Analysis of the cooperative dynamics of nonlinear systems based on joint singularity spectrum

G. A. Gujo, A. N. Pavlov

Saratov State University, Saratov, Russia

Abstract: 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.

Received: 12.02.2023
Revised: 14.03.2023
Accepted: 14.03.2023

DOI: 10.21883/PJTF.2023.10.55425.19505

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