Application of joint singularity spectrum to analyze cooperative dynamics of complex systems

Purpose of this work is to generalize the wavelet-transform modulus maxima method case cooperative dynamics interacting systems and introduce joint singularity spectrum into consideration. The research wavelet-based multifractal formalism, generalized version which used quantitatively describe effect chaotic synchronization in model systems. Models coupled Rossler paired nephrons are considered. As a result studies carried out, main changes spectra were noted during transition from synchronous asynchronous oscillations first partial mode second model. Conclusion. Proposed approach can be various nature.