Detail publikace

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

Originální název

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

Anglický název

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

Jazyk

en

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.

Anglický 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.

BibTex


@article{BUT155644,
  author="Jiří {Petržela} and Ladislav {Polák}",
  title="Minimal realizations of autonomous chaotic oscillators based on trans-immittance filters",
  annote="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.",
  address="IEEE",
  chapter="155644",
  doi="10.1109/ACCESS.2019.2896656",
  howpublished="online",
  institution="IEEE",
  number="1",
  volume="7",
  year="2019",
  month="january",
  pages="17561--17577",
  publisher="IEEE",
  type="journal article in Web of Science"
}