Analysis of the cooperative dynamics of nonlinear systems based on joint singularity spectrum
Guyo G. A.
1, Pavlov A. N.
11Saratov 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.
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