  Charged black holes in anti-de Sitter space become unstable to forming
charged scalar hair at low temperatures $T < T_\text{c}$. This phenomenon is a
holographic realization of superconductivity. We look inside the horizon of
these holographic superconductors and find intricate dynamical behavior. The
spacetime ends at a spacelike Kasner singularity, and there is no Cauchy
horizon. Before reaching the singularity, there are several intermediate
regimes which we study both analytically and numerically. These include strong
Josephson oscillations in the condensate and possible 'Kasner inversions' in
which after many e-folds of expansion, the Einstein-Rosen bridge contracts
towards the singularity. Due to the Josephson oscillations, the number of
Kasner inversions depends very sensitively on $T$, and diverges at a discrete
set of temperatures $\{T_n\}$ that accumulate at $T_c$. Near these $T_n$, the
final Kasner exponent exhibits fractal-like behavior.
