Singularities And Classifications Of Integrable Systems

哪些工程和自然的数学模型排除了混沌，并具有全局可预测的解决方案？在像光子学和量子引力这样不同的领域中，什么模型会相继出现？答案就在可积系统理论中。 我们的目标是开发强大的新算法，以确定可积模型和推导其显着的性质。这些算法有望回答当代重要的基本问题。长期可能的成果包括应用于非线性光学和量子计算。

What mathematical models of engineering and nature exclude chaos and have globally predictable solutions? What models occur ubquitously in fields as diverse as photonics and quantum gravity? The answers lie in the theory of integrable systems. We aim to develop powerful new algorithms for identifying integrable models and for deducing their remarkable properties. These algorithms are expected to answer fundamental questions of contemporary importance. Longer term possible outcomes include applications to nonlinear optics and quantum computing.