Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators

Bernold Fiedler, Alejandro López Nieto, Richard H. Rand +3

We explore stability and instability of rapidly oscillating solutions $x(t)$ for the hard spring delayed Duffing oscillator $$x^{\prime \prime }(t)+ax(t)+bx(t-T)+x^3(t)=0.$$ Fix $T>0$. We target…