In this tutorial paper, we present a history of Smale horseshoe and an overview of the
progress of topological horseshoe theory. Then we offer a pedagogical exposition of …

In this paper, a new four-variable dynamical system is proposed to set chaotic circuit
composed of memristor and Josephson junction, and the dependence of chaotic behaviors …

Based on fractional transfer function approximation in frequency domain, the paper firstly
discusses the fractional form of a four-wing autonomous integral-order chaotic system, and …

In this paper Josephson junctions are used in order to generate n-scroll and n-scroll
hypercube attractors. The design and realization of multi-scroll attractors depends on …

The paper captures the analytical and numerical investigations of the fractal resistive–
capacitive–inductive shunted Josephson junction (FRCLSJJ) and its microcontroller …

For a three-dimensional autonomous four-wing chaotic attractor, this paper rigorously
verifies its chaotic properties by using topological horseshoe theory and numerical …

This paper investigates the synchronization of coupled RCL-shunted Josephson junction
that is of interest in high-frequency applications. A nonlinear controller is developed in order …

This paper explore the dynamics, Field Programmable Gate Array (FPGA) validation of an
autonomous piecewise dam** Josephson junction jerk oscillator (APDJJJO) and uses it to …

The controls of chaotic and coexisting attractors and collective dynamics in linear resistive-
capacitive-inductive shunted Josephson junction (LRCISJJ) model are investigated in this …

Josephson junction oscillators can generate chaotic signals with a wide frequency spectrum.
An improved scheme of Lyapunov functions is proposed to control chaotic resonators of this …