A parametrically driven circuit shows successive period-doubling bifurcations of its…

PHYSICS · Subjective · Fermi University Physics · Mechanics & Dynamical Systems · Nonlinear dynamics and chaos · Nonlinear dynamics and chaos

Modes, Packets and Media, Ch Driven and pumped nonlinear oscillators and the route to chaos

Problem

A parametrically driven circuit shows successive period-doubling bifurcations of its drive current at

I_1=2.000\,\mathrm{mA}

I_2=2.140\,\mathrm{mA}

and

I_3=2.170\,\mathrm{mA}

. Using the geometric accumulation of a period-doubling cascade with Feigenbaum's ratio

\delta=4.6692

, estimate the drive current

I_\infty

at which the cascade accumulates.