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We recently analyzed the voltage of the memristic circuit proposed byMuthuswamy and Chua by adding an external sinusoidal oscillation $\gamma\omega\cos\omega t$ to the ${\dot y}(t)\simeq {\dot i_L}(t)$, when the ${\dotx}(t)\simeq {\dot v_C}(t)$ is given by $y(t)/C$.  When $f_s<f_d$ we have observed that the H\"older exponent of the system with$C=1$ is larger than 1, and that of the system with $C=1.2$ is less than 1. Thelatter system is unstable, and the route to chaos via the devil's staircase isobserved.  Above the mode of $f_d=1, f_s=1$ observed at $\omega\simeq 0.5$, we observeda mode of $f_d=1, f_s=2$ at $\omega\simeq 1.15$ and $\simeq 1.05$, in the caseof $C=1$ and 1.2, respectively, and a mode of $f_d=2, f_s=3$ at $\omega\simeq0.85$ and $\simeq 0.78$, in the case of $C=1$ and 1.2, respectively. At highfrequency of $f_s$, there is no qualitative difference in the stability of theoscillation for $C=1$ and $C=1.2$

On the Amplitude of External Perurbation and Chaos via Devil's Staircasein Muthuswamy-Chua System