Subharmonic solution of a piecewise linear oscillator with two degrees of freedom
This paper considering headline's system shows the existence of a series of subharmonic resonance solutions of order 1/2, 1/3, 1/4, 1/5, 1/6,..., then a series of superharmonic ones of order 3,5,7,..., and a primary resonance too. The existence of some subharmonic resonance solutions is verified by an analog computer. Due to the authors a state of the system is called a chaotic state if one applies a sinusoidal forcing to the system and it responds with a continuous power density spectrum. The authors obtained chaotic state in this system ''between'' two adjacent periodic solutions, for example between primary resonance and subharmonic one of order 1/2, between subharmonic resonances of order 1/2 and 1/3, and so on. Several plots made by an analog computer are shown.
scientific article; zbMATH DE number 3980573