Consideration is given to the model containing coupled subsystems and obeying a system of
ordinary differential equations (ODE) where the subsystems represent autonomous ODEs. The
relations between subsystems is defined by the parameter ε; it is equal to zero, then the model
decomposes into independent subsystems. MCCS may have one or more such parameters reflecting
the hierarchical nature of its subsystems. In the general case, each subsystem has its own size and
can be either linear or nonlinear, whereas its physical nature can be different. The N-planet problem
where the subsystems lie at the same hierarchical level, multilink pendulum, coupled oscillators
where the subsystems are connected serially, Sun-planet-satellites system, system of translatoryrotational
celestial bodies representing the two-level hierarchical structures, robotic systems with
possible cross-couplings, wind turbine representing an electromechanical system, model of DNA
oscillations, coupled neurons, mechanotronic problems and others exemplify MCCS.
