Matching Tag: bistable-equations
Consider an ODE of the form of equation with a bistable function f ( y ) f(y) f ( y ) 1 1 1
Assume that f a ( u ) = u ( 1 − u ) ( u − a ) f_a(u)=u(1-u)(u-a) f a ( u ) = u ( 1 − u ) ( u − a ) 0 < a < 1 / 2 0<a<1/2 0 < a < 1/2 K \mathcal{K} K R j \mathcal{R}_j R j j = 1 , … , 5 j=1,\ldots,5 j = 1 , … , 5
Assume that K ( x ) = e − ∣ x ∣ / 2 \mathcal{K}(x)=\mathrm{e}^{-|x|}/2 K ( x ) = e − ∣ x ∣ /2 f a ( u ) = u ( 1 − u ) ( u − a ) f_a(u)=u(1-u)(u-a) f a ( u ) = u ( 1 − u ) ( u − a ) 0 < a < 1 / 2 0<a<1/2 0 < a < 1/2 ( a , d ) ∈ R 2 ∪ R 3 (a,d)\in \mathcal{R}_2\cup\mathcal{R}_3 ( a , d ) ∈ R 2 ∪ R 3 0 < ℓ 1 ∗ < ∞ 0<\ell_1^*<\infty 0 < ℓ 1 ∗ < ∞
