Multifractal analysis of chaotic dynamics in interacting systems

Abstract

We consider methods allowing to study multifractality апа scaling in application to the phenomenon of chaotic synchronization in two coupled oscillatory systems. Using DFA and WTMM techniques we analyze the structure of return time sequences for different model systems and for experimental data. Typical effects caused by the synchronization of chaotic oscillations аге discussed in terms оf multifractal formalism.