标题： 一类k-本质宇宙学中宇宙加速的刚性 显示英文标题

标题： Rigidity of cosmic acceleration in a class of k-essence cosmologies

摘要： 我们研究了一类k-essence宇宙学中宇宙加速膨胀（暴胀）的结构稳定性，探讨了势函数形状变化对其的影响。这些模型可以被视为广义的速度子宇宙学，并且该分析扩展了之前关于速度子宇宙学中宇宙加速膨胀结构稳定性的结果。 研究同时考虑了幻影和非幻影的情况。通过哈勃因子函数形式的一个条件定义了刚性和脆弱性的概念。 鉴于已知存在暴胀（非幻影）和超级暴胀（幻影）吸引子的结果，我们提出了它们的结构稳定性问题。我们发现，只要满足暴胀或超级暴胀的条件，这些吸引子就是刚性的，永远不会改变。 显示英文摘要

摘要： We study the structural stability of a cosmic acceleration (inflation) in a class of k-essence cosmologies against changes in the shape of the potential. Those models may be viewed as generalized tachyon cosmologies and this analysis extends previous results on the structural stability of cosmic acceleration in tachyon cosmologies. The study considers both phantom and non-phantom cases. The concepts of rigidity and fragility are defined through a condition on the functional form of the Hubble factor. Given the known result of the existence of inflationary (non-phantom) and super-inflationary (phantom) attractors we formulate the question of their structural stability. We find that those attractors are rigid in the sense that they never change as long as the conditions for inflation or super-inflation are met.