Detail publikace

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

PETRŽELA, J. POLÁK, L.

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

PETRŽELA, J.; POLÁK, L.

Vydáno

31. 1. 2019

Nakladatel

IEEE

Místo

USA

ISSN

2169-3536

Periodikum

IEEE Access

Ročník

7

Číslo

1

Stát

Spojené státy americké

Strany od

17561

Strany do

17577

Strany počet

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"
}