Publication detail

Minimal realizations of autonomous chaotic oscillators based on trans-immittance filters

PETRŽELA, J. POLÁK, L.

Original Title

Minimal realizations of autonomous chaotic oscillators based on trans-immittance filters

Type

journal article in Web of Science

Language

English

Original Abstract

This review paper describes a design process toward fully analog realizations of chaotic dynamics that can be considered canonical (minimum number of the circuit elements), robust (exhibit structurally stable strange attractors), and novel. Each autonomous chaotic lumped circuit proposed in this paper can be understood as a looped system, where linear trans-immittance frequency lter interacts with an active nonlinear two-port. The existence of chaos is demonstrated via well-established numerical algorithms that represent the current standard in the eld of nonlinear dynamics, i.e., by calculation of the largest Lyapunov exponent and high-resolution 1-D bifurcation diagrams. The achieved numerical results are put into the context of experimental measurement; observed state trajectories prove a one-to-one correspondence between theoretical expectations and practical outputs, i.e., prescribed strange attractors do not represent the chaotic transients. Finally, short term unpredictability of the chaotic ow is demonstrated via calculation of KaplanYorke dimension that is high, i.e., generated waveforms can nd interesting applications in the elds of chaotic masking, modulation, or chaos-based cryptography.

Keywords

Analog oscillator, ltering two-port, chaos, immittance function, Lyapunov exponents, nonlinear dynamics, strange attractors

Authors

PETRŽELA, J.; POLÁK, L.

Released

31. 1. 2019

Publisher

IEEE

Location

USA

ISBN

2169-3536

Periodical

IEEE Access

Year of study

7

Number

1

State

United States of America

Pages from

17561

Pages to

17577

Pages count

17

URL

https://ieeexplore.ieee.org/document/8630955

BibTex

@article{BUT155644,
  author="Jiří {Petržela} and Ladislav {Polák}",
  title="Minimal realizations of autonomous chaotic oscillators based on trans-immittance filters",
  journal="IEEE Access",
  year="2019",
  volume="7",
  number="1",
  pages="17561--17577",
  doi="10.1109/ACCESS.2019.2896656",
  issn="2169-3536",
  url="https://ieeexplore.ieee.org/document/8630955"
}