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

A generalization of the wavelet-transform modulus maxima method to case multifractal analysis is proposed, in which cooperative dynamics subsystems and change interaction between them are characterized using a joint singularity spectrum. On example phenomenon chaotic synchronization model interacting Lorenz systems, possibility diagnosing functioning regime terms wavelet-based formalism illustrated. Keywords: analysis, random process, scaling,