About Lyapunov characteristic indices
DOI:
https://doi.org/10.15407/dopovidi2015.08.064Keywords:
bifurcation, nonlinear system, orbital loss of stability, strange attractorAbstract
An approach to finding the Lyapunov characteristic indices is presented for the tasks of chaotic motions. The approach is based on the analysis of the bifurcations of points of a trajectory.
Downloads
References
Neimark Yu. I., Landa P. S. Stochastic and Chaotic Oscillations, Dordrecht: Kluwer, 1992. https://doi.org/10.1007/978-94-011-2596-3
Anishchenko V. S. Complex Oschillations in Simple Systems, Moscow: Nauka, 1990 (in Russian).
Benettin G., Galgani I., Strelcyn J.M. Phys. Rev. A., 1976, 14, No 6: 2338–2345. https://doi.org/10.1103/PhysRevA.14.2338
Shilnikov L.P., Shilnikov A. L., Turaev D.V., Chua L.O. Methods of Qualitative Theory in Nonlinear Dynamics. Part I., Singapore: World Scientific, 1998. https://doi.org/10.1142/9789812798596
Leonov G.A. Strange Attractors and Classical Stability Theory, St.-Petersburg: University Press, 2008.
Martynyuk A.A., Nikitina N.V. Int. Appl. Mech., 2015, 51, No 2: 540–541. https://doi.org/10.1007/s10778-015-0687-5
Martynyuk A.A., Nikitina N.V. Nonlinear Oscillations, 2014, 17, No 2: 268–280.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Reports of the National Academy of Sciences of Ukraine
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
