Chaotic Phenomena in Josephson Systems

Abstract

In this chapter, we present some results of chaotic behavior of JJ systems. Firstly we discuss physical foundation and characteristics of chaotic dynamics of single JJ with generalized CPR, including anharmonic effects. Influence of control parameters on the dynamics of fractal JJ are discussed in second section. In the next section of the chapter, chaotic dynamics of resistively coupled two JJ system is presented. We further explore the system parameters and focus on the regions where a higher complexity is encountered. In Sect. 5.4 it will be shown that a simpler DC-driven JJ device can generate a wide region of hyperchaos without using an AC source compared to other studies existing in the literature. By doing so, the sensitivity of superconducting devices without the negative impacts of RF-excitation is combined with the highly-chaotic regimes in order to model a device with higher unpredictability. Last section is related with the discussion of synchronization of chaos in system of JJ with resistive coupling.