Cosmological Dynamics of a Hybrid Chameleon Scenario

Table 1

Location and existence of critical points and corresponding effective equation of state parameter. 𝑚_∗ and (𝑥_𝑄, 𝑦_𝑄, 𝑢_𝑄) are defined by (19) and (20), respectively.

Point	(𝑥, 𝑦, 𝑢)	Existence	𝜔eff
M	(𝑚, −𝑛, 0)	All 𝑚 and 𝑛 and all 𝜔	2𝑚^2−2𝑛^2−1
N	√6𝛽𝜔,√3−3𝜔6𝛽𝜔3𝜔−3,1	All 𝑚 and 𝑛 and 𝜔≠1	𝜔
P	√6𝛽𝜔,√3−3𝜔6𝛽𝜔3𝜔−3,−1	All 𝑚 and 𝑛 and 𝜔≠1	𝜔
Q	(𝑥𝑄, 𝑦𝑄, 𝑢𝑄)	𝑚≥𝑚∗ and all 𝜔	𝑥^2𝑄−𝑦^2𝑄−𝑧^2𝑄+𝜔𝑢^2𝑄𝑥^2𝑄−𝑦^2𝑄+𝑧^2𝑄+𝑢^2𝑄