S. Sah

collaborators

2 papers

math.DS2019

Unbounded sequences of stable limit cycles in the delayed Duffing equation: an exact analysis

Si Mohamed Sah, Bernold Fiedler, B. Shayak +1

The delayed Duffing equation $x ¨ (t) + x (t - T) + x^{3} (t) = 0$ is shown to possess an infinite and unbounded sequence of rapidly oscillating, asymptotically stable periodic solutions,…

math.DS2019

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 $x^{''} (t) + a x (t) + b x (t - T) + x^{3} (t) = 0.$ Fix $T > 0$ . We target…