$ϕ^{4}$ equation

Mathematical Analysis of Fractal Kink-Antikink Collisions in the

φ^{4}

We analyze the fractal structure seen in kink-antikink collisions of the

φ^{4}

equation. The analysis is based on qualitative …

$Mathematical Analysis of Fractal Kink-Antikink Collisions in the $\varphi^4$ Model$

Kink-antikink collisions in the

ϕ^{4}

n

-bounce resonance and the separatrix map

We provide a detailed mathematical explanation of a phenomenon known as the two-bounce resonance observed in collisions between kink …

Roy Goodman, Richard Haberman

$Kink-antikink collisions in the $\phi^4$ equation: The $n$-bounce resonance and the separatrix map$