Chua's Circuit Topology Evolution Using Genetic Algorithm

@article{Rk2010ChuasCT,
  title={Chua's Circuit Topology Evolution Using Genetic Algorithm},
  author={{\'A}d{\'a}m R{\'a}k and Gaurav Gandhi and Gy{\"o}rgy Cserey},
  journal={Int. J. Bifurc. Chaos},
  year={2010},
  volume={20},
  pages={687-696}
}
In this paper, a novel approach of using genetic algorithm towards the realization of Chua's circuit is presented. The paper demonstrates the use of genetic algorithm to evolve Chua's circuit from a set of given passive and active components. More than a dozen of the evolved designs are demonstrated to work satisfactorily in simulation. The evolved designs are found to be competitive in a human environment and are also demonstrated to work in a laboratory set up. 

Figures and Tables from this paper

Emergence of chaos in transistor circuits evolved towards maximization of approximate signal entropy
  • L. Minati
  • Physics
    2013 8th International Symposium on Image and Signal Processing and Analysis (ISPA)
  • 2013
TLDR
The proposed approach offers a novel means to generate chaotic signal sources without prior topological assumptions, and the emergence of chaos from signal entropy maximization has potential implications for the study of biological neural networks.
RACER data stream based array processor and algorithm implementation methods as well as their applications for parallel, heterogeneous computing architectures
TLDR
This dissertation describes polyhedron based algorithm optimization method for GPUs and other many core architectures, describes and illustrates the loops, data dependencies and optimizations with polyhedrons, and introduces a new data stream based array processor architecture, called RACER.

References

SHOWING 1-10 OF 18 REFERENCES
The Genesis of Chua's circuit
Following a non-technical personal reminiscence of the author's conception of Chua's circuit, this paper presents the systematic sequence of technical steps which the author used to design his
Chua's circuit decomposition: a systematic design approach for chaotic oscillators
Implementation of Chua's chaotic circuit using current feedback op-amps
TLDR
The authors present a new, current feedback op-amp-based, implementation of Chua's chaotic circuit that offers several advantages over an earlier one based upon traditional voltage-mode op-amps.
An Improved Chua's Circuit and Its Use in Hyperchaotic Circuit
An improved implementation of Chua's circuit using dual output current conveyor is presented. The present proposal offers the advantages of low component count, current mode processing, availability
Periodicity and Chaos in Chua's Circuit
This paper reports a period-doubling route to chaos as observed from a laboratory model of the simplest possible chaotic autonomous circuit: it is made of two linear capacitors, one linear inductor,
An inductorless CMOS realization of Chua’s circuit
A chaotic attractor from Chua's circuit
A chaotic attractor has been observed with an extremely simple autonomous circuit. It is third order, reciprocal and has only one nonlinear element; a 3-segment piecewise-linear resistor. The
Chua's Circuit: A Paradigm for Chaos
TLDR
Strange attractors and dynamical models, L.O. Kennedy sound and music from Chua's low-level visual sensing, E.J. Elgar and M.P. Shil'nikov from the Chua circuit to the generalized Chua map.
A universal circuit for studying and generating chaos. I. Routes to chaos
In this introductory tutorial paper, we demonstrate the generality of Chua's oscillator in generating chaos and bifurcation phenomena by electronic laboratory experiments which illustrate the
Improved Realization of Mixed-Mode Chaotic Circuit
TLDR
An improved realization of mixed-mode chaotic circuit which has both autonomous and nonautonomous chaotic dynamics is proposed, and FTFN-based topology used in this realization enables the simulation of ideal floating and grounded inductance.
...
...