Publication detail

On the canonical circuit realizations of fourth-order and fifth-order hyperjerk chaotic function

PETRŽELA, J.

Original Title

On the canonical circuit realizations of fourth-order and fifth-order hyperjerk chaotic function

Type

conference paper

Language

English

Original Abstract

This brief paper describes design process toward the simplest lumped circuit implementation of the hyper-jerk function. This is single nonlinear ordinary differential equation able to produce a variety of the robust dense chaotic attractors. Designed oscillators can be considered as canonical in the sense of minimum total number of the circuit elements required for construction. Circuit concept can be understood as the looped system of composed by the active nonlinear two-port and fully passive ladder frequency filter. Fingerprints of robust chaos are provided via numerical analysis, computer-aided simulation and experimental measurement.

Keywords

analog multiplier, basin of attraction, lumped chaotic oscillator, hyper-jerk function, Lyapunov exponent, polynomial vector field, strange attractor

Authors

PETRŽELA, J.

Released

16. 4. 2019

Publisher

IEEE

Location

Pardubice (Czech Republic)

ISBN

978-1-5386-9322-3

Book

In Proceedings of 29th International Conference Radioelektronika 2019

Edition

1

Pages from

39

Pages to

44

Pages count

6

URL

https://ieeexplore.ieee.org/document/8733499

BibTex

@inproceedings{BUT156630,
  author="Jiří {Petržela}",
  title="On the canonical circuit realizations of fourth-order and fifth-order hyperjerk chaotic function",
  booktitle="In Proceedings of 29th International Conference Radioelektronika 2019",
  year="2019",
  series="1",
  pages="39--44",
  publisher="IEEE",
  address="Pardubice (Czech Republic)",
  doi="10.1109/RADIOELEK.2019.8733499",
  isbn="978-1-5386-9322-3",
  url="https://ieeexplore.ieee.org/document/8733499"
}