Universality of discontinuous bifurcations in collisionless dynamics

Yoshiyuki Y. Yamaguchi; Julien Barré

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arXiv · 2503.02286

Universality of discontinuous bifurcations in collisionless dynamics

Yoshiyuki Y. Yamaguchi·Julien Barré

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Abstract

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.

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Yoshiyuki Y. Yamaguchi, Julien Barré. 2025-03-04. Universality of discontinuous bifurcations in collisionless dynamics. https://arxiv.org/abs/2503.02286

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