Geometric analysis of nonlinear systems

现代科学的力量来自数学。该项目旨在捕捉、识别和描述在科学中普遍存在的非线性系统的关键、超越的解决方案，因为它们总是在某些物理极限下作为数学模型出现。该项目希望通过使用新发现的几何框架，产生新的数学方法来描述这些函数。预期的结果包括离散和高维非线性系统的难以捉摸的解决方案的描述。这将带来显著的好处，例如新的数学知识、创新技术、增强澳大利亚的科学能力。

Modern science derives its power from mathematics. The project aims to capture, identify and describe pivotal, transcendental solutions of nonlinear systems that are universal in science, in the sense that they always arise as mathematical models under certain physical limits. The project expects to produce new mathematical methods to describe such functions by using a newly discovered geometric framework. Expected outcomes include the description of elusive solutions of discrete and higher-dimensional nonlinear systems. This should provide significant benefits, such as new mathematical knowledge, innovative techniques, enhanced scientific capacity in Australia.