Dynamical systems in cosmology

摘要: In this PhD thesis, the role of dynamical systems in cosmology has been studied. Many and processes cosmological interest can be modelled as systems. Motivated by concept hypothetical dark energy that is believed to responsible for recently discovered accelerated expansion universe, various models coupled matter have investigated using a approach. The include quintessence, three-form phantom fields, interacting with different forms. properties these range from mathematically simple ones those better physical motivation justification. It was often encountered linear stability theory fails reveal behaviour As part programme, other techniques such application centre manifold theory, construction Lyapunov functions were considered. Applications so-called methods non-linear applied models. Aforementioned are powerful tools direct applications not only mathematics, theoretical physics engineering, but also finance, economics, immunology, neuroscience many more. One main aims thesis bridge gap between an area cosmology, exciting studies universe whole.