Technical Physics Letters
To authors
Volumes and Issues
- 2025
- 2024
- 2023
- 2022
Analysis of the cooperative dynamics of nonlinear systems based on joint singularity spectrum
Guyo G. A.1, Pavlov A. N.
1
1Saratov State University, Saratov, Russia
Email: guyo199814@gmail.com, pavlov.alexeyn@gmail.com
A generalization of the wavelet-transform modulus maxima method to the case of multifractal analysis is proposed, in which the cooperative dynamics of subsystems and the change in the interaction between them are characterized using a joint singularity spectrum. On the example of the phenomenon of chaotic synchronization in the model of interacting Lorenz systems, the possibility of diagnosing a change in the functioning regime in terms of the wavelet-based multifractal formalism is illustrated. Keywords: multifractal analysis, random process, scaling, singularity spectrum.
- C. Jin, C. Song, J. Bjelland, G. Canright, D. Wang, Nat. Human Behav., 3, 837 (2019). DOI: 10.1038/s41562-019-0638-y
- 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
- T. Myo, K. Kat o, Prog. Theor. Exp. Phys., 2020, 12A101 (2020). DOI: 10.1093/ptep/ptaa101
- A. Plati, A. Puglisi, Sci. Rep., 11, 14206 (2021). DOI: 10.1038/s41598-021-93091-1
- J.F. Muzy, E. Bacry, A. Arneodo, Phys. Rev. Lett., 67, 3515 (1991). DOI: 10.1103/PhysRevLett.67.3515
- J.F. Muzy, E. Bacry, A. Arneodo, Int. J. Bifurc. Chaos, 4, 245 (1994). DOI: 10.1142/S0218127494000204
- J.W. Kantelhardt, S.A. Zschiegner, E. Koscielny-Bunde, S. Havlin, A. Bunde, H.E. Stanley, Physica A, 316, 87 (2002). DOI: 10.1016/S0378-4371(02)01383-3
- E.A.F. Ihlen, Front. Physiol., 3, 141 (2012). DOI: 10.3389/fphys.2012.00141
- 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
- V.S. Anishchenko, A.N. Silchenko, I.A. Khovanov, Phys. Rev. E, 57, 316 (1998). DOI: 10.1103/PhysRevE.57.316
- A.N. Pavlov, V.S. Anishchenko, Phys. Usp., 50 (8), 819 (2007). DOI: 10.1070/PU2007v050n08ABEH006116
- A.N. Pavlov, O.N. Pavlova, Tech. Phys. Lett., 34 (4), 306 (2008). DOI: 10.1134/S1063785008040111
- A.N. Pavlov, E.N. Pitsik, G.A. Guyo, N.S. Frolov, V.V. Grubov, O.N. Pavlova, Z. Wang, A.E. Hramov, Eur. Phys. J. Plus, 136, 408 (2021). DOI: 0.1140/epjp/s13360-021-01423-x
- G.A. Guyo, A.N. Pavlov, E.N. Pitsik, N.S. Frolov, A.A. Badarin, V.V. Grubov, O.N. Pavlova, A.E. Hramov, Chaos, Solit. Fract., 158, 112038 (2022). DOI: 10.1016/j.chaos.2022.112038
Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.
Дата начала обработки статистических данных - 27 января 2016 г.