Detail publikace

Novel quantification for chaotic dynamical systems with large state attractors

GÖTTHANS, T. PETRŽELA, J.

Originální název

Novel quantification for chaotic dynamical systems with large state attractors

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

In this paper a novel quantification method for large state space attractors is proposed. The suggested approach is briefly described and tested on several dynamical systems with three degrees of freedom. Generalization of the method is for higher dimensional deterministic dynamical systems is also presented. The preliminary results shows that the method can be used for rough recognition of attractor nature and geometry. The significant contribution of proposed approach lies in speed-up the calculation process due to the reduction of one manifold.

Klíčová slova

Neuron models, Hindmarsh-Rose model, differential equations, membrane potential, time domain, plane projection

Autoři

GÖTTHANS, T.; PETRŽELA, J.

Rok RIV

2011

Vydáno

16. 11. 2011

Místo

Angers

ISBN

978-1-61804-051-0

Kniha

Proceedings of 13th International Conference on Mathematical Methods and Computational Techniques in Electrical Engineering (MMACTEE '11) (id 19607)

Strany od

99

Strany do

103

Strany počet

5

BibTex

@inproceedings{BUT74738,
  author="Tomáš {Götthans} and Jiří {Petržela}",
  title="Novel quantification for chaotic dynamical systems with large state attractors",
  booktitle="Proceedings of 13th International Conference on Mathematical Methods and Computational Techniques in Electrical Engineering (MMACTEE '11) (id 19607)",
  year="2011",
  pages="99--103",
  address="Angers",
  isbn="978-1-61804-051-0"
}