$β$	$ε (t)$	$\frac{d ε}{d t}$	$w (t)$	$\frac{d w}{d t}$	$h (t, 0)$	$\frac{d h}{d t} (t, 0)$	$V (t)$	$\frac{d V}{d t}$
$- \infty \leq β < - 1$	$ε (t) \to \infty$ $t \to t_{2}$	>0	$w (t) \to 0$ $t \to t_{2}$	<0	$h (t, 0) \to 0$ $t \to t_{2}$	<0	$V (t) \to 0$ $t \to t_{2}$	<0
$β = - 1$	$ε (t) \to \infty$ $t \to \infty$ Exponentially	>0	$w (t) \to 0$ $t \to \infty$ Exponentially	<0	$h (t, 0) \to 0$ $t \to \infty$ Exponentially	<0	$V (t) \to 0$ $t \to \infty$ Exponentially	<0
$- 1 < β < - \frac{4}{5}$	$ε (t) \to \infty$ $t \to \infty$	>0	$w (t) \to 0$ $t \to \infty$	<0	$h (t, 0) \to 0$ $t \to \infty$	<0	$V (t) \to 0$ $t \to \infty$	<0
$β = - \frac{4}{5}$	$ε (t) = 1$	0	$w (t) \to 0$ $t \to \infty$	<0	$h (t, 0) \to 0$ $t \to \infty$	<0	$V (t) \to 0$ $t \to \infty$	<0
$- \frac{4}{5} < β < - \frac{2}{5}$	$ε (t) \to 0$ $t \to \infty$	<0	$w (t) \to 0$ $t \to \infty$	<0	$h (t, 0) \to 0$ $t \to \infty$	<0	$V (t) \to 0$ $t \to \infty$	<0
$β = - \frac{2}{5}$	$ε (t) \to 0$ $t \to \infty$	<0	$w (t) = 1$	0	$h (t, 0) \to 0$ $t \to \infty$	<0	$V (t) \to 0$ $t \to \infty$	<0
$- \frac{2}{5} < β < 0$	$ε (t) \to 0$ $t \to \infty$	<0	$w (t) \to \infty$ $t \to \infty$	>0	$h (t, 0) \to 0$ $t \to \infty$	<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	$h (t, 0) \to 0$ $t \to \infty$	<0	$V = \frac{3}{4}$	0
$0 < β \leq \infty$	$ε (t) \to 0$ $t \to \infty$	<0	$w (t) \to \infty$ $t \to \infty$	>0	$h (t, 0) \to 0$ $t \to \infty$	<0	$V (t) \to \infty$ $t \to \infty$	>0