Publication result detail

Novel quantification for chaotic dynamical systems with large state attractors

GÖTTHANS, T.; PETRŽELA, J.

Original Title

Novel quantification for chaotic dynamical systems with large state attractors

English Title

Novel quantification for chaotic dynamical systems with large state attractors

Type

Paper in proceedings (conference paper)

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

GÖTTHANS, T.; PETRŽELA, J.

RIV year

2013

Released

16.11.2011

Location

Angers

ISBN

978-1-61804-051-0

Book

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

Pages from

99

Pages to

103

Pages count

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"
}