Abstract
A method of reconstructing model dynamic evolution equations reduced to the central invariant manifold is described, which is based on an analysis of experimental data from controlled objects. The proposed method takes into account the group transformations of phase trajectories, which retain the topological equivalence of local regions.
Similar content being viewed by others
References
V. S. Anishchenko, T. E. Vadivasova, and V. V. Astakhov, in Nonlinear Dynamics of Chaotic and Stochastic Systems, Ed. by V. S. Anishchenko (Izd. Saratovsk. Univ., Saratov, 1999; Springer, New York, 2007).
L. P. Shilnikov, A. L. Shilnikov, D. V. Turaev, and L. O. Chua, Methods of Qualitative Theory in Nonlinear Dynamics (World Scientific, Singapore, 1998; Inst. Komp’yut. Issled., Moscow-Izhevsk, 2003).
A. Katok and B. Hasselblat, Introduction to the Modern Theory of Dynamical Systems (Cambridge Univ., Cambridge, 1995).
E. V. Nikulchev, Mekhatron. Avtomatiz. Upravl., No. 5, 6 (2006).
G. N. Yakovenko, Electronic Zh., No. 3, 40 (2002), http://www.neva.ru/journal/.
E. V. Nikulchev, Vychisl. Tekhnol. 9(3), 72 (2004).
Author information
Authors and Affiliations
Additional information
Original Russian Text © E.V. Nikulchev, 2007, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2007, Vol. 33, No. 6, pp. 83–89.
Rights and permissions
About this article
Cite this article
Nikulchev, E.V. Geometric method of reconstructing systems from experimental data. Tech. Phys. Lett. 33, 267–269 (2007). https://doi.org/10.1134/S1063785007030248
Revised:
Issue Date:
DOI: https://doi.org/10.1134/S1063785007030248