Variations of Boundary Surface in Chua’s Circuit

Abstract

The paper compares the boundary surfaces using cross-sections in three projection planes, for the four changes of Chua's circuit parameters. It is known that due to changing the parameters, the Chua's circuit can be characterized not only by stable limit cycle, but also by one double scroll chaotic attractor, two single scroll chaotic attractors or other two stable limit cycles. Chua's circuit can even start working as a binary memory. It is not known yet, how changes in parameters, and consequently in attractors in the circuit, will affect the morphology of the boundary surface. The boundary surface separates the double scroll chaotic attractor from the stable limit cycle. In a variation of the parameters presented in this paper, the boundary surface will separate even single scroll chaotic attractors from each other. Dividing the state space into regions of attraction for different attractors, however, remains fundamentally the same.

Fractional-Order Chaotic Memory with Wideband Constant Phase Elements

“…As nicely demonstrated by the chaotic Chua´s oscillator [44] or memory cell [45], similar to that analyzed in this work, calculation of basins of attraction (BA) for different limit sets can lead to the interesting, unexpected results. For two values of transconductance slopes g 2 outer , namely 18 S and 20 S, graphical visualization of BA is provided by means of Figures 10 and 11 respectively.…”

Circuit Equivalent to Rucklidge System

“…However, analyzed Rucklidge mathematical model is completely different. Sophisticated math analysis, both numerical and analytical, such as that presented in [14], goes far behind allowed length of this paper. Here we can find place for future research.…”

Chaotic Oscillations in Cascoded and Darlington-Type Amplifier Having Generalized Transistors

“…Some researchers were focused on providing a rigorous proof of the existence of the chaotic solution [4], some authors were fascinated by the rich gallery of the strange attractors that can be generated by such simple circuits [5]. Formation of the typical chaotic attractors can be explained by showing geometrical aspects of the vector field [6], analysis of eigenspaces associated with equilibrium points [7], revealing various hidden attractors and demonstrate associated methodology [8], and showing topological entropy [9]. In past years, Chua's circuit received significant attention from the application point of view.…”