Abstract
Using a dynamical system method,we study a Friedmann-Robertson-Walker(FRW)cosmological mod-el within the context of f(Q,C)gravity,where Q is the non-metricity scalar and C represents the boundary term,considering both interacting and non-interacting models.A set of autonomous equations is derived,and solutions are calculated accordingly.We assess the critical points obtained from these equations,identify their characteristic val-ues,and explore the physical interpretation of the phase space for this system.Two types of f(Q,C)are assumed:(ⅰ)f(Q,C)=Q+αQ+βClogC and(ⅱ)f(Q,C)=Q+αQ+β/C,where α and 6 are the parameters.In Model I,we ob-tain two stable critical points,whereas in Model Ⅱ,we identify three stable critical points for both interacting and non-interacting models.We examine the behavior of phase space trajectories at every critical point.We calculate the values of the physical parameters for both systems at each critical point,indicating the accelerated expansion of the Universe.
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