Diagnostics of changes in the dynamics of complex systems from transient processes based on multiresolution wavelet analysis
Guyo G.A.
1, Pavlova O.N.
1, Pavlov A.N.
11Institute of Physics, Saratov State University, Saratov, Russia
Email: pavlov.alexeyn@gmail.com
With the use of multiresolution wavelet analysis, the possibilities of diagnosing changes in the dynamical regimes of complex systems from transient processes depending on the rate of variations of control parameters are studied. Estimates are made of the minimum sample size that allows diagnosing a change in the dynamical regime of systems with self-sustained oscillations on the example of transient processes during the formation or destruction of synchronous chaotic oscillations. Keywords: multiresolution analysis, random process, nonstationarity, wavelet.
- J.S. Bendat, A.G. Piersol, Random data: analysis and measurement procedures, 4th ed. (Wiley, N.J., 2010)
- I. Daubechies, Ten lectures on wavelets (S.I.A.M., Philadelphia, 1992)
- I.M. Dremin, O.V. Ivanov, V.A. Nechitailo, Phys. Usp., 44 (5), 447 (2001). DOI: 10.1070/PU2001v044n05ABEH000918
- S.V. Bozhokin, Tech. Phys., 57 (7), 900 (2012). DOI: 10.1134/S1063784212070067
- S.V. Bozhokin, I.M. Suslova, Tech. Phys., 58 (12), 1730 (2013). DOI: 10.1134/S1063784213120074
- P.S. Addison, The illustrated wavelet transform handbook: introductory theory and applications in science, engineering, medicine and finance, 2nd ed. (CRC Press, Boca Raton, 2017)
- A.E. Hramov, A.A. Koronovskii, V.A. Makarov, V.A. Maksimenko, A.N. Pavlov, E. Sitnikova, Wavelets in neuroscience, 2nd ed. (Springer, Cham, 2021). DOI: 10.1007/978-3-030-75992-6
- N.E. Huang, Z. Shen, S.R. Long, M.C. Wu, H.H. Shih, Q. Zheng, N.-C. Yen, C.C. Tung, H.H. Liu, Proc. R. Soc. Lond. A, 454, 903 (1998). DOI: 10.1098/rspa.1998.0193
- C.-K. Peng, S. Havlin, H.E. Stanley, A.L. Goldberger, Chaos, 5, 82 (1995). DOI: 10.1063/1.166141
- R.M. Bryce, K.B. Sprague, Sci. Rep., 2, 315 (2012). DOI: 10.1038/srep00315
- N.S. Frolov, V.V. Grubov, V.A. Maksimenko, A. Luttjohann, V.V. Makarov, A.N. Pavlov, E. Sitnikova, A.N. Pisarchik, J. Kurths, A.E. Hramov, Sci. Rep., 9, 7243 (2019). DOI: 10.1038/s41598-019-43619-3
- A.N. Pavlov, O.N. Pavlova, A.A. Koronovskii, Jr., Tech. Phys. Lett., 46 (3), 299 (2020). DOI: 10.1134/S1063785020030281
- O.N. Pavlova, A.N. Pavlov, Tech. Phys. Lett., 47, 463 (2021). DOI: 10.1134/S1063785021050126
- O.N. Pavlova, A.N. Pavlov, Tech. Phys. Lett., 45 (9), 909 (2019). DOI: 10.1134/S1063785019090268
- S. Thurner, M.C. Feurstein, M.C. Teich, Phys. Rev. Lett., 80, 1544 (1998). DOI: 10.1103/PhysRevLett.80.1544
- I.M. Dremin, V.I. Furletov, O.V. Ivanov, V.A. Nechitailo, V.G. Terziev, Control Eng. Pract., 10, 599 (2002). DOI: 10.1016/S0967-0661(02)00005-9
- O.N. Pavlova, G.A. Guyo, A.N. Pavlov, Physica A, 585, 126406 (2022). DOI: 10.1016/j.physa.2021.126406
- B.P. Bezruchko, T.V. Dikanev, D.A. Smirnov, Phys. Rev. E, 64, 036210 (2001). DOI: 10.1103/PhysRevE.64.036210
- A.A. Koronovskii, D.I. Trubetskov, A.E. Hramov, Dokl. Phys., 48 (4), 166 (2003). DOI: 10.1134/1.1574371
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