从准周期到高维混沌无中间低维混沌
From quasiperiodicity to high-dimensional chaos without intermediate low-dimensional chaos
摘要：
我们研究并描述了一个由三个耦合Lorenz振子组成的系统通向高维混沌的直接途径（即不包含中间低维吸引子）。这个中维动力系统的几何分析是通过各种数值定量和定性的技术，最终导致重建的路线。主要发现是，这种转变是由异诊所爆炸式增长组织的。观察到的情况类似于经典的路径，通过同宿爆发的洛伦兹模型的混乱。
英文摘要：
We study and characterize a direct route to high-dimensional chaos (i.e. not implying an intermediate low-dimensional attractor) of a system composed out of three coupled Lorenz oscillators. A geometric analysis of this medium-dimensional dynamical system is carried out through a variety of numerical quantitative and qualitative techniques, that ultimately lead to the reconstruction of the route. The main finding is that the transition is organized by a heteroclinic explosion. The observed scenario resembles the classical route to chaos via homoclinic explosion of the Lorenz model.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
