2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/181989In this paper, we investigate the dynamics of Born-Infeld(B-I) phantom model in the $ω-ω'$ plane, which is defined by the equation of state parameter for the dark energy and its derivative with respect to $N$(the logarithm of the scale factor $a$). We find the scalar field equation of motion in $ω-ω'$ plane, and show mathematically the property of attractor solutions which correspond to $ω_ϕ\sim-1$, $Ω_ϕ=1$, which avoid the "Big rip" problem and meets the current observations well.6 pages, 3 figures, some references addedHigh Energy Physics - TheoryAstrophysicsGeneral Relativity and Quantum Cosmologytext