October 20, 2025Open Access

Universality of discontinuous bifurcations in collisionless dynamics

Key Points

Discontinuous bifurcations were identified in collisionless nonlinear dynamics, highlighting important phenomena.
The analysis revealed that codimension-two bifurcations occur when two eigenvalues collide at the origin.
Linear analysis and direct numerical simulations confirmed the findings across different fluid models.
Results indicate that these concepts may apply broadly to various systems, including plasmas.

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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Cite This Study

Yamaguchi et al. (Tue,) studied this question.

synapsesocial.com/papers/68f64fbb2509bc8625bfb1bd https://doi.org/https://doi.org/10.48550/arxiv.2503.02286