The Integrable Optics Test Accelerator (IOTA) is a novel storage ring at Fermi National Accelerator Laboratory designed (in part) to investigate the dynamics of beams in the presence of highly nonlinear transverse focusing fields that generate integrable single-particle motion with a large spread in the intrinsic betatron tunes. We describe how contemporary geometrical methods from the theory of integrable Hamiltonian systems may be used to locate all critical separatrix-like structures in the 4D transverse phase space, and to construct a complete analysis of the dynamical bifurcations of the system. Application of these techniques results in a global picture of the nominal on-energy transverse dynamics, revealing a rich diversity of accessible dynamical behavior. Similar techniques may be applied to future facilities that exploit the concept of nonlinear integrable optics.

中文翻译：

---

可积分光学测试加速器中非线性哈密顿动力学的分叉分析

积分光学测试加速器（IOTA）是费米国家加速器实验室设计的一种新型存储环（部分设计），用于研究在存在高度非线性横向聚焦场的情况下光束的动力学，该聚焦场产生可积分的单粒子运动并在其中大范围扩展。固有的电子加速器音调。我们描述了如何利用可积式哈密顿系统理论中的当代几何方法来定位4​​D横向相空间中的所有关键的类似分体的结构，并构造系统的动力学分叉的完整分析。这些技术的应用产生了标称能量横向动力学的全局图，揭示了可访问的动力学行为的丰富多样性。