Publication detail

Novel circuit implementation of the Nóse-Hoover thermostated dynamic system

HRUBOŠ, Z. PETRŽELA, J. GÖTTHANS, T.

Original Title

Novel circuit implementation of the Nóse-Hoover thermostated dynamic system

Type

conference paper

Language

English

Original Abstract

It came as a surprise to most scientists when Lorenz in 1963 discovered chaos in a simple system of three autonomous ordinary differential equations with two quadratic nonlinearities. This paper reviews the numerical analysis, simulation and circuit implementation of conservative chaotic scillator. There is reason to believe that the algebraically simplest examples of chaotic flows with quadratic and piecewise linear nonlinearities have now been identified. A special case of the simple Nose-Hoover system where the chaotic attractor can be observed without the need to se parameters of the system (or all are equal to one) is described.

Keywords

Chaos, strange attractor, differential equations, bifurcation, autonomous oscillator, integrator synthesis

Authors

HRUBOŠ, Z.; PETRŽELA, J.; GÖTTHANS, T.

RIV year

2011

Released

18. 8. 2011

ISBN

978-1-4577-1409-2

Book

Proceedings of the 34th International Conference on Telecommunications and Signal Processing TSP 2011, 18-20.8.2011, Budapest, Hungary

Pages from

307

Pages to

311

Pages count

5

BibTex

@inproceedings{BUT73260,
  author="Zdeněk {Hruboš} and Jiří {Petržela} and Tomáš {Götthans}",
  title="Novel circuit implementation of the Nóse-Hoover thermostated dynamic system",
  booktitle="Proceedings of the 34th International Conference on Telecommunications and Signal Processing TSP 2011, 18-20.8.2011, Budapest, Hungary",
  year="2011",
  pages="307--311",
  isbn="978-1-4577-1409-2"
}