2 papers
math.DS2021
Geometric invariance of determining and resonating centers: Odd- and any-number limitations of Pyragas control
B. de Wolff, I. Schneider
In the spirit of the well-known odd-number limitation, we study failure of Pyragas control of periodic orbits and equilibria. Addressing the periodic orbits first, we derive a fund…
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 for the hard spring delayed Duffing oscillator Fix . We target…