Dynamics of Interacting Tachyonic Teleparallel Dark Energy

Table 3

Stability of the critical points of Table 1.

Label	Stability
𝐴	Stable point if 0<𝜉<3𝛼^2/4
	Saddle point if 𝜉<0
𝐵	Stable point if 0<𝜉<3𝛼^2/4
	Saddle point if 𝜉<0
𝐶	𝜆Stablepoint(for𝛼<0and𝛽𝜆>0)if2𝛼^21+𝛽1+^2Ω^2𝑚4𝜆^2𝜆<𝜉<^2𝛼^21+1+9(1+(2/3)𝛽Ω𝑚𝜆)^216𝜆^4𝜆or2𝛼^21−1+9(1+(2/3)𝛽Ω𝑚𝜆)^216𝜆^4𝜆<𝜉<^2𝛼^21−𝛽1+^2Ω^2𝑚4𝜆^2
	Saddlepointfor𝛼>0,𝛽𝜆>0and𝜉𝛼^2𝜉−2𝜆^2>𝛽Ω𝑚𝜆𝜆2𝛼if𝜉<^2𝛼^21−𝛽1+^2Ω^2𝑚4𝜆^2𝜆or𝜉>^2𝛼^21+𝛽1+^2Ω^2𝑚4𝜆^2
	Saddlepointforall𝛼,𝛽𝜆>0and𝜉𝛼^2𝜉−2𝜆^2<𝛽Ω𝑚𝜆𝜆2𝛼if2𝛼^21−𝛽1+^2Ω^2𝑚4𝜆^22𝜆<𝜉<0and2𝛼^2𝜆<𝜉<^2𝛼^21+𝛽1+^2Ω^2𝑚4𝜆^2
𝐷	𝜆Stablepoint(for𝛼>0and𝛽𝜆>0)if2𝛼^21+𝛽1+^2Ω^2𝑚4𝜆^2𝜆<𝜉<^2𝛼^21+1+9(1+(2/3)𝛽Ω𝑚𝜆)^216𝜆^4𝜆or2𝛼^21−1+9(1+(2/3)𝛽Ω𝑚𝜆)^216𝜆^4𝜆<𝜉<^2𝛼^21−𝛽1+^2Ω^2𝑚4𝜆^2
	𝜆Saddlepoint(for𝛼>0and𝛽𝜆>0)if2𝛼^21−𝛽1+^2Ω^2𝑚4𝜆^22𝜆<𝜉<0and2𝛼^2𝜆<𝜉<^2𝛼^21+𝛽1+^2Ω^2𝑚4𝜆^2
	𝜆Saddlepoint(for𝛼<0and𝛽𝜆>0)if𝜉<^2𝛼^21−𝛽1+^2Ω^2𝑚4𝜆^2𝜆or𝜉>^2𝛼^21+𝛽1+^2Ω^2𝑚4𝜆^2