标题： 零普朗特数对流中的分岔与混沌 显示英文标题

标题： Bifurcation and chaos in zero Prandtl number convection

摘要： 我们展示了零普朗特数瑞利-贝纳德对流开始时的详细分岔结构和相关的流动模式。 我们同时使用直接数值模拟和低维模型，确保两者之间定性一致。 各种流动模式从较高雷诺数下的静态方形通过一系列分岔产生，这些分岔从一个叉式分岔开始，接着是一个霍普夫分岔，最后是一个同宿分岔，当雷诺数降低到临界值时。 在开始附近观察到全局混沌、间歇性和危机。 显示英文摘要

摘要： We present the detailed bifurcation structure and associated flow patterns near the onset of zero Prandtl number Rayleigh B\'enard convection. We employ both direct numerical simulation and a low-dimensional model ensuring qualitative agreement between the two. Various flow patterns originate from a stationary square observed at a higher Rayleigh number through a series of bifurcations starting from a pitchfork followed by a Hopf and finally a homoclinic bifurcation as the Rayleigh number is reduced to the critical value. Global chaos, intermittency, and crises are observed near the onset.