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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" }