具有耦合场和非零曲率的宇宙学模型中的马蹄铁和不变环面
Horseshoes and invariant tori in cosmological models with a coupled field and non-zero curvature
摘要：
本文研究了一类起源于具有耦合场和非零曲率的Friedman-Lemaitre-Robertson-Walker时空的哈密顿系统的动力学。在四种不同的情况下，以前考虑的Macieplowski，Przybylska，Stachowiak和Szydowski，它表明，有同宿连接不变子流形和连接分裂。这些结果意味着不存在独立于哈密顿量的实解析积分。
英文摘要：
This paper studies the dynamics of a family of hamiltonian systems that originate from Friedman-Lemaître-Robertson-Walker space-times with a coupled field and non-zero curvature. In four distinct cases, previously considered by Maciejewski, Przybylska, Stachowiak & Szydowski, it is shown that there are homoclinic connections to invariant submanifolds and the connections split. These results imply the non-existence of a real-analytic integral independent of the hamiltonian.
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