Multimode oscillations in a coupled oscillator system with fifth-power nonlinear characteristics

A method for obtaining stability of single and nonresonant double-mode oscillations occurring in a system of
N
mutually coupled identical oscillators, is described. These oscillators are characterized by fifth-power nonlinearity. They are coupled by inductances containing resistive components (loss) in a ladder structure. Reduction of stable region of each mode with the increase of the loss is clarified for
N = 2,3,
and 4 both by the theory and digital simulation.