Detail publikace

New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure

PETRŽELA, J. GÖTTHANS, T.

Originální název

New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

This paper presents a new autonomous deterministic dynamical system with equilibrium degenerated into a plane-oriented hyperbolic geometrical structure. It is demonstrated via numerical analysis and laboratory experiments that the discovered system has both a structurally stable strange attractor and experimentally measurable chaotic behavior. It is shown that the evolution of complex dynamics can be associated with a single parameter of a mathematical model and, due to one-to-one correspondence, to a single circuit parameter. Two-dimensional high resolution plots of the largest Lyapunov exponent and basins of attraction expressed in terms of final state energy are calculated and put into the context of the discovered third-order mathematical model and real chaotic oscillator. Both voltage- and current-mode analog chaotic oscillators are presented and verified by visualization of the typical chaotic attractor in a different fashion.

Klíčová slova

analog oscillator; autonomous deterministic system; circuit synthesis; chaos; nonlinear dynamics; strange attractor

Autoři

PETRŽELA, J.; GÖTTHANS, T.

Vydáno

22. 9. 2017

Nakladatel

MDPI

Místo

Basel, Switzerland

ISSN

2076-3417

Periodikum

Applied Sciences - Basel

Ročník

7

Číslo

10

Stát

Švýcarská konfederace

Strany od

976

Strany do

988

Strany počet

13

URL

https://www.mdpi.com/2076-3417/7/10/976

Plný text v Digitální knihovně

http://hdl.handle.net/11012/137220

BibTex

@article{BUT139701,
  author="Jiří {Petržela} and Tomáš {Götthans}",
  title="New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure",
  journal="Applied Sciences - Basel",
  year="2017",
  volume="7",
  number="10",
  pages="976--988",
  doi="10.3390/app7100976",
  issn="2076-3417",
  url="https://www.mdpi.com/2076-3417/7/10/976"
}