Global Nonlinear Dynamics: New Novel Concepts and Their Realization Based on the Method of Complete Bifurcation Groups

The work is devoted to the novel global analysis of the strongly nonlinear dynamical systems (NDS) by direct numerical and/or analytical methods, based on the ideas of Poincaré, Birkhoff, Andronov and others [1-8]. The studied nonlinear models, with one or several degrees of freedom, described by ODE or discrete equations, may have different nonlinear positional or dissipative terms, such as polynomial, piecewise-linear, piecewise-smooth and others