Investigation of the oscillations of essentially nonlinear systems with internal resonance
Oscillations in systems which do not become linear when the small parameter becomes equal to zero are studied. It is assumed that the generating system contains odd-order resonances. Conditionally periodic solutions of the generating and complete systems are constructed with an accuracy of up to first order in the small parameter. The results obtained represent a further development of the theory of bifurcation of the growth of a cycle from a position of equilibrium.
scientific article; zbMATH DE number 4087122