Publication detail

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

PETRŽELA, J. GÖTTHANS, T. GUZAN, M.

Original Title

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

English Title

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

Type

journal article in Web of Science

Language

en

Original Abstract

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.

English abstract

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.

Keywords

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

Released

29.08.2018

Publisher

World Scientific

Location

Singapore

ISBN

0218-1266

Periodical

JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS

Year of study

27

Number

9

State

SG

Pages from

1

Pages to

39

Pages count

39

URL

Documents

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",
  annote="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.",
  address="World Scientific",
  chapter="142926",
  doi="10.1142/S0218126618300040",
  howpublished="online",
  institution="World Scientific",
  number="9",
  volume="27",
  year="2018",
  month="august",
  pages="1--39",
  publisher="World Scientific",
  type="journal article in Web of Science"
}