Publication detail

Circuit equivalent to Rucklidge system

PETRŽELA, J.

Original Title

Circuit equivalent to Rucklidge system

English Title

Circuit equivalent to Rucklidge system

Type

conference paper

Language

en

Original Abstract

This short report describes completely analog circuit realization of the so-called Rucklidge equations. Design process is systematic and supported by a circuit-oriented numerical analysis (bifurcation diagrams and Lyapunov exponents) and real experimental verification via the oscilloscope screenshots. Oscillator is constructed such that the very simple one-to-one relations between mathematical model and circuit parameters is achieved. Proposed circuit solution uses off-the-shelf components only and provides independent continuous control of the internal parameters that can be varied within the large scale; a much wider than the real physical system that describes a double convection problem. Very good final agreement between theoretical assumptions (numerical integration) and laboratory measurement is achieved

English abstract

This short report describes completely analog circuit realization of the so-called Rucklidge equations. Design process is systematic and supported by a circuit-oriented numerical analysis (bifurcation diagrams and Lyapunov exponents) and real experimental verification via the oscilloscope screenshots. Oscillator is constructed such that the very simple one-to-one relations between mathematical model and circuit parameters is achieved. Proposed circuit solution uses off-the-shelf components only and provides independent continuous control of the internal parameters that can be varied within the large scale; a much wider than the real physical system that describes a double convection problem. Very good final agreement between theoretical assumptions (numerical integration) and laboratory measurement is achieved

Keywords

analog computer; bifurcation diagram; chaotic oscillator; Lyapunov exponents; strange attractor

Released

10.09.2019

Publisher

University of West Bohemia

Location

Pilsen (Czech Republic)

ISBN

978-80-261-0813-9

Book

2019 International COnference on Applied Electronics

Edition number

1

Pages from

123

Pages to

126

Pages count

4

URL

BibTex


@inproceedings{BUT158570,
  author="Jiří {Petržela}",
  title="Circuit equivalent to Rucklidge system",
  annote="This short report describes completely analog circuit realization of the so-called Rucklidge equations. Design process is systematic and supported by a circuit-oriented numerical analysis (bifurcation diagrams and Lyapunov exponents) and real experimental verification via the oscilloscope screenshots. Oscillator is constructed such that the very simple one-to-one relations between mathematical model and circuit parameters is achieved. Proposed circuit solution uses off-the-shelf components only and provides independent continuous control of the internal parameters that can be varied within the large scale; a much wider than the real physical system that describes a double convection problem. Very good final agreement between theoretical assumptions (numerical integration) and laboratory measurement is achieved",
  address="University of West Bohemia",
  booktitle="2019 International COnference on Applied Electronics",
  chapter="158570",
  doi="10.23919/AE.2019.8866881",
  howpublished="print",
  institution="University of West Bohemia",
  year="2019",
  month="september",
  pages="123--126",
  publisher="University of West Bohemia",
  type="conference paper"
}