$β$	$ε (t)$	$\frac{d ε}{d t}$	$w (t)$	$\frac{d w}{d t}$	$V (t)$	$\frac{d V}{d t}$
$- \infty < β < 0$	$ε (t) \to 0$ $t \to \infty$	<0	$w (t) \to \infty$ $t \to \infty$	>0	$V (t) \to 0$ $t \to \infty$	<0
$β = 0$	$ε (t) \to 0$ $t \to \infty$	<0	$w (t) \to \infty$ $t \to \infty$	>0	$V_{0}$	0
$0 < β < \frac{5}{3}$	$ε (t) \to 0$ $t \to \infty$	<0	$w (t) \to \infty$ $t \to \infty$	>0	$V (t) \to \infty$ $t \to \infty$	>0
$β = \frac{5}{3}$	$ε (t) \to 0$ $t \to \infty$ Exponentially	<0	$w (t) \to \infty$ $t \to \infty$ Exponentially	>0	$V (t) \to \infty$ $t \to \infty$ Exponentially	>0
$\frac{5}{3} < β < 2$	$ε (t) \to 0$ $t \to t_{1}$	<0	$w (t) \to \infty$ $t \to t_{1}$	>0	$V (t) \to \infty$ $t \to t_{1}$	>0
$β = 2$	$ε (t) = 1$	0	$w (t) \to \infty$ $t \to t_{1}$	>0	$V (t) \to \infty$ $t \to t_{1}$	>0
$2 < β < \infty$	$ε (t) \to \infty$ $t \to t_{1}$	>0	$w (t) \to \infty$ $t \to t_{1}$	>0	$V (t) \to \infty$ $t \to t_{1}$	>0