Theory of bifurcations: central manifold, local bifurcation, transcritical and pitchfork bifurcation, saddle-node bifurcation, Hopf`s bifurcation
Periodic orbits: stability of non-hyperbolic solutions, Arnold`s tongues, double-period bifurcation
Imperfection theory, subharmonic resonance
Global bifurcations, homoclinic orbits, plain homoclinic bifurcations
Object oriented data structures: collections, lists, containers
Models of interaction of additive dynamic systems
Numeric methods for instable interactions
Programming technologies for parallel computing: proces, thread and synchronization
Measuring of simulated systems: transient and relaxation phenomena, statistics of stationary states, bifurcations diagrams