The Rosenzweig–Macarthur system analysis as an example of the channels and jokers method

The channels and jokers method, the one for local reduction of a nonlinear problem rank, is discussed. An example of the channels and jokers method application to the analysis of one of the chaotic modes in the singularly perturbed case of the Rosenzweig–Macarthur model of a tritrophic food chain, is given. The results obtained are the further development of the technique of chaotic systems research using both dynamical and statistical methods.