B. Fiedler

activity

20032026

most citedRefuting the odd number limitation of time-delayed feedback control

174 citations · 341 across the 19 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

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★ 18 cited

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…

math.DS2019

Global Hopf bifurcation in networks with fast feedback cycles

Bernold Fiedler

Autonomous sustained oscillations are ubiquitous in living and nonliving systems. As open systems, far from thermodynamic equilibrium, they defy entropic laws which mandate converg…