Dissipative Nonlinear Dynamics in Holography

Understand

We look at the response of a nonlinearly coupled scalar field in an asymptotically AdS black brane geometry and find a behavior very similar to that of known dissipative nonlinear systems like the chaotic pendulum.

• Transition to chaos proceeds through a series of period-doubling bifurcations.
• The presence of dissipation, crucial to this behavior, arises naturally in a black hole background from the ingoing conditions imposed at the horizon.
• AdS/CFT translates our solution to a chaotic response of the operator dual to the scalar field.