We investigate the universality in collisionless nonlinear dynamics of a codimension-two bifurcation where two eigenvalues collide at the origin, and two lines of continuous bifurcation and discontinuous jump meet. Through linear analysis and direct numerical simulations, we show that this bifurcation does occur, both for two-dimensional shear flows and for repulsive systems mimicking plasmas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02286 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universality of discontinuous bifurcations in collisionless dynamics Yamaguchi, Yoshiyuki Y. Barré, Julien Pattern Formation and Solitons Plasma Physics We investigate the universality in collisionless nonlinear dynamics of a codimension-two bifurcation where two eigenvalues collide at the origin, and two lines of continuous bifurcation and discontinuous jump meet. Through linear analysis and direct numerical simulations, we show that this bifurcation does occur, both for two-dimensional shear flows and for repulsive systems mimicking plasmas. |
| title | Universality of discontinuous bifurcations in collisionless dynamics |
| topic | Pattern Formation and Solitons Plasma Physics |
| url | https://arxiv.org/abs/2503.02286 |