Detail publikace

Current-mode network structures dedicated for simulation of dynamical systems with plane continuum of equilibrium

PETRŽELA, J. GÖTTHANS, T. GUZAN, M.

Originální název

Current-mode network structures dedicated for simulation of dynamical systems with plane continuum of equilibrium

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

This review paper describes different lumped circuitry realizations of the chaotic dynamical systems having equilibrium degeneration into a plane object with topological dimension of the equilibrium structure equals one. This property has limited amount (but still increasing, especially recently) of third-order autonomous deterministic dynamical systems. Mathematical models are generalized into classes to design analog networks as universal as possible, capable of modeling the rich scale of associated dynamics including the so-called chaos. Reference state trajectories for the chaotic attractors are generated via numerical analysis. Since used active devices can be precisely approximated by using third-level frequency dependent model, it is believed that computer simulations are close enough to capture real behavior. These simulations are included to demonstrate the existence of chaotic motion.

Klíčová slova

Circuit synthesis; dynamical system; chaos; lumped network; nonlinear dynamics

Autoři

PETRŽELA, J.; GÖTTHANS, T.; GUZAN, M.

Vydáno

29. 8. 2018

Nakladatel

World Scientific

Místo

Singapore

ISSN

0218-1266

Periodikum

JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS

Ročník

27

Číslo

9

Stát

Singapurská republika

Strany od

1

Strany do

39

Strany počet

39

URL

http://www.worldscientific.com/doi/pdf/10.1142/S0218126618300040

BibTex

@article{BUT142926,
  author="Jiří {Petržela} and Tomáš {Götthans} and Milan {Guzan}",
  title="Current-mode network structures dedicated for simulation of dynamical systems with plane continuum of equilibrium",
  journal="JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS",
  year="2018",
  volume="27",
  number="9",
  pages="1--39",
  doi="10.1142/S0218126618300040",
  issn="0218-1266",
  url="http://www.worldscientific.com/doi/pdf/10.1142/S0218126618300040"
}