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On the Amplitude of External Perurbation and Chaos via Devil's Staircasein Muthuswamy-Chua System
We recently analyzed the voltage of the memristic circuit proposed by
Muthuswamy and Chua by adding an external sinusoidal oscillation to the , when the is given by .
When we have observed that the H\"older exponent of the system with
is larger than 1, and that of the system with is less than 1. The
latter system is unstable, and the route to chaos via the devil's staircase is
observed.
Above the mode of observed at , we observed
a mode of at and , in the case
of and 1.2, respectively, and a mode of at and , in the case of and 1.2, respectively. At high
frequency of , there is no qualitative difference in the stability of the
oscillation for and Comment: 14 pages, 22 figures, added some corrections to text