Abstract:

We considered dynamical behaviors in a series array consisting of three intrinsic resistivecapacitiveinductiveshunted (IRCLshunted) Josephson junctions (IRCLSJJs), and proposed a scheme to control hyperchaos in the array based on the linear feedback theory. Numerical simulation results show that the array system can be in periodic, chaotic or hyperchaotic states with different parameter ranges; the scheme can make hyperchaotic states of the array enter the stable periodic states. And the stable periodic states with different period numbers can be obtained by adjusting the feedback intensity.

Key words: controlling hyperchaos； intrinsic, Josephson junction array； Lyapunov exponent