Nonlinear systems analysis (2nd ed.)
Nonlinear systems analysis (2nd ed.)
Bifurcation from infinity and multiple solutions for periodic boundary value problems
Nonlinear Analysis: Theory, Methods & Applications
Periodic solutions of equations with oscillating nonlinearities
Mathematical and Computer Modelling: An International Journal
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Studies are made of forced periodic oscillations in a single-circuit control system with a parameter, the dynamics of which is described by resonance equations in the linear approximation. Criteria are suggested of the origin of resonance that is understood as an increase to infinity of the amplitude of forced oscillations in the approximation of the parameter to certain critical values. The principal results relate to the case when answers are defined by bounded nonlinearities of the order of a constant; the summands that decrease to zero are of no importance.